Chapter-wise Worksheets for Class 3 Mathematics: All Chapters
Review targeted academic worksheets with the CBSE Class 3 Mathematics Revision Worksheet Set 23. Built according to official educational standards for the 2026-27 term, these downloadable Class 3 Mathematics resources support effective daily practice and detailed self-evaluation for All Chapters.
Practice Class 3 Mathematics Worksheets: All Chapters
View or download the dedicated CBSE Class 3 Mathematics Revision Worksheet Set 23 resource below. Engaging with these practice papers under focused study conditions ensures continuous academic progress and mastery of the 2026-27 curriculum for All Chapters.
MATHEMATICS
I. Fill in the blanks
1. The smallest 1 digit number is ___________.
2. The largest 1 digit number is ___________.
3. The smallest two digit number is ___________.
4. The largest two digit number is ___________.
5. The smallest three digit number is ___________.
6. The largest three digit number is ___________.
7. The smallest four digit number is ___________.
8. The largest four digit number is ___________.
9. 1 Ten = ___________ ones.
10. 1 Hundred = ___________ Tens.
11. 10 Hundreds = ___________ Thousand
12. The smallest 5 digit number is ___________.
13. A number written in figures is the ___________.
14. A number written in words is the ___________.
15. The successor of 999 is ___________.
16. The predecessor of 7390 is ___________.
17. The place value of 5 in 6538 is ___________.
18. The place value of zero is ___________.
19. The face value of 7 in 6378 is ___________.
20. The number just before 2000 is ___________.
21. A number that comes just after a given number is called its ______________.
22. The successor of a number is ___________ greater than the number.
23. A number that comes just before a given number is called its _____________.
24. The predecessor of a number is ___________ less than the number.
25. The successor of 3999 is ___________.
Ex -24 ( word problem )
Do sum no 1,3,5,7,9,11,13,15 in Maths Note book.
1) Solution : 5
No of words type in 1 min -- 7 5 4
No of words type in 48 min -- 4 8 x 7 5 = 4 8
x 7 5
_________
2 8 0
3 3 6 x
_________
3 6 4 0
Ans She can type 3640 words in 48 min
3) Solution : 1
No of slice in 1 loaf -- 2 4 2
No of slice in 65 loaves -- 6 5 x 2 4 = 6 5
x 2 4
_______
2 6 0
1 3 0 x
1 5 6 0
There are 1560 slices in 65 loaves
5) Solution :
Cost of 1 chair -- rs 375 6 4
Cost of 18 chairs -- 375 x 18 = 3 7 5
x 1 8
________
3 0 0 0
3 7 5 x
_________
6 7 5 0
__________
Ans rs 6750 is the cost of 18 chairs .
7 ) Solution : 2 4
No of buttons in 1 packet -- 148 1 3
No of buttons in 64 packets -- 148 x 64 = 1 4 8
x 6 4
_________
5 9 2
8 8 8 x
________
9 4 7 2
_________
Ans 9472 no of buttons in 64 packets
9 ) Solution : 1
No of gunny bags in 1 truck -- 352 4 1
No of gunny bags in 28 trucks -- 352 x 28 = 3 5 2
x 2 8
_______
2 8 1 6
7 0 4 x
_______
9 8 5 6
________
Ans 9856 no of gunny bags in 28 trucks
11 ) Solution : 3 3
No of trees in each row -- 189 7 7
No of trees in 48 rows -- 189 x 48 = 1 8 9
x 4 8
1 5 1 2
7 5 6 x
________
9 0 7 2
________
Ans 9072 trees are there in 48 rows .
13) Solution : 2 3
Contribution of each boy -- rs 168 1 1
Contribution of 42 boys -- rs 168 x 42 = 1 6 8
x 4 2
________
3 3 6
6 7 2 x
_________
7 0 5 6
Ans Money collected from 42 boys was rs 7056.
15) Solution : 1
Production of screws in 1 hour -- 346 1 1
Production of screws in 23 hours -- 346 x 23 = 3 4 6
x 2 3
_________
1 0 3 8
7 9 2 x
_________
8 9 5 8
Ans Production of screws in 23 hours will be 8958 .
Question 1. Fill in the blanks
1. The smallest 1 digit number is ___________.
2. The largest 1 digit number is ___________.
3. The smallest two digit number is ___________.
4. The largest two digit number is ___________.
5. The smallest three digit number is ___________.
6. The largest three digit number is ___________.
7. The smallest four digit number is ___________.
8. The largest four digit number is ___________.
9. 1 Ten = ___________ ones.
10. 1 Hundred = ___________ Tens.
11. 10 Hundreds = ___________ Thousand
12. The smallest 5 digit number is ___________.
13. A number written in figures is the ___________.
14. A number written in words is the ___________.
15. The successor of 999 is ___________.
16. The predecessor of 7390 is ___________.
17. The place value of 5 in 6538 is ___________.
18. The place value of zero is ___________.
19. The face value of 7 in 6378 is ___________.
20. The number just before 2000 is ___________.
21. A number that comes just after a given number is called its ______________.
22. The successor of a number is ___________ greater than the number.
23. A number that comes just before a given number is called its _____________.
24. The predecessor of a number is ___________ less than the number.
25. The successor of 3999 is ___________.
Answer:
1. 1
2. 9
3. 10
4. 99
5. 100
6. 999
7. 1000
8. 9999
9. 10
10. 10
11. 1
12. 10000
13. numeral
14. number name
15. 1000
16. 7389
17. 500
18. 0
19. 7
20. 1999
21. successor
22. 1
23. predecessor
24. 1
25. 4000
In simple words: This helps us learn about basic numbers, their place values, and what comes just before or after them.
Exam Tip: Read each blank carefully. Always remember that a successor is the next number, and a predecessor is the number just before it.
Question 2. Write the number name
1. 9567 ______________________________________________ .
2. 3078 ______________________________________________ .
3. 7300 ______________________________________________ .
4. 6999 ______________________________________________ .
5. 7931 ______________________________________________ .
Answer:
1. Nine thousand five hundred sixty-seven
2. Three thousand seventy-eight
3. Seven thousand three hundred
4. Six thousand nine hundred ninety-nine
5. Seven thousand nine hundred thirty-one
In simple words: We can write any number using words to say its name out loud.
Exam Tip: Start from the thousands place and write the numbers exactly as you say them.
Question 3. Write the consecutive numerals
1. 5098 _________ , _________ , _________ , ________ , ________ .
2. 9900 _________ , _________ , _________ , _________ , _________ .
3. 7162 _________ , _________ , _________ , _________ , _________ .
4. 7999 _________ , _________ , _________ , _________ , _________ .
5. 4079 _________ , _________ , _________ , _________ , _________ .
6. 5899 _________ , _________ , _________ , _________ , _________ .
Answer:
1. 5098, 5099, 5100, 5101, 5102, 5103
2. 9900, 9901, 9902, 9903, 9904, 9905
3. 7162, 7163, 7164, 7165, 7166, 7167
4. 7999, 8000, 8001, 8002, 8003, 8004
5. 4079, 4080, 4081, 4082, 4083, 4084
6. 5899, 5900, 5901, 5902, 5903, 5904
In simple words: Consecutive numbers are numbers that follow one after another in order without skipping any.
Exam Tip: Just add 1 to the last number to find the next one.
Question 4. Write the consecutive numerals backwards
1. 6892 _________ , _________ , _________ , _________ , _________ .
2. 7520 _________ , _________ , _________ , _________ , _________ .
3. 6700 _________ , _________ , _________ , _________ , _________ .
4. 9670 _________ , _________ , _________ , _________ , _________ .
5. 8000 _________ , _________ , _________ , _________ , _________ .
6. 5100 _________ , _________ , _________ , _________ , _________ .
Answer:
1. 6892, 6891, 6890, 6889, 6888, 6887
2. 7520, 7519, 7518, 7517, 7516, 7515
3. 6700, 6699, 6698, 6697, 6696, 6695
4. 9670, 9669, 9668, 9667, 9666, 9665
5. 8000, 7999, 7998, 7997, 7996, 7995
6. 5100, 5099, 5098, 5097, 5096, 5095
In simple words: Counting backwards means subtracting 1 from each number to find the previous one.
Exam Tip: Subtract 1 from the ones place at each step to count backwards correctly.
Question 5. Write the numerals
1. Six thousand seven hundred ninety five ________________________________________________________
2. Eight thousand five ________________________________________________________
3. Four thousand five ________________________________________________________
4. Three thousand four hundred sixty eight ________________________________________________________
5. Two thousand two hundred ________________________________________________________
6. Seven thousand sixty five ________________________________________________________
Answer:
1. 6795
2. 8005
3. 4005
4. 3468
5. 2200
6. 7065
In simple words: This is writing down numbers using digits instead of words.
Exam Tip: Put a zero as a placeholder in any place value that is not mentioned in the words.
Question 6. Write the successor and predecessor of the following
| Number | Successor | Predecessor |
|---|---|---|
| 5950 | ||
| 3999 | ||
| 9907 | ||
| 7001 | ||
| 8900 | ||
| 4385 | ||
| 3000 | ||
| 6209 |
Answer:
| Number | Successor | Predecessor |
|---|---|---|
| 5950 | 5951 | 5949 |
| 3999 | 4000 | 3998 |
| 9907 | 9908 | 9906 |
| 7001 | 7002 | 7000 |
| 8900 | 8901 | 8899 |
| 4385 | 4386 | 4384 |
| 3000 | 3001 | 2999 |
| 6209 | 6210 | 6208 |
In simple words: The successor is the number that comes next, and the predecessor is the number that comes just before.
Exam Tip: To find the successor, add 1. To find the predecessor, subtract 1.
Question 7. Write the next five numbers according to the pattern given
1. 4017, 4027, 4037 ___________________________________________________
2. 1121, 2121, 3121 ___________________________________________________
3. 2305, 2310, 2315 ___________________________________________________
4. 6045, 6050, 6055 ___________________________________________________
5. 5125, 5225, 5325 ___________________________________________________
6. 4022, 4024, 4026 ___________________________________________________
Answer:
1. 4047, 4057, 4067, 4077, 4087 (Adding 10 each time)
2. 4121, 5121, 6121, 7121, 8121 (Adding 1000 each time)
3. 2320, 2325, 2330, 2335, 2340 (Adding 5 each time)
4. 6060, 6065, 6070, 6075, 6080 (Adding 5 each time)
5. 5425, 5525, 5625, 5725, 5825 (Adding 100 each time)
6. 4028, 4030, 4032, 4034, 4036 (Adding 2 each time)
In simple words: Look at how the numbers change to find the rule, then use that rule to write the next numbers.
Exam Tip: Check the difference between the first two numbers to find the correct pattern.
Question 8. Write the place value and face value of the underlined digits.
(Note: The underlined digit is shown inside the parentheses in the table below.)
| Number | Face value | Place value |
|---|---|---|
| 39(8)5 | ||
| (6)128 | ||
| 712(9) | ||
| 5(0)46 | ||
| 9(6)25 | ||
| 1(1)28 | ||
| 607(5) | ||
| 42(1)0 |
Answer:
| Number | Face value | Place value |
|---|---|---|
| 39(8)5 | 8 | 80 |
| (6)128 | 6 | 6000 |
| 712(9) | 9 | 9 |
| 5(0)46 | 0 | 0 |
| 9(6)25 | 6 | 600 |
| 1(1)28 | 1 | 100 |
| 607(5) | 5 | 5 |
| 42(1)0 | 1 | 10 |
In simple words: The face value is just the digit itself, while the place value depends on where the digit sits in the number.
Exam Tip: Face value never changes, but place value multiplies the digit by its column value (Ones, Tens, Hundreds, or Thousands).
Question 9. Fill in the blanks :
5185 = _____ thousands _____ hundreds _____ tens ______ ones
3029 = _____ thousands _____ hundreds _____ tens ______ ones
9999 = _____ thousands _____ hundreds _____ tens ______ ones
7650 = _____ thousands _____ hundreds _____ tens ______ ones
Answer:
5185 = 5 thousands 1 hundreds 8 tens 5 ones
3029 = 3 thousands 0 hundreds 2 tens 9 ones
9999 = 9 thousands 9 hundreds 9 tens 9 ones
7650 = 7 thousands 6 hundreds 5 tens 0 ones
In simple words: This shows how many thousands, hundreds, tens, and ones are in a four-digit number.
Exam Tip: Always check the digit in each place value column to fill the blanks correctly.
Question 10. Write the expanded form
5629
7120
5008
6125
3467
4813
6859
5010
Answer:
5629 = 5000 + 600 + 20 + 9
7120 = 7000 + 100 + 20 + 0
5008 = 5000 + 0 + 0 + 8 (or 5000 + 8)
6125 = 6000 + 100 + 20 + 5
3467 = 3000 + 400 + 60 + 7
4813 = 4000 + 800 + 10 + 3
6859 = 6000 + 800 + 50 + 9
5010 = 5000 + 0 + 10 + 0 (or 5000 + 10)
In simple words: Writing a number in expanded form means showing the value of each digit added together.
Exam Tip: Add zeros to each digit based on its place value position to write the expanded form.
Question 11. Write in the Short form
1. 8 thousands + 5 hundreds + 6 tens + 5 ones =
2. 9 thousands + 0 hundreds + 4 tens + 3 ones =
3. 5 thousands + 7 hundreds + 0 tens + 4 ones =
Answer:
1. 8565
2. 9043
3. 5704
In simple words: Put the values of thousands, hundreds, tens, and ones together to make a single number.
Exam Tip: Arrange the digits from left to right starting with the thousands place.
Question 12. Show on abacus
1) 3015 2) 5423 3) 2006 4) 1824
Answer:
1) 3015:
2) 5423:
3) 2006:
4) 1824:
In simple words: An abacus uses colorful beads on spikes to show the value of each digit.
Exam Tip: Make sure the number of beads on each spike matches the digit in that place value.
Question 13. Fill in the blanks using < or >
1. 1359 [___] 650
2. 2643 [___] 5818
3. 4006 [___] 6009
4. 3148 [___] 3146
5. 7326 [___] 7456
6. 8436 [___] 8435
Answer:
1. 1359 > 650
2. 2643 < 5818
3. 4006 < 6009
4. 3148 > 3146
5. 7326 < 7456
6. 8436 > 8435
In simple words: Use the greater than (>) or less than (<) sign to show which of the two numbers is bigger.
Exam Tip: The open side of the mouth of the sign always points to the bigger number.
Question 14. Encircle the largest number
1. 8767, 7676, 6767, 8787, 7867
2. 4008, 4800, 4080, 4088, 4808
3. 1357, 1753, 1573, 1735, 1537
Answer:
1. 8787
2. 4808
3. 1753
In simple words: Compare the numbers to find the one with the greatest value.
Exam Tip: First compare the thousands digit. If they are the same, look at the hundreds, then tens, and then ones.
Question 15. Encircle the smallest number
1. 7502, 7052, 7250, 7520, 7025
2. 8731, 3645, 4832, 3265, 1985
3. 3001, 3100, 3101, 3111, 3003
Answer:
1. 7025
2. 1985
3. 3001
In simple words: Look at the numbers to find the one with the least value.
Exam Tip: Look at the left-most digit first to quickly find the smallest number.
Question 16. Arrange in ascending order
1. 1952, 1529, 1925, 1592
2. 6803, 6308, 6830, 6008
3. 4125, 4521, 4152, 4512
4. 7309, 7903, 7930, 9730
5. 5015, 5510, 5550, 5115
Answer:
1. 1529, 1592, 1925, 1952
2. 6008, 6308, 6803, 6830
3. 4125, 4152, 4512, 4521
4. 7309, 7903, 7930, 9730
5. 5015, 5115, 5510, 5550
In simple words: Ascending order means arranging numbers from the smallest to the largest value.
Exam Tip: Label each number with its relative size (1, 2, 3...) before writing the final ordered list.
Question 17. Arrange in descending order
1. 2861, 2802, 2820, 2028
2. 8092, 9082, 9092, 8082
3. 9887, 7789, 7897, 9888
4. 6125, 6521, 6152, 6512
Answer:
1. 2861, 2820, 2802, 2028
2. 9092, 9082, 8092, 8082
3. 9888, 9887, 7897, 7789
4. 6521, 6512, 6152, 6125
In simple words: Descending order means arranging numbers from the largest value to the smallest value.
Exam Tip: Find the largest number first, write it down, and then find the next largest from the remaining numbers.
Question 18. Write the greatest and smallest 4 digit number by using the given digits.
| Digits | Greatest number | Smallest number |
|---|---|---|
| 1. 7, 1, 6, 5 | ||
| 2. 5, 3, 0, 9 | ||
| 3. 6, 0, 1, 5 | ||
| 4. 9, 3, 8, 4 | ||
| 5. 5, 6, 0, 7 | ||
| 6. 4, 5, 7, 3 | ||
| 7. 6, 8, 0, 4 |
Answer:
| Digits | Greatest number | Smallest number |
|---|---|---|
| 1. 7, 1, 6, 5 | 7651 | 1567 |
| 2. 5, 3, 0, 9 | 9530 | 3059 |
| 3. 6, 0, 1, 5 | 6510 | 1056 |
| 4. 9, 3, 8, 4 | 9843 | 3489 |
| 5. 5, 6, 0, 7 | 7650 | 5067 |
| 6. 4, 5, 7, 3 | 7543 | 3457 |
| 7. 6, 8, 0, 4 | 8640 | 4068 |
In simple words: Arrange the given digits from largest to smallest for the greatest number, and from smallest to largest for the smallest number.
Exam Tip: When writing the smallest number, never start with zero. Put the smallest non-zero digit first, then put the zero.
Ln. 3 : Addition and Subtraction
Question 19. Fill in the blanks :
1. The numbers which are added are called _______________.
2. The answer of addition is called ______________.
3. Zero added to any number is equal to the ______________.
4. The answer of subtraction is called ______________.
5. Any number - Zero = ______________.
6. Any number - The same number = ______________.
7. 3165 + 0 = ______________.
8. 968 - 0 = ______________.
9. 5818 - 5818 = ______________.
10. 30 + 60 = 60 + ______________.
11. 45 + ( 80 + 90) = 90 + 80 + ______________.
12. 20 + 40 = 60. The addends are ____________ and ____________.
13. 75 + 25 = 100. The sum is ______________.
14. 65 - 25 = 40. Here the difference is ______________.
Answer:
1. addends
2. sum
3. the number itself
4. difference
5. the number itself
6. zero
7. 3165
8. 968
9. 0
10. 30
11. 45
12. 20 and 40
13. 100
14. 40
In simple words: This helps us learn the basic words and rules we use when adding and subtracting numbers.
Exam Tip: Remember that adding zero keeps a number the same, and subtracting a number from itself always leaves zero.
Question 20. Add:
| 1) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 7 & 5 \\ + & 4 & 8 & 6 & 3 \\ \hline \end{array} \) | 2) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 8 & 1 & 8 \\ + & 2 & 7 & 9 & 5 \\ \hline \end{array} \) | 3) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 6 & 4 & 9 & 0 \\ + & 2 & 8 & 3 & 9 \\ \hline \end{array} \) |
| 4) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 8 & 5 \\ & 2 & 1 & 3 & 6 \\ + & 1 & 1 & 2 & 3 \\ \hline \end{array} \) | 5) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 4 & 0 & 1 & 1 \\ & 3 & 1 & 2 & 5 \\ + & 1 & 2 & 6 & 3 \\ \hline \end{array} \) | 6) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 8 & 2 & 1 \\ & 2 & 0 & 0 & 4 \\ + & 3 & 6 & 9 & 5 \\ \hline \end{array} \) |
| 7) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 9 & 9 & 9 \\ + & 5 & 6 & 7 & 6 \\ \hline \end{array} \) | 8) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 3 & 1 & 5 \\ + & 6 & 3 & 2 & 6 \\ \hline \end{array} \) | 9) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 2 & 3 \\ & 1 & 2 & 3 & 4 \\ + & 4 & 3 & 2 & 1 \\ \hline \end{array} \) |
Answer:
| 1) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 7 & 5 \\ + & 4 & 8 & 6 & 3 \\ \hline & 8 & 0 & 3 & 8 \end{array} \) | 2) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 8 & 1 & 8 \\ + & 2 & 7 & 9 & 5 \\ \hline & 8 & 6 & 1 & 3 \end{array} \) | 3) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 6 & 4 & 9 & 0 \\ + & 2 & 8 & 3 & 9 \\ \hline & 9 & 3 & 2 & 9 \end{array} \) |
| 4) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 8 & 5 \\ & 2 & 1 & 3 & 6 \\ + & 1 & 1 & 2 & 3 \\ \hline & 6 & 4 & 4 & 4 \end{array} \) | 5) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 4 & 0 & 1 & 1 \\ & 3 & 1 & 2 & 5 \\ + & 1 & 2 & 6 & 3 \\ \hline & 8 & 4 & 0 & 0 \end{array} \) | 6) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 8 & 2 & 1 \\ & 2 & 0 & 0 & 4 \\ + & 3 & 6 & 9 & 5 \\ \hline & 9 & 5 & 2 & 0 \end{array} \) |
| 7) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 9 & 9 & 9 \\ + & 5 & 6 & 7 & 6 \\ \hline & 9 & 6 & 7 & 5 \end{array} \) | 8) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 3 & 1 & 5 \\ + & 6 & 3 & 2 & 6 \\ \hline & 11 & 6 & 4 & 1 \end{array} \) | 9) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 1 & 2 & 3 \\ & 1 & 2 & 3 & 4 \\ + & 4 & 3 & 2 & 1 \\ \hline & 8 & 6 & 7 & 8 \end{array} \) |
In simple words: To add numbers, write them down in straight columns. Start adding from the ones column on the right side, then move left to tens, hundreds, and thousands.
Exam Tip: Keep your numbers lined up in neat columns. Always double-check your carrying when a column adds up to 10 or more.
Question 21. Subtract
| 1) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 9 & 1 & 2 \\ - & 2 & 5 & 1 & 1 \\ \hline \end{array} \) | 2) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 6 & 8 & 5 & 8 \\ - & 3 & 0 & 5 & 2 \\ \hline \end{array} \) | 3) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text;{O} \\ & 7 & 3 & 1 & 9 \\ - & 5 & 2 & 1 & 9 \\ \hline \end{array} \) |
| 4) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 4 & 0 & 2 \\ - & 3 & 1 & 4 & 8 \\ \hline \end{array} \) | 5) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text;{O} \\ & 3 & 6 & 4 & 5 \\ - & 1 & 8 & 9 & 2 \\ \hline \end{array} \) | 6) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 4 & 5 & 6 \\ - & 1 & 9 & 0 & 9 \\ \hline \end{array} \) |
| 7) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 7 & 3 & 1 & 4 \\ - & 2 & 4 & 5 & 1 \\ \hline \end{array} \) | 8) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 9 & 3 & 0 & 1 \\ - & 4 & 6 & 0 & 3 \\ \hline \end{array} \) | 9) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text;{O} \\ & 6 & 2 & 8 & 5 \\ - & 3 & 1 & 7 & 9 \\ \hline \end{array} \) |
Answer:
| 1) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 9 & 1 & 2 \\ - & 2 & 5 & 1 & 1 \\ \hline & 1 & 4 & 0 & 1 \end{array} \) | 2) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 6 & 8 & 5 & 8 \\ - & 3 & 0 & 5 & 2 \\ \hline & 3 & 8 & 0 & 6 \end{array} \) | 3) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 7 & 3 & 1 & 9 \\ - & 5 & 2 & 1 & 9 \\ \hline & 2 & 1 & 0 & 0 \end{array} \) |
| 4) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 5 & 4 & 0 & 2 \\ - & 3 & 1 & 4 & 8 \\ \hline & 2 & 2 & 5 & 4 \end{array} \) | 5) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 6 & 4 & 5 \\ - & 1 & 8 & 9 & 2 \\ \hline & 1 & 7 & 5 & 3 \end{array} \) | 6) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 3 & 4 & 5 & 6 \\ - & 1 & 9 & 0 & 9 \\ \hline & 1 & 5 & 4 & 7 \end{array} \) |
| 7) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 7 & 3 & 1 & 4 \\ - & 2 & 4 & 5 & 1 \\ \hline & 4 & 8 & 6 & 3 \end{end{array} \) | 8) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 9 & 3 & 0 & 1 \\ - & 4 & 6 & 0 & 3 \\ \hline & 4 & 6 & 9 & 8 \end{array} \) | 9) \( \begin{array}{rcccc} & \text{Th} & \text{H} & \text{T} & \text{O} \\ & 6 & 2 & 8 & 5 \\ - & 3 & 1 & 7 & 9 \\ \hline & 3 & 1 & 0 & 6 \end{array} \) |
In simple words: To subtract, start on the right and take the bottom number away from the top number. If the top number is too small, you must borrow 1 from the next number to its left.
Exam Tip: When you borrow in subtraction, remember to reduce the number you borrowed from by 1. Keep your columns tidy so you do not get confused.
Question 22. Do the following
1. In a school there are 5390 boys and 3175 girls. How many students are there in all ?
2. In a garden there are 4120 red rose saplings and 2342 white rose saplings. How many saplings are there in all ?
3. In a school library there 2125 English books, 3280 Science books and 1230 Hindi. How many books are there in all.
4. The population of a village is 5390. Out of them 3125 are males. Find the population of females.
5. In three different sectors of a city the number of people living are 3180, 2496 and 3112 respectively. What is the total number of people living in these sector ?
6. Find the difference between the greatest 4 digit number and the least 4 digit number.
7. In a school there are 5985 students. On a rainy day 1009 students were absent. How many were present on that day ?
8. The sum of two numbers is 7854. If one of the numbers is 2435, find the other.
Answer:
1. Boys = 5390, Girls = 3175
Total students = 5390 + 3175 = 8565
There are 8565 students in all.
2. Red rose saplings = 4120, White rose saplings = 2342
Total saplings = 4120 + 2342 = 6462
There are 6462 saplings in all.
3. English books = 2125, Science books = 3280, Hindi books = 1230
Total books = 2125 + 3280 + 1230 = 6635
There are 6635 books in all.
4. Total population = 5390, Males = 3125
Females = 5390 - 3125 = 2265
The population of females is 2265.
5. Sector 1 = 3180, Sector 2 = 2496, Sector 3 = 3112
Total people = 3180 + 2496 + 3112 = 8788
The total number of people is 8788.
6. Greatest 4 digit number = 9999, Least 4 digit number = 1000
Difference = 9999 - 1000 = 8999
The difference is 8999.
7. Total students = 5985, Absent students = 1009
Present students = 5985 - 1009 = 4976
There were 4976 students present.
8. Sum of two numbers = 7854, One number = 2435
Other number = 7854 - 2435 = 5419
The other number is 5419.
In simple words: Read the story carefully to decide whether you need to add or subtract to find the answer.
Exam Tip: Write down a simple statement of what is given before writing your calculations.
Geometry
Question 23. Fill in the blanks
1. _______________ shows position.
2. A point is represented by a _______________.
3. _______________ is the shortest distance between two points.
4. A line segment has _______________ end points.
5. A _______________ has a definite length.
6. A line segment extended endlessly in one direction is called a _______________.
7. A ray has _______________ end points.
8. A line has _______________ end points.
9. A line segment extended endlessly in both directions is called a _____________.
10. A triangle is bounded by _______________ line segments.
11. A triangle has _______________ sides and _______________ vertices.
12. A square has _______________ sides and _______________ vertices.
13. All sides of a square are _______________.
14. A rectangle has _______________ sides and _______________ vertices.
15. The _______________ sides of a rectangle are equal.
16. A circle has _______________ sides.
17. A cube has ________ faces, __________ vertices and _________ edges.
18. A sugar cube has _______________ faces.
19. A cuboid has ________faces, _______ vertices and _________edges.
20. A cone has ________edges ________vertex and __________faces.
21. A cylinder has __________faces and _______________ edges.
22. A sphere has _____________ face and ____________vertex.
23. All faces of a cube are _____________.
24. Pepse can has _____________shape.
Answer:
1. A point
2. dot
3. A line segment
4. two
5. line segment
6. ray
7. one
8. no
9. line
10. three
11. three, three
12. four, four
13. equal
14. four, four
15. opposite
16. no (or zero)
17. 6, 8, 12
18. 6
19. 6, 8, 12
20. 1, 1, 2
21. 3, 2
22. 1, no (or zero)
23. square
24. cylindrical
In simple words: This teaches us about basic geometric shapes, points, lines, and solid objects like cubes.
Exam Tip: Learn the number of faces, edges, and vertices for common solid shapes like cubes, cones, and cylinders.
Question 24. Draw
1. A line Segment AB = 8 cm
2. A line Segment PQ = 7 cm
3. A line Segment LM = 9 cm
4. Draw a line segment XY = 6 cm
Answer:
1. Line Segment AB = 8 cm:
2. Line Segment PQ = 7 cm:
3. Line Segment LM = 9 cm:
4. Line Segment XY = 6 cm:
In simple words: Use a ruler to draw a straight line of the exact length asked in the question.
Exam Tip: Start drawing from the 0 mark on your ruler, not the very edge, and stop exactly at the target number.
Question 25. Answer the following:
1) Write 3 properties of a triangle
2) Write 3 properties of a square
3) Write 3 properties of a rectangle
4) Write 2 properties of a circle
Answer:
1) Properties of a triangle:
• It has three straight sides.
• It has three corners (vertices).
• It is a closed flat shape.
2) Properties of a square:
• It has four straight sides.
• All four of its sides are equal in length.
• It has four corners (vertices).
3) Properties of a rectangle:
• It has four straight sides.
• Its opposite sides are equal in length.
• It has four corners (vertices).
4) Properties of a circle:
• It has a round shape with no straight sides or corners.
• Every point on its boundary is at the same distance from its center.
In simple words: Write down what makes each flat shape unique, like the number of sides and corners it has.
Exam Tip: Clearly list the properties of each shape in simple, short bullet points to get full marks.
I. Fill in the blanks
Question I.1. The smallest 1 digit number is ___________.
Answer: 1
In simple words: The number 1 is the smallest one-digit number.
Exam Tip: Remember that standard counting numbers with one digit start from 1.
Question I.2. The largest 1 digit number is ___________.
Answer: 9
In simple words: The number 9 is the greatest one-digit number.
Exam Tip: After 9 comes 10, which has two digits.
Question I.3. The smallest two digit number is ___________.
Answer: 10
In simple words: The number 10 is the smallest two-digit number.
Exam Tip: It is the first number we write with tens and ones places.
Question I.4. The largest two digit number is ___________.
Answer: 99
In simple words: The number 99 is the greatest two-digit number.
Exam Tip: Any number after 99 has three digits.
Question I.5. The smallest three digit number is ___________.
Answer: 100
In simple words: The number 100 is the smallest three-digit number.
Exam Tip: It has a one in the hundreds place followed by two zeros.
Question I.6. The largest three digit number is ___________.
Answer: 999
In simple words: The number 999 is the greatest three-digit number.
Exam Tip: Adding one to this number gives you a four-digit number.
Question I.7. The smallest four digit number is ___________.
Answer: 1000
In simple words: The number 1000 is the smallest four-digit number.
Exam Tip: This number is also called one thousand.
Question I.8. The largest four digit number is ___________.
Answer: 9999
In simple words: The number 9999 is the greatest four-digit number.
Exam Tip: It is made of four nines in a row.
Question I.9. 1 Ten = ___________ ones.
Answer: 10
In simple words: One ten is equal to ten single ones.
Exam Tip: Think of ten separate blocks joining to make one rod.
Question I.10. 1 Hundred = ___________ Tens.
Answer: 10
In simple words: One hundred contains exactly ten tens.
Exam Tip: Keep in mind that ten times ten equals one hundred.
Question I.11. 10 Hundreds = ___________ Thousand
Answer: 1
In simple words: Ten hundreds make one thousand.
Exam Tip: Ten groups of one hundred equal one thousand.
Question I.12. The smallest 5 digit number is ___________.
Answer: 10000
In simple words: The number 10000 is the smallest five-digit number.
Exam Tip: This number is also called ten thousand.
Question I.13. A number written in figures is the ___________.
Answer: numeral
In simple words: A numeral is a number shown in digits.
Exam Tip: Figures mean standard math digits like 1, 2, or 3.
Question I.14. A number written in words is the ___________.
Answer: number name
In simple words: Writing a number as words gives us its number name.
Exam Tip: Learn the correct spellings of numbers like ninety and forty.
Question I.15. The successor of 999 is ___________.
Answer: 1000
In simple words: The successor of 999 is 1000.
Exam Tip: To find a successor, add 1 to the given number.
Question I.16. The predecessor of 7390 is ___________.
Answer: 7389
In simple words: The predecessor of 7390 is 7389.
Exam Tip: Subtract 1 from the number to find its predecessor.
Question I.17. The place value of 5 in 6538 is ___________.
Answer: 500
In simple words: The 5 is in the hundreds place, so its value is 500.
Exam Tip: Place value depends on the position of the digit in the number.
Question I.18. The place value of zero is ___________.
Answer: 0
In simple words: Zero is always worth zero in any place value position.
Exam Tip: Zero has the exact same place value and face value.
Question I.19. The face value of 7 in 6378 is ___________.
Answer: 7
In simple words: The face value of 7 is simply 7.
Exam Tip: Face value of a digit is always the digit itself, regardless of its place.
Question I.20. The number just before 2000 is ___________.
Answer: 1999
In simple words: If you take away 1 from 2000, you get 1999.
Exam Tip: This is also called finding the predecessor of 2000.
Question I.21. A number that comes just after a given number is called its ______________.
Answer: successor
In simple words: The next number is called its successor.
Exam Tip: Successor means the number that comes after.
Question I.22. The successor of a number is ___________ greater than the number.
Answer: 1
In simple words: The next number is always 1 bigger than the starting number.
Exam Tip: To find any successor, just count up by 1.
Question I.23. A number that comes just before a given number is called its _____________.
Answer: predecessor
In simple words: The previous number is called its predecessor.
Exam Tip: Predecessor means the number just before.
Question I.24. The predecessor of a number is ___________ less than the number.
Answer: 1
In simple words: The previous number is always 1 smaller.
Exam Tip: To find any predecessor, just count back by 1.
Question I.25. The successor of 3999 is ___________.
Answer: 4000
In simple words: The number that comes right after 3999 is 4000.
Exam Tip: Adding 1 to 3999 changes all digits as they roll over to 4000.
II. Write the number name
Question II.1. 9567
Answer: Nine thousand five hundred sixty-seven
In simple words: We write 9567 as nine thousand five hundred sixty-seven.
Exam Tip: Read each place value from left to right when writing the name.
Question II.2. 3078
Answer: Three thousand seventy-eight
In simple words: We write 3078 as three thousand seventy-eight.
Exam Tip: Since the hundreds place has 0, do not write any hundreds term.
Question II.3. 7300
Answer: Seven thousand three hundred
In simple words: We write 7300 as seven thousand three hundred.
Exam Tip: If tens and ones are zero, end your name at the hundreds place.
Question II.4. 6999
Answer: Six thousand nine hundred ninety-nine
In simple words: We write 6999 as six thousand nine hundred ninety-nine.
Exam Tip: Keep in mind the spelling of 'ninety'. Do not write 'ninty'.
Question II.5. 7931
Answer: Seven thousand nine hundred thirty-one
In simple words: We write 7931 as seven thousand nine hundred thirty-one.
Exam Tip: Use a hyphen between the tens and ones words like thirty-one.
III. Write the consecutive numerals
Question III.1. 5098 _________ , _________ , _________ , ________ , ________ .
Answer: 5099, 5100, 5101, 5102, 5103
In simple words: Count forward by adding 1 starting from 5098.
Exam Tip: 5099 increases to 5100 when counting.
Question III.2. 9900 _________ , _________ , _________ , _________ , _________ .
Answer: 9901, 9902, 9903, 9904, 9905
In simple words: Just count up by ones starting from 9900.
Exam Tip: Write the numbers in sequence by changing only the ones place.
Question III.3. 7162 _________ , _________ , _________ , _________ , _________ .
Answer: 7163, 7164, 7165, 7166, 7167
In simple words: Add 1 to get each next number.
Exam Tip: Keep the thousand and hundred values the same and increase the end digits.
Question III.4. 7999 _________ , _________ , _________ , _________ , _________ .
Answer: 8000, 8001, 8002, 8003, 8004
In simple words: Count up by ones. 7999 goes to 8000.
Exam Tip: 7999 increases to 8000 as the thousands place changes.
Question III.5. 4079 _________ , _________ , _________ , _________ , _________ .
Answer: 4080, 4081, 4082, 4083, 4084
In simple words: Count up by one from 4079.
Exam Tip: After 79 comes 80, so 4079 becomes 4080.
Question III.6. 5899 _________ , _________ , _________ , _________ , _________ .
Answer: 5900, 5901, 5902, 5903, 5904
In simple words: Add 1 starting from 5899.
Exam Tip: After 899 comes 900, so 5899 turns into 5900.
IV. Write the consecutive numerals backwards
Question IV.1. 6892 _________ , _________ , _________ , _________ , _________ .
Answer: 6891, 6890, 6889, 6888, 6887
In simple words: Count backwards by subtracting 1 each time.
Exam Tip: When counting back from 6890, the next number is 6889.
Question IV.2. 7520 _________ , _________ , _________ , _________ , _________ .
Answer: 7519, 7518, 7517, 7516, 7515
In simple words: Subtract 1 successively starting from 7520.
Exam Tip: Going back from 20 takes you to 19.
Question IV.3. 6700 _________ , _________ , _________ , _________ , _________ .
Answer: 6699, 6698, 6697, 6696, 6695
In simple words: Count down by 1s from 6700.
Exam Tip: 6700 drops to 6699 when you count backwards.
Question IV.4. 9670 _________ , _________ , _________ , _________ , _________ .
Answer: 9669, 9668, 9667, 9666, 9665
In simple words: Count back by subtracting 1.
Exam Tip: 70 drops to 69 when you go backward.
Question IV.5. 8000 _________ , _________ , _________ , _________ , _________ .
Answer: 7999, 7998, 7997, 7996, 7995
In simple words: Count backwards from 8000.
Exam Tip: Subtract 1 from 8000 to get 7999.
Question IV.6. 5100 _________ , _________ , _________ , _________ , _________ .
Answer: 5099, 5098, 5097, 5096, 5095
In simple words: Count down by 1s starting from 5100.
Exam Tip: Going back from 100 goes to 99, so 5100 becomes 5099.
V. Write the numerals
Question V.1. Six thousand seven hundred ninety five
Answer: 6795
In simple words: We write six thousand seven hundred ninety-five as 6795.
Exam Tip: Place each digit in its correct column: Thousands (6), Hundreds (7), Tens (9), Ones (5).
Question V.2. Eight thousand five
Answer: 8005
In simple words: We write eight thousand five as 8005.
Exam Tip: Use zero as a placeholder when hundreds and tens are missing.
Question V.3. Four thousand five
Answer: 4005
In simple words: We write four thousand five as 4005.
Exam Tip: Keep zeros in the hundreds and tens places to hold their value.
Question V.4. Three thousand four hundred sixty eight
Answer: 3468
In simple words: We write three thousand four hundred sixty-eight as 3468.
Exam Tip: Place 3, 4, 6, and 8 in their respective place value columns.
Question V.5. Two thousand two hundred
Answer: 2200
In simple words: We write two thousand two hundred as 2200.
Exam Tip: Use zeros to fill the empty tens and ones places.
Question V.6. Seven thousand sixty five
Answer: 7065
In simple words: We write seven thousand sixty-five as 7065.
Exam Tip: Put 0 in the hundreds place since no hundreds are mentioned.
VI. Write the successor and predecessor of the following
Question VI.1. 5950
Answer: Successor = 5951, Predecessor = 5949
In simple words: Add 1 to get 5951, and subtract 1 to get 5949.
Exam Tip: Check both the values carefully by adding and subtracting 1.
Question VI.2. 3999
Answer: Successor = 4000, Predecessor = 3998
In simple words: Successor is 4000 and predecessor is 3998.
Exam Tip: Pay attention to rollovers when adding 1 to numbers ending in 9.
Question VI.3. 9907
Answer: Successor = 9908, Predecessor = 9906
In simple words: Successor is 9908 and predecessor is 9906.
Exam Tip: Only the ones place digit changes for these numbers.
Question VI.4. 7001
Answer: Successor = 7002, Predecessor = 7000
In simple words: Successor is 7002 and predecessor is 7000.
Exam Tip: The predecessor of 7001 is exactly 7000.
Question VI.5. 8900
Answer: Successor = 8901, Predecessor = 8899
In simple words: Successor is 8901 and predecessor is 8899.
Exam Tip: Be careful when finding the predecessor of a number ending in zeros.
Question VI.6. 4385
Answer: Successor = 4386, Predecessor = 4384
In simple words: Successor is 4386 and predecessor is 4384.
Exam Tip: Add 1 and subtract 1 from the ones column.
Question VI.7. 3000
Answer: Successor = 3001, Predecessor = 2999
In simple words: Successor is 3001 and predecessor is 2999.
Exam Tip: When subtracting from 3000, you need to borrow from the thousands place.
Question VI.8. 6209
Answer: Successor = 6210, Predecessor = 6208
In simple words: Successor is 6210 and predecessor is 6208.
Exam Tip: After 09 comes 10, so 6209 becomes 6210.
VII. Write the next five numbers according to the pattern given
Question VII.1. 4017, 4027, 4037 ___________________________________________________
Answer: 4047, 4057, 4067, 4077, 4087
In simple words: Increase the tens digit by 1 each time. This is skip-counting by 10.
Exam Tip: Identify the rule of the pattern first by finding the difference between numbers.
Question VII.2. 1121, 2121, 3121 ___________________________________________________
Answer: 4121, 5121, 6121, 7121, 8121
In simple words: Increase the thousands digit by 1 each time. This is skip-counting by 1000.
Exam Tip: Only the thousands place changes, while the rest stays 121.
Question VII.3. 2305, 2310, 2315 __________________________________________________
Answer: 2320, 2325, 2330, 2335, 2340
In simple words: Skip-count forward by 5s.
Exam Tip: Keep the hundreds and thousands places the same, and count by 5s for the last two digits.
Question VII.4. 6045, 6050, 6055 _________________________________________________
Answer: 6060, 6065, 6070, 6075, 6080
In simple words: Add 5 to each number to find the next one.
Exam Tip: Check that your ones digits alternate between 0 and 5.
Question VII.5. 5125, 5225, 5325 _________________________________________________
Answer: 5425, 5525, 5625, 5725, 5825
In simple words: Increase the hundreds place by 1 each time. This is skip-counting by 100.
Exam Tip: Change only the hundreds digit, keeping 25 at the end.
Question VII.6. 4022, 4024, 4026 _________________________________________________
Answer: 4028, 4030, 4032, 4034, 4036
In simple words: Skip-count forward by 2s.
Exam Tip: After 28 comes 30, so the tens digit will change after the first step.
VIII. Write the place value and face value of the underlined digits.
Question VIII.1. 3985
Answer: Face value = 8, Place value = 80
In simple words: The face value is 8, and the place value is 80.
Exam Tip: The underlined digit is in the tens column, so multiply its face value by 10.
Question VIII.2. 6128
Answer: Face value = 6, Place value = 6000
In simple words: The face value is 6, and the place value is 6000.
Exam Tip: Thousands digit place value has three zeros after the number.
Question VIII.3. 7129
Answer: Face value = 9, Place value = 9
In simple words: The digit in the ones place has the same face value and place value.
Exam Tip: For ones place digits, both the values are always equal.
Question VIII.4. 5046
Answer: Face value = 0, Place value = 0
In simple words: The face value of 0 is 0, and its place value is also 0.
Exam Tip: Zero anywhere in a number always has a place value of 0.
Question VIII.5. 9625
Answer: Face value = 6, Place value = 600
In simple words: The face value is 6, and the place value is 600.
Exam Tip: The hundreds column means you write the digit followed by two zeros.
Question VIII.6. 1128
Answer: Face value = 1, Place value = 100
In simple words: The face value is 1, and the place value is 100.
Exam Tip: Identify which '1' is underlined - here it is the hundreds place.
Question VIII.7. 6075
Answer: Face value = 6, Place value = 6000
In simple words: The face value is 6, and the place value is 6000.
Exam Tip: Check carefully how many digits follow the underlined digit to count the zeros.
Question VIII.8. 4210
Answer: Face value = 1, Place value = 10
In simple words: The face value is 1, and the place value is 10.
Exam Tip: Underlined digit 1 is in the tens place, which gives it a value of 10.
IX. Fill in the blanks
Question IX.1. 5185 = _____ thousands _____ hundreds _____ tens ______ ones
Answer: 5 thousands 1 hundreds 8 tens 5 ones
In simple words: 5185 is made of 5 thousands, 1 hundred, 8 tens, and 5 ones.
Exam Tip: Place each digit in order into its place value blank from left to right.
Question IX.2. 3029 = _____ thousands _____ hundreds _____ tens ______ ones
Answer: 3 thousands 0 hundreds 2 tens 9 ones
In simple words: 3029 has 3 thousands, 0 hundreds, 2 tens, and 9 ones.
Exam Tip: Write zero for the hundreds place to keep the representation correct.
Question IX.3. 9999 = _____ thousands _____ hundreds _____ tens ______ ones
Answer: 9 thousands 9 hundreds 9 tens 9 ones
In simple words: 9999 has 9 thousands, 9 hundreds, 9 tens, and 9 ones.
Exam Tip: Put a 9 in every place value blank.
Question IX.4. 7650 = _____ thousands _____ hundreds _____ tens ______ ones
Answer: 7 thousands 6 hundreds 5 tens 0 ones
In simple words: 7650 is 7 thousands, 6 hundreds, 5 tens, and 0 ones.
Exam Tip: Be sure to write 0 for the ones column.
X. Write the expanded form
Question X.1. 5629
Answer: 5000 + 600 + 20 + 9
In simple words: The expanded form of 5629 is 5000 + 600 + 20 + 9.
Exam Tip: Write the place value of each digit separated by a plus sign.
Question X.2. 7120
Answer: 7000 + 100 + 20 + 0
In simple words: The expanded form is 7000 + 100 + 20 + 0.
Exam Tip: You can write the final zero or leave it out, but writing it is safer.
Question X.3. 5008
Answer: 5000 + 0 + 0 + 8
In simple words: The expanded form is 5000 + 0 + 0 + 8.
Exam Tip: Put zeros for any empty columns to keep track of place values.
Question X.4. 6125
Answer: 6000 + 100 + 20 + 5
In simple words: The expanded form is 6000 + 100 + 20 + 5.
Exam Tip: Make sure to count the correct number of zeros for each term.
Question X.5. 3467
Answer: 3000 + 400 + 60 + 7
In simple words: The expanded form is 3000 + 400 + 60 + 7.
Exam Tip: Check that the terms add up to the original number.
Question X.6. 4813
Answer: 4000 + 800 + 10 + 3
In simple words: The expanded form is 4000 + 800 + 10 + 3.
Exam Tip: Read the numbers carefully to put the right values.
Question X.7. 6859
Answer: 6000 + 800 + 50 + 9
In simple words: The expanded form is 6000 + 800 + 50 + 9.
Exam Tip: Verify each digit's value before writing the sum.
Question X.8. 5010
Answer: 5000 + 0 + 10 + 0
In simple words: The expanded form is 5000 + 0 + 10 + 0.
Exam Tip: Do not confuse the tens place digit 1 with the ones place.
XI. Write in the Short form
Question XI.1. 8 thousands + 5 hundreds + 6 tens + 5 ones =
Answer: 8565
In simple words: Combining these place values gives the number 8565.
Exam Tip: Write the digits in order: thousands, hundreds, tens, ones.
Question XI.2. 9 thousands + 0 hundreds + 4 tens + 3 ones =
Answer: 9043
In simple words: Combining these gives 9043.
Exam Tip: Keep the zero in the hundreds column so the number remains correct.
Question XI.3. 5 thousands + 7 hundreds + 0 tens + 4 ones =
Answer: 5704
In simple words: Combining these gives 5704.
Exam Tip: Be sure to put 0 in the tens place.
XII. Show on abacus
Question XII.1. 3015
Answer:
In simple words: Draw 3 beads on the thousands spike, none on hundreds, 1 on tens, and 5 on ones.
Exam Tip: Leave the hundreds spike completely empty because the hundreds place is zero.
Question XII.2. 5423
Answer:
In simple words: Draw 5 beads on thousands, 4 on hundreds, 2 on tens, and 3 on ones.
Exam Tip: Draw the beads clearly on each spike in straight columns.
Question XII.3. 2006
Answer:
In simple words: Draw 2 beads on thousands, none on hundreds or tens, and 6 on ones.
Exam Tip: Leave both the hundreds and tens spikes empty when there are zeros in those columns.
Question XII.4. 1824
Answer:
In simple words: Draw 1 bead on thousands, 8 on hundreds, 2 on tens, and 4 on ones.
Exam Tip: Space the 8 beads carefully so they all fit on the hundreds spike.
XIII. Fill in the blanks using < or >
Question XIII.1. 1359 [ ] 650
Answer: >
In simple words: 1359 is greater than 650, so we use the > sign.
Exam Tip: The open mouth of the sign always points to the larger number.
Question XIII.2. 2643 [ ] 5818
Answer: <
In simple words: 2643 is less than 5818, so we use the < sign.
Exam Tip: Compare the thousands digit first (2 is less than 5).
Question XIII.3. 4006 [ ] 6009
Answer: <
In simple words: 4006 is less than 6009, so we use the < sign.
Exam Tip: Compare the first digit on the left (4 is less than 6).
Question XIII.4. 3148 [ ] 3146
Answer: >
In simple words: 3148 is greater than 3146, so we use the > sign.
Exam Tip: If the first three digits are the same, compare the ones place (8 is greater than 6).
Question XIII.5. 7326 [ ] 7456
Answer: <
In simple words: 7326 is less than 7456, so we use the < sign.
Exam Tip: Compare the hundreds digit since the thousands digit is the same (3 is less than 4).
Question XIII.6. 8436 [ ] 8435
Answer: >
In simple words: 8436 is greater than 8435, so we use the > sign.
Exam Tip: Only the ones place differs here, where 6 is larger than 5.
XIV. Encircle the largest number
Question XIV.1. 8767, 7676, 6767, 8787, 7867
Answer: 8787
In simple words: The largest number in this group is 8787.
Exam Tip: Look at the highest place value column (thousands) to find the largest values first.
Question XIV.2. 4008, 4800, 4080, 4088, 4808
Answer: 4808
In simple words: The greatest number in this list is 4808.
Exam Tip: Since all numbers start with 4, compare the hundreds digits next.
Question XIV.3. 1357, 1753, 1573, 1735, 1537
Answer: 1753
In simple words: The biggest number here is 1753.
Exam Tip: Compare both 1753 and 1735; 5 in the tens column is larger than 3.
XV. Encircle the smallest number
Question XV.1. 7502, 7052, 7250, 7520, 7025
Answer: 7025
In simple words: The smallest number in this set is 7025.
Exam Tip: Compare the tens digits of 7052 and 7025 to find the smaller one.
Question XV.2. 8731, 3645, 4832, 3265, 1985
Answer: 1985
In simple words: The lowest number in this group is 1985.
Exam Tip: Check the thousands place digits first to quickly find the smallest.
Question XV.3. 3001, 3100, 3101, 3111, 3003
Answer: 3001
In simple words: The smallest number in this group is 3001.
Exam Tip: Compare the ones place of 3001 and 3003 since they have the lowest thousands and hundreds.
XVI. Arrange in ascending order
Question XVI.1. 1952, 1529, 1925, 1592
Answer: 1529, 1592, 1925, 1952
In simple words: Arranging from smallest to largest gives: 1529, 1592, 1925, 1952.
Exam Tip: Group them by thousands and hundreds first before ordering.
Question XVI.2. 6803, 6308, 6830, 6008
Answer: 6008, 6308, 6803, 6830
In simple words: Order from lowest to highest: 6008, 6308, 6803, 6830.
Exam Tip: Check the hundreds column to find the smallest number first.
Question XVI.3. 4125, 4521, 4152, 4512
Answer: 4125, 4152, 4512, 4521
In simple words: The ascending order is 4125, 4152, 4512, 4521.
Exam Tip: Carefully compare 4512 and 4521 by looking at their tens digit.
Question XVI.4. 7309, 7903, 7930, 9730
Answer: 7309, 7903, 7930, 9730
In simple words: The sorted order is 7309, 7903, 7930, 9730.
Exam Tip: The number 9730 is the largest since it starts with 9.
Question XVI.5. 5015, 5510, 5550, 5115
Answer: 5015, 5115, 5510, 5550
In simple words: Arranged from smallest to largest: 5015, 5115, 5510, 5550.
Exam Tip: Look at the hundreds digit (0, 1, 5) to sort most of these.
XVI. Arrange in descending order
Question XVII.1. 2861, 2802, 2820, 2028
Answer: 2861, 2820, 2802, 2028
In simple words: Arranged from largest to smallest: 2861, 2820, 2802, 2028.
Exam Tip: Begin with the biggest number and step down to the lowest.
Question XVII.2. 8092, 9082, 9092, 8082
Answer: 9092, 9082, 8092, 8082
In simple words: The descending order is 9092, 9082, 8092, 8082.
Exam Tip: Sort by comparing the thousands digits first (9s then 8s).
Question XVII.3. 9887, 7789, 7897, 9888
Answer: 9888, 9887, 7897, 7789
In simple words: Arranging from highest to lowest: 9888, 9887, 7897, 7789.
Exam Tip: 9888 is slightly bigger than 9887, so place it first.
Question XVII.4. 6125, 6521, 6152, 6512
Answer: 6521, 6512, 6152, 6125
In simple words: The sorted order is 6521, 6512, 6152, 6125.
Exam Tip: Separate into those starting with 6500 and 6100, then order each pair.
XVII. Write the greatest and smallest 4 digit number by using the given digits.
Question XVIII.1. Digits: 7, 1, 6, 5
Answer: Greatest number = 7651, Smallest number = 1567
In simple words: Write digits from biggest to smallest for the greatest number, and smallest to biggest for the smallest number.
Exam Tip: Arranging digits in descending order gives the greatest possible value.
Question XVIII.2. Digits: 5, 3, 0, 9
Answer: Greatest number = 9530, Smallest number = 3059
In simple words: Put the largest digits first for greatest. For smallest, put the smallest non-zero digit first, then zero.
Exam Tip: Never start a four-digit number with zero, or it will become a three-digit number.
Question XVIII.3. Digits: 6, 0, 1, 5
Answer: Greatest number = 6510, Smallest number = 1056
In simple words: Greatest is 6510. Smallest is 1056 by placing zero in the second position.
Exam Tip: Put zero in the hundreds place when forming the smallest number with a zero digit.
Question XVIII.4. Digits: 9, 3, 8, 4
Answer: Greatest number = 9843, Smallest number = 3489
In simple words: Greatest is 9843 and smallest is 3489.
Exam Tip: Sort digits in order to easily construct both numbers.
Question XVIII.5. Digits: 5, 6, 0, 7
Answer: Greatest number = 7650, Smallest number = 5067
In simple words: Greatest is 7650. Smallest is 5067 by placing 5 first and then 0.
Exam Tip: Check that your smallest number starts with the smallest non-zero digit.
Question XVIII.6. Digits: 4, 5, 7, 3
Answer: Greatest number = 7543, Smallest number = 3457
In simple words: Greatest is 7543 and smallest is 3457.
Exam Tip: Reverse the greatest number's digits to get the smallest number here.
Question XVIII.7. Digits: 6, 8, 0, 4
Answer: Greatest number = 8640, Smallest number = 4068
In simple words: Greatest is 8640. Smallest is 4068 by putting 4 first, then 0.
Exam Tip: Place zero in the second column to get the smallest four-digit number.
LN. 3 : ADDITION AND SUBTRACTION
I. Fill in the blanks :
Question XIX.1. The numbers which are added are called _______________.
Answer: addends
In simple words: The numbers we add together are called addends.
Exam Tip: Learn this key word for your math exams.
Question XIX.2. The answer of addition is called ______________.
Answer: sum
In simple words: The final answer of an addition problem is called the sum.
Exam Tip: The word 'sum' always means the total after adding.
Question XIX.3. Zero added to any number is equal to the ______________.
Answer: number itself
In simple words: Adding zero to any number does not change it.
Exam Tip: This is called the additive identity property of zero.
Question XIX.4. The answer of subtraction is called ______________.
Answer: difference
In simple words: The result we get after subtracting is called the difference.
Exam Tip: 'Difference' is the math word for the answer to subtraction.
Question XIX.5. Any number - Zero = ______________.
Answer: the number itself
In simple words: Subtracting zero from any number leaves the number unchanged.
Exam Tip: Taking away nothing keeps the starting value same.
Question XIX.6. Any number - The same number = ______________.
Answer: Zero
In simple words: If you subtract a number from itself, you get zero.
Exam Tip: Taking away a number completely leaves nothing left.
Question XIX.7. 3165 + 0 = ______________.
">Answer: 3165
In simple words: Adding zero to 3165 gives 3165.
Exam Tip: Zero does not add any value to the number.
Question XIX.8. 968 - 0 = ______________.
Answer: 968
In simple words: Subtracting zero from 968 leaves 968.
Exam Tip: Subtracting zero leaves the number exactly as it was.
Question XIX.9. 5818 - 5818 = ______________.
Answer: 0
In simple words: 5818 minus 5818 equals 0.
Exam Tip: Any number subtracted from itself always equals zero.
Question XIX.10. 30 + 60 = 60 + ______________.
Answer: 30
In simple words: 30 + 60 is the same as 60 + 30.
Exam Tip: Changing the order of numbers does not change the addition answer.
Question XIX.11. 45 + ( 80 + 90) = 90 + 80 + ______________.
Answer: 45
In simple words: Adding 45, 80, and 90 together in any order gives the same result.
Exam Tip: This is called the associative property of addition.
Question XIX.12. 20 + 40 = 60. The addends are ____________ and ____________.
Answer: 20 and 40
In simple words: The numbers we added are 20 and 40.
Exam Tip: Remember that addends are the numbers we combine in addition.
Question XIX.13. 75 + 25 = 100. The sum is ______________.
Answer: 100
In simple words: The answer we get is 100.
Exam Tip: Sum refers to the final combined total.
Question XIX.14. 65 - 25 = 40. Here the difference is ______________.
Answer: 40
In simple words: The difference between the numbers is 40.
Exam Tip: Difference is the outcome of subtraction.
Add:
Question XX.1. Add the following: 3175 + 4863
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 1 | 7 | 5 |
| + 4 | 8 | 6 | 3 |
| 8 | 0 | 3 | 8 |
In simple words: Add the columns from right to left: 5+3=8, 7+6=13 (carry 1), 1+8+1=10 (carry 1), 3+4+1=8.
Exam Tip: Do not forget to add your carry-over digits to the next column.
Question XX.2. Add the following: 5818 + 2795
Answer:
| Th | H | T | O |
|---|---|---|---|
| 5 | 8 | 1 | 8 |
| + 2 | 7 | 9 | 5 |
| 8 | 6 | 1 | 3 |
In simple words: Add columns starting from ones: 8+5=13 (carry 1), 1+9+1=11 (carry 1), 8+7+1=16 (carry 1), 5+2+1=8.
Exam Tip: Write down your carry-overs on top of columns so you do not miss them.
Question XX.3. Add the following: 6490 + 2839
Answer:
| Th | H | T | O |
|---|---|---|---|
| 6 | 4 | 9 | 0 |
| + 2 | 8 | 3 | 9 |
| 9 | 3 | 2 | 9 |
In simple words: Add columns starting from ones: 0+9=9, 9+3=12 (carry 1), 4+8+1=13 (carry 1), 6+2+1=9.
Exam Tip: Be careful with zeros in your columns during addition.
Question XX.4. Add the following: 3185 + 2136 + 1123
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 1 | 8 | 5 |
| 2 | 1 | 3 | 6 |
| + 1 | 1 | 2 | 3 |
| 6 | 4 | 4 | 4 |
In simple words: Add three digits in each column: 5+6+3=14 (carry 1), 8+3+2+1=14 (carry 1), 1+1+1+1=4, 3+2+1=6.
Exam Tip: When adding three numbers, count carefully to handle larger column sums.
Question XX.5. Add the following: 4011 + 3125 + 1263
Answer:
| Th | H | T | O |
|---|---|---|---|
| 4 | 0 | 1 | 1 |
| 3 | 1 | 2 | 5 |
| + 1 | 2 | 6 | 3 |
| 8 | 3 | 9 | 9 |
In simple words: Add each column: 1+5+3=9, 1+2+6=9, 0+1+2=3, 4+3+1=8.
Exam Tip: Verify each column sum carefully to prevent simple mistakes.
Question XX.6. Add the following: 3821 + 2004 + 3695
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 8 | 2 | 1 |
| 2 | 0 | 0 | 4 |
| + 3 | 6 | 9 | 5 |
| 9 | 5 | 2 | 0 |
In simple words: Add columns: 1+4+5=10 (carry 1), 2+0+9+1=12 (carry 1), 8+0+6+1=15 (carry 1), 3+2+3+1=9.
Exam Tip: Line up columns straight to avoid shifting digit places.
Question XX.7. Add the following: 3999 + 5676
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 9 | 9 | 9 |
| + 5 | 6 | 7 | 6 |
| 9 | 6 | 7 | 5 |
In simple words: Add each column: 9+6=15 (carry 1), 9+7+1=17 (carry 1), 9+6+1=16 (carry 1), 3+5+1=9.
Exam Tip: Write down your carry digits above to be sure you add them.
Question XX.8. Add the following: 5315 + 6326
Answer:
| Th | H | T | O |
|---|---|---|---|
| 5 | 3 | 1 | 5 |
| + 6 | 3 | 2 | 6 |
| 11 | 6 | 4 | 1 |
In simple words: Add starting from ones: 5+6=11 (carry 1), 1+2+1=4, 3+3=6, 5+6=11.
Exam Tip: If the thousand column adds to 10 or more, write both digits of the result at the end.
Question XX.9. Add the following: 3123 + 1234 + 4321
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 1 | 2 | 3 |
| 1 | 2 | 3 | 4 |
| + 4 | 3 | 2 | 1 |
| 8 | 6 | 7 | 8 |
In simple words: Add starting from ones: 3+4+1=8, 2+3+2=7, 1+2+3=6, 3+1+4=8.
Exam Tip: Triple-check the sums when adding three numbers consecutively.
Subtract
Question XXI.1. Subtract the following: 3912 - 2511
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 9 | 1 | 2 |
| - 2 | 5 | 1 | 1 |
| 1 | 4 | 0 | 1 |
In simple words: Subtract columns starting from right: 2-1=1, 1-1=0, 9-5=4, 3-2=1.
Exam Tip: Be sure to write 0 when subtracting a digit from itself.
Question XXI.2. Subtract the following: 6858 - 3052
Answer:
| Th | H | T | O |
|---|---|---|---|
| 6 | 8 | 5 | 8 |
| - 3 | 0 | 5 | 2 |
| 3 | 8 | 0 | 6 |
In simple words: Subtract each column: 8-2=6, 5-5=0, 8-0=8, 6-3=3.
Exam Tip: Do not confuse subtracting zero (value stays same) with subtracting from zero.
Question XXI.3. Subtract the following: 7319 - 5219
Answer:
| Th | H | T | O |
|---|---|---|---|
| 7 | 3 | 1 | 9 |
| - 5 | 2 | 1 | 9 |
| 2 | 1 | 0 | 0 |
In simple words: Subtract columns starting from right: 9-9=0, 1-1=0, 3-2=1, 7-5=2.
Exam Tip: Work carefully from right to left to avoid simple calculation errors.
Question XXI.4. Subtract the following: 5402 - 3148
Answer:
| Th | H | T | O |
|---|---|---|---|
| 5 | 4 | 0 | 2 |
| - 3 | 1 | 4 | 8 |
| 2 | 2 | 5 | 4 |
In simple words: Since 2 is less than 8, borrow from tens (which is 0, so borrow from hundreds): 12-8=4, 9-4=5, 3-1=2, 5-3=2.
Exam Tip: When borrowing through zero, remember that the zero becomes 9.
Question XXI.5. Subtract the following: 3645 - 1892
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 6 | 4 | 5 |
| - 1 | 8 | 9 | 2 |
| 1 | 7 | 5 | 3 |
In simple words: Subtract each column: 5-2=3, 14-9=5 (borrowed), 15-8=7 (borrowed), 2-1=1.
Exam Tip: Cross out borrowed numbers and write the new ones clearly above.
Question XXI.6. Subtract the following: 3456 - 1909
Answer:
| Th | H | T | O |
|---|---|---|---|
| 3 | 4 | 5 | 6 |
| - 1 | 9 | 0 | 9 |
| 1 | 5 | 4 | 7 |
In simple words: Subtract columns starting from right: 16-9=7 (borrowed), 4-0=4, 14-9=5 (borrowed), 2-1=1.
Exam Tip: Always verify your result by adding your answer to the smaller number.
Question XXI.7. Subtract the following: 7314 - 2451
Answer:
| Th | H | T | O |
|---|---|---|---|
| 7 | 3 | 1 | 4 |
| - 2 | 4 | 5 | 1 |
| 4 | 8 | 6 | 3 |
In simple words: Subtract columns starting from right: 4-1=3, 11-5=6 (borrowed), 12-4=8 (borrowed), 6-2=4.
Exam Tip: Work slowly when borrowing is needed over multiple columns.
Question XXI.8. Subtract the following: 9301 - 4603
Answer:
| Th | H | T | O |
|---|---|---|---|
| 9 | 3 | 0 | 1 |
| - 4 | 6 | 0 | 3 |
| 4 | 6 | 9 | 8 |
In simple words: Subtract columns: 11-3=8 (borrowed), 9-0=9 (borrowed), 12-6=6 (borrowed), 8-4=4.
Exam Tip: Remember to reduce the borrowed digit value by one.
Question XXI.9. Subtract the following: 6285 - 3179
Answer:
| Th | H | T | O |
|---|---|---|---|
| 6 | 2 | 8 | 5 |
| - 3 | 1 | 7 | 9 |
| 3 | 1 | 0 | 6 |
In simple words: Subtract columns starting from ones: 15-9=6 (borrowed), 7-7=0, 2-1=1, 6-3=3.
Exam Tip: Be sure to write 0 when subtraction leaves nothing in that place value column.
Do the following
Question XXII.1. In a school there are 5390 boys and 3175 girls. How many students are there in all ?
Answer: 8565 students
Number of boys = 5390
Number of girls = 3175
Total students = 5390 + 3175 = 8565
In simple words: Add the number of boys and girls to find the total: 5390 + 3175 = 8565.
Exam Tip: The phrase "in all" means you should add the groups together.
Question XXII.2. In a garden there are 4120 red rose saplings and 2342 white rose saplings. How many saplings are there in all ?
Answer: 6462 saplings
Red rose saplings = 4120
White rose saplings = 2342
Total saplings = 4120 + 2342 = 6462
In simple words: Add both numbers of saplings to get the total sum: 4120 + 2342 = 6462.
Exam Tip: Align place value columns carefully to make adding easier.
Question XXII.3. In a school library there 2125 English books, 3280 Science books and 1230 Hindi. How many books are there in all.
Answer: 6635 books
English books = 2125
Science books = 3280
Hindi books = 1230
Total books = 2125 + 3280 + 1230 = 6635
In simple words: Add the three types of books together: 2125 + 3280 + 1230 = 6635.
Exam Tip: To add three numbers, first add the first two, then add the third number to their sum.
Question XXII.4. The population of a village is 5390. Out of them 3125 are males. Find the population of females.
Answer: 2265 females
Total population = 5390
Number of males = 3125
Number of females = 5390 - 3125 = 2265
In simple words: Subtract the number of males from the total population to find the female population: 5390 - 3125 = 2265.
Exam Tip: Subtracting one part from the whole helps find the remaining group.
Question XXII.5. In three different sectors of a city the number of people living are 3180, 2496 and 3112 respectively. What is the total number of people living in these sector ?
Answer: 8788 people
People in sector 1 = 3180
People in sector 2 = 2496
People in sector 3 = 3112
Total people = 3180 + 2496 + 3112 = 8788
In simple words: Add the populations of all three sectors to get the total number: 3180 + 2496 + 3112 = 8788.
Exam Tip: When the word 'total' is in the question, you usually need to add.
Question XXII.6. Find the difference between the greatest 4 digit number and the least 4 digit number.
Answer: 8999
Greatest 4-digit number = 9999
Least 4-digit number = 1000
Difference = 9999 - 1000 = 8999
In simple words: Subtract 1000 (smallest 4-digit number) from 9999 (largest 4-digit number) to get 8999.
Exam Tip: Greatest numbers use nines, while smallest numbers start with one followed by zeros.
Question XXII.7. In a school there are 5985 students. On a rainy day 1009 students were absent. How many were present on that day ?
Answer: 4976 students
Total students = 5985
Absent students = 1009
Present students = 5985 - 1009 = 4976
In simple words: Subtract the number of absent students from the total student count: 5985 - 1009 = 4976.
Exam Tip: The term "absent" tells you to subtract to find the number of present students.
Question XXII.8. The sum of two numbers is 7854. If one of the numbers is 2435, find the other.
Answer: 5419
Sum of two numbers = 7854
First number = 2435
Second number = 7854 - 2435 = 5419
In simple words: Subtract the known number from the total sum: 7854 - 2435 = 5419.
Exam Tip: If you are given the sum and one addend, subtract to find the other addend.
GEOMETRY
I. Fill in the blanks
Question XXIII.1. _______________ shows position.
Answer: A point
In simple words: A point shows a specific location.
Exam Tip: A point has position but no size (no width, length, or height).
Question XXIII.2. A point is represented by a _______________.
Answer: dot
In simple words: We draw a tiny dot to show a point.
Exam Tip: Always label a point using a capital letter like A, B, or P.
Question XXIII.3. _______________ is the shortest distance between two points.
Answer: A line segment
In simple words: A straight line segment is the shortest path connecting two points.
Exam Tip: Any curved line between two points will always be longer than a straight line segment.
Question XXIII.4. A line segment has _______________ end points.
Answer: 2
In simple words: A line segment has two ends that stop.
Exam Tip: The endpoints show where the line segment starts and stops.
Question XXIII.5. A _______________ has a definite length.
Answer: line segment
In simple words: A line segment has a fixed length we can measure.
Exam Tip: Unlike rays or lines, line segments do not go on forever.
Question XXIII.6. A line segment extended endlessly in one direction is called a _______________.
Answer: ray
In simple words: A ray starts at one point and goes on forever in one direction.
Exam Tip: A ray is drawn with one arrow at its end.
Question XXIII.7. A ray has _______________ end points.
Answer: 1
In simple words: A ray has exactly one starting point.
Exam Tip: The single endpoint is the starting point of the ray.
Question XXIII.8. A line has _______________ end points.
Answer: no (or 0)
In simple words: A line goes on forever in both directions so it has no endpoints.
Exam Tip: Lines are drawn with arrows on both ends to show they do not stop.
Question XXIII.9. A line segment extended endlessly in both directions is called a _____________.
Answer: line
In simple words: Stretching a segment forever on both sides creates a line.
Exam Tip: A line is straight and goes on forever.
Question XXIII.10. A triangle is bounded by _______________ line segments.
Answer: 3
In simple words: A triangle is made of three straight side lines.
Exam Tip: Try to draw a triangle to confirm it has exactly three segments.
Question XXIII.11. A triangle has _______________ sides and _______________ vertices.
Answer: 3 sides and 3 vertices
In simple words: A triangle always has three sides and three corner points.
Exam Tip: A vertex is the corner point where two sides of the triangle meet.
Question XXIII.12. A square has _______________ sides and _______________ vertices.
Answer: 4 sides and 4 vertices
In simple words: A square has four sides and four corner points.
Exam Tip: All four sides of a square are equal in length.
Question XXIII.13. All sides of a square are _______________.
Answer: equal
In simple words: Every side of a square is the same length.
Exam Tip: If the sides are different lengths, it is not a square.
Question XXIII.14. A rectangle has _______________ sides and _______________ vertices.
Answer: 4 sides and 4 vertices
In simple words: A rectangle has four sides and four corner points.
Exam Tip: Just like a square, a rectangle has four corner points.
Question XXIII.15. The _______________ sides of a rectangle are equal.
Answer: opposite
In simple words: In a rectangle, only the sides facing each other are equal.
Exam Tip: The opposite sides are parallel and the same length.
Question XXIII.16. A circle has _______________ sides.
Answer: no (or 0)
In simple words: A circle is perfectly round and has no straight sides.
Exam Tip: A circle is made of a single curved line with zero corners.
Question XXIII.17. A cube has ________ faces, __________ vertices and _________ edges.
Answer: 6 faces, 8 vertices and 12 edges
In simple words: A cube has 6 flat sides, 8 corners, and 12 straight lines.
Exam Tip: Remember the sequence 6, 8, 12 for 3D boxes.
Question XXIII.18. A sugar cube has _______________ faces.
Answer: 6
In simple words: A sugar cube has 6 flat square faces.
Exam Tip: Everyday cubes like dice and sugar blocks have exactly six sides.
Question XXIII.19. A cuboid has ________faces, _______ vertices and _________edges.
Answer: 6 faces, 8 vertices and 12 edges
In simple words: A cuboid has 6 flat sides, 8 corners, and 12 straight lines.
Exam Tip: Cubes and cuboids share the exact same number of faces, corners, and edges.
Question XXIII.20. A cone has ________edges ________vertex and __________faces.
Answer: 1 edge, 1 vertex and 2 faces
In simple words: A cone has one curved edge, one sharp tip on top, and two surfaces.
Exam Tip: Think of a party hat to remember the one vertex of a cone.
Question XXIII.21. A cylinder has __________faces and _______________ edges.
Answer: 3 faces and 2 edges
In simple words: A cylinder has three surfaces (two flat, one curved) and two round edges.
Exam Tip: A soda can is a great example of a cylinder.
Question XXIII.22. A sphere has _____________ face and ____________vertex.
Answer: 1 face and no (or 0) vertex
In simple words: A sphere has one fully curved surface and no corner points.
Exam Tip: A ball is a sphere with zero corners.
Question XXIII.23. All faces of a cube are _____________.
Answer: squares
In simple words: Every flat surface on a cube is a perfect square.
Exam Tip: If the flat surfaces are rectangular, it is a cuboid, not a cube.
Question XXIII.24. Pepse can has -------------shape.
Answer: cylindrical (or cylinder)
In simple words: A soda can is shaped like a cylinder.
Exam Tip: Objects like cans, pipes, and logs are cylinders.
II. Draw
Question XXIV.1. A line Segment AB = 8 cm
Answer:
In simple words: Use a ruler to draw a straight line from 0 to 8 cm and label the ends.
Exam Tip: Always place your pencil exactly on the zero mark when you start drawing.
Question XXIV.2. A line Segment PQ = 7 cm
Answer:
In simple words: Draw a line measuring 7 cm and label the endpoints P and Q.
Exam Tip: Endpoints must be marked with distinct tiny dots.
Question XXIV.3. A line Segment LM = 9 cm
Answer:
In simple words: Draw a 9 cm line segment and label it LM.
Exam Tip: A line segment must have clear dots at both ends to show it stops.
Question XXIV.4. Draw a line segment XY = 6 cm
Answer:
In simple words: Draw a straight line segment of 6 cm and label it XY.
Exam Tip: Keep your pencil sharp to draw accurate measurements.
III. Properties questions
Question XXV.1. Write 3 properties of a triangle
Answer:
1. It has exactly three sides.
2. It has three vertices or corner points.
3. It has three interior angles.
In simple words: A triangle has three straight side lines and three corner points.
Exam Tip: Remember that all corners of a triangle meet to form a closed shape.
Question XXV.2. Write 3 properties of a square
Answer:
1. It has four straight sides.
2. All of its four sides are equal in length.
3. It has four corner points or vertices.
In simple words: A square has four identical sides and four corner points.
Exam Tip: The equal length of all sides is the most important property of a square.
Question XXV.3. Write 3 properties of a rectangle
Answer:
1. It has four sides and four corner points.
2. Its opposite sides are equal in length.
3. All of its four angles are right angles.
In simple words: A rectangle has four sides, where facing sides are equal, and four corners.
Exam Tip: Unlike a square, only the opposite sides of a rectangle are equal in length.
Question XXV.4. Write 2 properties of a circle
Answer:
1. It has zero straight sides and zero corner points.
2. It has a single curved boundary where every point is equal distance from the center.
In simple words: A circle is perfectly round with no corners or straight lines.
Exam Tip: Mentioning that a circle has no sides or corners is a quick way to earn points on questions like this.
Free CBSE Practice Worksheets: Class 3 Mathematics All Chapters
Practice Exercises for Class 3 Mathematics All Chapters
Access structured practice worksheets for All Chapters aligned with the 2026 CBSE curriculum. These downloadable exercises for Class 3 Mathematics help students build accuracy and reinforce core concepts for upcoming school tests.
Step-by-Step Solutions and Practice Guidelines
Designed around the official curriculum for Class 3 Mathematics, these practice sheets guarantee standard compliance. Reviewing step-by-step solutions after completion sharpens your accuracy and clarifies complex sub-topics within All Chapters.
Enhance Speed with Online Practice
Consistent engagement with these exercises builds familiarity with recurring exam themes. If specific areas within All Chapters cause trouble, utilize our dedicated NCERT solutions for Class 3 Mathematics to clear up doubts immediately.
FAQs
You can download the latest chapter-wise printable worksheets for Class 3 Mathematics All Chapters for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.
Yes, Class 3 Mathematics worksheets for All Chapters focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.
Yes, we have provided solved worksheets for Class 3 Mathematics All Chapters to help students verify their answers instantly.
Yes, our Class 3 Mathematics test sheets are mobile-friendly PDFs and can be printed by teachers for classroom.
For All Chapters, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.