NCERT Solutions for Class 3 Maths Chapter 04 Vacation with My Nani Maa

Chapter 4: Vacation with My Nani Maa

Question. Perform the trick on your friends. Write the numbers of hidden seeds in the table below.
Answer: We can find the hidden seeds by subtracting the seeds on the table from the total number of seeds:

In simple words: Subtract the visible seeds from the total seeds to find how many seeds are hidden under the cup.

Exam Tip: If you know the total number of seeds, you can easily find the hidden ones using subtraction.

Question. Nandini had 7 balushahi in her box and Chirag had 5 balushahi in his box. How many do we have in total? Draw the number of dots. How many did he eat? 7 Balushahi - 5 Balushahi = ........ Balushahi
Answer: Let us solve these sweet calculations:
* We add them together: 7 Balushahi + 5 Balushahi = 12 Balushahi. (To show this, we draw 10 dots in the first frame and 2 dots in the second frame).
* Chirag ate 2 balushahi.
* To find out how many were eaten: 7 Balushahi - 5 Balushahi = 2 Balushahi.
In simple words: When we join 7 and 5, we get 12 balushahi in total. Since only 5 are left, Chirag must have eaten 2.

Exam Tip: Draw dots inside the ten-frames to help you visualize how 7 and 5 combine to make 10 and 2 more.

Question. Chirag got 9 story books for Nani Maa and Nandini got 7 puzzle books for Nani Maa. How many total books did the children get for Nani Maa? ........ Books + ........ Books = ........ Books
Answer: Let us add the books: 9 Books + 7 Books = 16 Books.
In simple words: We can combine 9 story books and 7 puzzle books to get sixteen books in total.

Exam Tip: To add 9 and 7 quickly, move 1 book from the 7 to the 9 to make a friendly 10, then add the remaining 6.

Question. Use the tens frame to solve the following.
(i) 6 + 8 = ........
(ii) 5 + 10 = ........
(iii) 9 - 6 = ........
(iv) 18 - 9 = ........
Answer: Here are the answers solved using tens frames:
(i) 6 + 8 = 14
(ii) 5 + 10 = 15
(iii) 9 - 6 = 3
(iv) 18 - 9 = 9
In simple words: Ten-frames help us add and subtract numbers easily by grouping them into tens and ones.

Exam Tip: Practice filling up one full ten-frame first when adding numbers, as it makes calculation much faster.

Question. Nandini and Chirag have 22 stamps. Nani Maa's brother gives them his collection of 30 stamps. How many stamps do they have now? 22 Stamps + ........ Stamps = ........ Stamps Or 22 + ........ = ........
Answer: We can count the stamps on a bead string:
* Start at 22 and jump forward by 3 tens (30 steps).
* 22 Stamps + 30 Stamps = 52 Stamps.
* Or, 22 + 30 = 52.
In simple words: When we add thirty more stamps to twenty-two stamps, we get fifty-two stamps in total.

Exam Tip: Adding 30 is the same as making three big jumps of 10 forward on your number line.

Question. They now have 52 stamps. Nandini and Chirag count and find that they have 37 stamps with faces of famous persons and the remaining with pictures of monuments. How many stamps with pictures of monuments do they have? 52 Stamps - 37 Stamps = ........ Stamps Or, 37 Stamps + ........ Stamps = 52 Stamps
Answer: Let us solve this by jumping backward or forward on the bead string:
* 52 Stamps - 37 Stamps = 15 Stamps.
* In numbers: 52 - 37 = 15.
* Or, we can count forward from 37 to 52:
* 37 Stamps + 15 Stamps = 52 Stamps.
* In numbers: 37 + 15 = 52.
In simple words: If they have 52 stamps in total and 37 are portrait stamps, then the other 15 stamps must have pictures of monuments.

Exam Tip: Counting forward from 37 to 52 (by jumping +3 to 40, then +10 to 50, and +2 to 52) is often easier than subtracting.

Question. Nani Maa, we have 52 stamps now. Next time when we come, we will have 75 stamps! How many more stamps will they need? Figure it out using the number line. ........ stamps + ........ stamps = ........ stamps Or, ........ + ........ = ........
Answer: Let us use jumps on the number line to reach 75 from 52:
* First, jump 20 steps to reach 72, then jump 3 steps to land on 75. The total jump is 23 steps.
* 52 stamps + 23 stamps = 75 stamps.
* In numbers: 52 + 23 = 75.
In simple words: They need twenty-three more stamps to increase their collection from fifty-two to seventy-five.

Exam Tip: Draw your jumps on the number line clearly, labeling each jump with its value like "+20" and "+3."

Question 1. Solve using a ginladi.
a. 34 + 6 = ........
b. 23 + 12 = ........
c. 33 - 5 = ........
d. 42 - 15 = ........
Answer: Here are the steps to solve using the bead string:
* a. 34 + 6 = 40: Start on bead 34, take a jump of 6 beads forward to land on 40.
* b. 23 + 12 = 35: Start on bead 23, take a jump of 12 beads forward to land on 35.
* c. 33 - 5 = 28: Start on bead 33, take a jump of 5 beads backward to land on 28.
* d. 42 - 15 = 27: Start on bead 42, take a jump of 15 beads backward to land on 27.
In simple words: A bead string is a great tool. We count beads forward to add, and count them backward to subtract.

Exam Tip: Remember that beads on a ginladi are grouped in sets of 10 of different colors, which makes it easy to spot tens.

Question 2. A frog is jumping on the ginladi. He is at 7. He wants to jump 10 beads at a time. Mark the beads that he will jump on and write the numbers.
Answer: The frog will land on these numbers: 7, 17, 27, 37, 47, 57, 67, 77, 87, and 97.
In simple words: Jumping by ten means adding 10 each time. The ones digit '7' always stays the same.

Exam Tip: When you add 10 to any number, the tens digit increases by 1 but the ones digit never changes.

Question 3. The frog again jumps forward by 10 each time. Mark all the places where the frog will land. (Starting at 23)
Answer: The frog starting at 23 will land on these numbers: 23, 33, 43, 53, 63, 73, 83, and 93.
In simple words: When starting from twenty-three and jumping by tens, we write numbers ending in 3.

Exam Tip: Check that the ones digit (3) is identical on every number when counting forward by tens.

Question 4. The grasshopper jumps backward by 10 each time. Mark all the beads that the grasshopper will jump on and write numbers. (Starting at 76)
Answer: The grasshopper jumping backward from 76 will land on: 76, 66, 56, 46, 36, 26, 16, and 6.
In simple words: Jumping backward by ten means subtracting 10 each time. The tens digit goes down by 1.

Exam Tip: When skip-counting backward by 10, subtract 1 from the tens place of each number.

Question 5. Fill in the tables by jumping as instructed.
Answer: Let us complete the skip-counting tables:
* Jump 5 Table: 34 goes to 39 and then 44. 56 goes to 61 and then 66.
* Jump 6 Table: 59 goes to 65. 67 goes to 73.
* Jump 9 Table: 12 goes to 21, then 30, and then 39.
In simple words: We can count forward by adding 5, 6, or 9 to the numbers as shown by the arrows.

Exam Tip: Follow the arrow direction carefully to see which number you need to add to.

Question. Nandini is at 23. She has got 11 on the dice as her score. She thinks of two ways of moving to 34. A jump from 23 to 34 is ........ steps. Help him move his counter to the correct number. (Chirag is at 19. He gets 54 on the dice.)
Answer: Let us solve these moves on the board:
* A jump from 23 to 34 takes 11 steps in total (or we can think of it as 2 jumps: one jump of +10 to 33, and then 1 small step to 34).
* To help Chirag move 54 steps from 19 to 73, he can jump like this:
* First, add +1 to reach the friendly number 20.
* Next, make a big jump of +50 to land on 70.
* Finally, add +3 to reach his final spot of 73.
In simple words: Moving 11 steps takes you from 23 to 34. Chirag can reach 73 by jumping 1 step to 20, then 50 steps to 70, and 3 steps more.

Exam Tip: Breaking a large number like 54 into smaller, friendly jumps (like +1, +50, and +3) makes mental math very easy.

Question 1. Use the number grid to answer the following. Show your thinking by drawing arrows in the grid.
a. Nandini is at 45. She gets 34. She will land on .........
b. Chirag is at 75. He gets 56. He will land on .........
c. Nandini is at 30. She gets 66. She will land on .........
d. Chirag is at 89. He gets 63. He will land on .........
Answer: Let us solve these using the number grid:
* a. 45 + 34 = 79. (Start at 45, move down 3 rows to 75, then move 4 spaces right to 79).
* b. 75 + 56 = 131. (Start at 75, move down 5 rows to 125, then move 6 spaces right to 131).
* c. 30 + 66 = 96. (Start at 30, move down 6 rows to 90, then move 6 spaces right to 96).
* d. 89 + 63 = 152. (Start at 89, move down 6 rows to 149, then move 3 spaces right to 152).
In simple words: Moving down one row on a number grid is the same as adding 10. Moving right is the same as adding 1.

Exam Tip: On a 10x10 number grid, jumping down adds 10, and moving right adds 1. Use this shortcut to add numbers quickly.

Question. Observe the numbers. What do you notice? Fill the blanks to complete the Magic square:
Answer: In each magic square, the numbers 1 to 9 are used without repeating. The sum of each row and column is identical.
* Completed Magic Square:

In simple words: In a magic square, the numbers in every row, column, and diagonal always add up to the same total (which is 15).

Exam Tip: Remember that the center number of a 3x3 magic square with numbers 1 to 9 is always 5, and the constant sum is 15.

Question. Nani Maa has plucked 25 red radishes and 36 white radishes. How many total radishes has she plucked? 25 radish + 36 white radishes = ........ radishes. Find other ways of solving the same problem on the number line.
Answer: Let us find the total number of radishes:
* 25 radishes + 36 radishes = 61 radishes.
* In numbers: 25 + 36 = 61.
* On the number line: We start at 25. First, make three big jumps of +10 to reach 55. Then, make a jump of +5 to reach 60, and finally add +1 to land on 61.
In simple words: Adding twenty-five and thirty-six gives sixty-one radishes. We can do this easily on a number line by jumping by tens.

Exam Tip: Break the second number (36) into tens and ones (10 + 10 + 10 + 6) to make your number line jumps easy to draw.

Question. Nani Maa puts tomatoes and carrots in a box and writes 100 on it. I remember she had put 65 tomatoes. We need not count the carrots. Your estimation of carrots: ........ Circle the bundle of sticks that shows the correct number of carrots. ........ tomatoes and ........ carrots total ........ vegetables. ........ tomatoes taken out from a box of 100 vegetables, leaves ........ carrots.
Answer: Let us work out the number of carrots:
* Our estimation of carrots is 35.
* We circle the group with 3 bundles of ten and 5 single sticks (which is 35).
* 65 tomatoes and 35 carrots make a total of 100 vegetables.
* Equation: 65 + 35 = 100.
* If we take out 65 tomatoes from the box of 100, we get 35 carrots left.
* In numbers: 100 - 65 = 35.
In simple words: Since there are 100 vegetables in total and 65 are tomatoes, the remaining 35 must be carrots.

Exam Tip: When you know the total and one part, subtract the known part from the total to find the other missing part.

Question. Let us see how many total apples we have collected. Draw a box diagram for the problem below. How many apples in all? (Nandini: 85, Chirag: 67)
Answer: Let us find the total number of apples collected:
* 85 apples + 67 apples = 152 apples.
* There are 152 apples in all.
In simple words: When we join Nandini's 85 apples and Chirag's 67 apples, we get one hundred and fifty-two apples.

Exam Tip: Use a box diagram where two smaller boxes (85 and 67) sit side-by-side underneath one long box (152) to show addition.

Question. Try finding out the answer on the number line below. 85 apples + 67 apples = ........ apples. Who collected more, Nandini or Chirag? How much more? ........ collected ........ apples more than ........ .
Answer: Let us solve this on the number line:
* 85 + 67 = 152.
* Nandini collected more apples than Chirag. She collected 18 more apples.
* In numbers: 85 - 67 = 18.
* So, Nandini collected 18 apples more than Chirag.
In simple words: Nandini has 85 and Chirag has 67. Nandini has eighteen more apples than Chirag.

Exam Tip: To find "how many more," always subtract the smaller number from the larger number.

Question 1. Solve the following problems by first drawing the box diagrams. Use matchstick bundles or a number line to find the answer. Babli didi sold 34 books on Monday and 45 books on Tuesday. How many books did she sell in the two days? How many more did she sell on Tuesday than on Monday?
Answer: Let us find the answers using addition and subtraction:
* Total books sold in two days: 34 books + 45 books = 79 books.
* More books sold on Tuesday: 45 books - 34 books = 11 books.
In simple words: Didi sold seventy-nine books in total. She sold eleven more books on Tuesday than on Monday.

Exam Tip: Draw two different box diagrams: one for the total (adding the parts) and one for comparison (finding the difference).

Question 2. In a cricket match at Rosary school, Team Red made 56 runs before lunch and 65 runs after lunch. How many total runs did they make?
Answer: Let us add the runs: 56 runs + 65 runs = 121 total runs.
In simple words: Team Red scored a total of one hundred and twenty-one runs in their cricket match.

Exam Tip: To add 56 and 65, add the tens first (50 + 60 = 110), then add the ones (6 + 5 = 11), and join them (110 + 11 = 121).

Question 3. Rama sells vadas in the school canteen. She has sold 39 vadas the first day. She sold 12 more the next day. How many many vadas did she sell in these two days?
Answer: Let us work this out in two quick steps:
* Vadas sold on the second day: 39 + 12 = 51 vadas.
* Total vadas sold in both days: 39 + 51 = 90 vadas.
In simple words: Rama sold 51 vadas on the second day, which means she sold ninety vadas in total over both days.

Exam Tip: This is a two-step word problem. First find the sales of the second day before adding both days together.

Question 4. Gehru brings 56 plants for her terrace garden. Some plants dried up. She is left with 29 plants. How many plants dried up?
Answer: Let us find the dried-up plants: 56 plants - 29 plants = 27 dried-up plants.
In simple words: Out of fifty-six plants, twenty-seven dried up, leaving twenty-nine healthy plants in the garden.

Exam Tip: To subtract 29 quickly, subtract 30 first (56 - 30 = 26) and then add 1 back (26 + 1 = 27).

Question 5. Choose two numbers. Make a word problem using the two numbers. Share it with your classmates.
Answer: Let us choose the numbers 15 and 10:
* My Word Problem: Meena has 15 red pens and 10 blue pens in her pencil case. How many total pens does she have?
In simple words: We can choose any two numbers and write a fun story about adding them together.

Exam Tip: Use simple objects like toys, chocolates, or colored pencils to write your own word problems.

Question 1. Let us Do. Estimate the answer and say if it will be more or less than 100. Match with the correct one.
Answer: Let us group the sums into more than 100 and less than 100:
* More than 100:
* 150 - 49 = 101
* 199 - 90 = 109
* 70 + 30 + 1 = 101
* 95 + 10 + 5 = 110
* 124 + 23 + 20 = 167
* Less than 100:
* 134 - 56 = 78
* 20 + 41 = 61
* 156 - 65 = 91
* 68 - 26 = 42
* 109 - 80 = 29
* 63 + 26 = 89
In simple words: We can estimate if the total is bigger or smaller than one hundred by looking at the tens places.

Exam Tip: To estimate quickly, round the numbers to the nearest tens first (for example, 150 - 49 is close to 150 - 50, which is 100).

Question 2. Solve the above problems using a number line. Write the answer next to the problem.
Answer: Here is how we solve the problems on a number line:
* 134 - 56 = 78: Start at 134, jump backward by 50 to 84, then jump backward by 6 to land on 78.
* 20 + 41 = 61: Start at 20, jump forward by 40 to 60, then jump forward by 1 to land on 61.
* 150 - 49 = 101: Start at 150, jump backward by 40 to 110, then jump backward by 9 to land on 101.
* 199 - 90 = 109: Start at 199, jump backward by 90 to land on 109.
* 70 + 30 + 1 = 101: Start at 70, jump forward by 30 to 100, then jump forward by 1 to land on 101.
* 156 - 65 = 91: Start at 156, jump backward by 60 to 96, then jump backward by 5 to land on 91.
* 68 - 26 = 42: Start at 68, jump backward by 20 to 48, then jump backward by 6 to land on 42.
* 95 + 10 + 5 = 110: Start at 95, jump forward by 10 to 105, then jump forward by 5 to land on 110.
* 109 - 80 = 29: Start at 109, jump backward by 80 to land on 29.
* 63 + 26 = 89: Start at 63, jump forward by 20 to 83, then jump forward by 6 to land on 89.
* 124 + 23 + 20 = 167: Start at 124, jump forward by 20 to 144, then jump forward by 20 to 164, and finally jump forward by 3 to land on 167.
In simple words: The number line lets us see our addition and subtraction as forward or backward jumps.

Exam Tip: When subtracting, jump backward. When adding, jump forward. Always label your jumps with the value of the step.