Class 4 Mathematics Practice Sheet: CBSE Class 4 Mathematics 4-Digit Numbers and Roman Numerals Worksheet Set 27
Explore structured practice materials through the CBSE Class 4 Mathematics 4-Digit Numbers and Roman Numerals Worksheet Set 27. Tailored for Class 4 learners, utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving accuracy before final school evaluations.
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Questions
Section A: 4-Digit Number Revision
Q1. The smallest 4-digit number is ______. [1 mark]
View Answer & Explanation
Answer: 1000
Teacher's Note:
1. The smallest digit that can start a number is 1, since a leading zero is not allowed.
2. So the smallest 4-digit number is 1000.
Q2. The largest 4-digit number formed using the digits 6, 8, 3 and 2 (each once) is ______. [1 mark]
View Answer & Explanation
Answer: 8632
Teacher's Note:
1. Arrange the digits from the greatest to the smallest.
2. So 8, 6, 3, 2 gives 8632.
Q3. The successor of 6899 is ______. [1 mark]
View Answer & Explanation
Answer: 6900
Teacher's Note:
1. The successor is the number just after, found by adding 1.
2. 6899 + 1 = 6900.
Q4. The smallest 4-digit number formed using the digits 6, 8, 3 and 2 (each once) is ______. [1 mark]
View Answer & Explanation
Answer: 2368
Teacher's Note:
1. Arrange the digits from the smallest to the greatest.
2. So 2, 3, 6, 8 gives 2368.
Q5. The place value of ______ always remains the same. [1 mark]
View Answer & Explanation
Answer: Zero (0). Its place value is 0 in every place.
Teacher's Note:
1. Place value is digit × value of its place.
2. Zero multiplied by anything is zero.
Q6. Compare using <, > or =: (a) 1001 and 996 (b) 5406 and 5460 (c) 9990 and 9909 (d) 3214 and 3124. [1 mark]
View Answer & Explanation
Answer: (a) 1001 > 996 (4 digits against 3 digits).
(b) 5406 < 5460 (tens: 0 < 6).
(c) 9990 > 9909 (hundreds are equal; tens: 9 (hundreds: 9 > 9 equal, tens: 9 > 0)gt; 0).
(d) 3214 > 3124 (hundreds: 2 > 1).
Teacher's Note:
1. A number with more digits is greater.
2. With equal digits, compare from the left.
Q7. Simplify: (a) 6908 − 4929 + 623 (b) 8000 − 3123 + 2534. [1 mark]
View Answer & Explanation
Answer: (a) 6908 − 4929 = 1979; 1979 + 623 = 2602.
(b) 8000 − 3123 = 4877; 4877 + 2534 = 7411.
Teacher's Note:
1. Work from left to right when only + and − are present.
2. Check each step by adding back.
Q8. Write the smallest 4-digit number using each of the digits only once: (a) 8, 5, 1, 6 (b) 5, 7, 0, 2. [1 mark]
View Answer & Explanation
Answer: (a) 1568.
(b) 2057, because 0 cannot be placed at the start, so the smallest non-zero digit 2 goes first and then 0, 5, 7.
Teacher's Note:
1. Put the digits in increasing order.
2. If 0 is present, do not place it first.
Q9. Multiply: (a) 146 × 45 (b) 116 × 74. [1 mark]
View Answer & Explanation
Answer: (a) 146 × 45 = 146 × 40 + 146 × 5 = 5840 + 730 = 6570.
(b) 116 × 74 = 116 × 70 + 116 × 4 = 8120 + 464 = 8584.
Teacher's Note:
1. Split the multiplier into tens and ones.
2. Add the two partial products.
Q10. What must be added to 3689 to get 5011? [1 mark]
View Answer & Explanation
Answer: 5011 − 3689 = 1322. So 1322 must be added.
Teacher's Note:
1. Subtract the smaller number from the bigger one.
2. Check: 3689 + 1322 = 5011.
Q11. The difference between two numbers is 5689. If the smaller number is 1796, find the larger number. [1 mark]
View Answer & Explanation
Answer: Larger number = 1796 + 5689 = 7485.
Teacher's Note:
1. Larger number = smaller number + difference.
2. Check: 7485 − 1796 = 5689.
Q12. Choose the right unit (g, m, l, ml) for: (a) height of a tree (b) mass of a book (c) nasal drops in a bottle (d) oil in a tanker. [1 mark]
View Answer & Explanation
Answer: (a) m (b) g (c) ml (d) l.
Teacher's Note:
1. Length is in m, mass in g, and liquids in ml or l.
2. Small quantities use small units, such as ml and g.
Q13. Find the quotient and remainder: (a) 306 ÷ 8 (b) 3008 ÷ 7 (c) 9917 ÷ 9 (d) 4000 ÷ 6. [1 mark]
View Answer & Explanation
Answer: (a) Quotient 38, remainder 2.
(b) Quotient 429, remainder 5.
(c) Quotient 1101, remainder 8.
(d) Quotient 666, remainder 4.
Teacher's Note:
1. Dividend = divisor × quotient + remainder.
2. The remainder is always less than the divisor.
Q14. True or false: (a) A line has no end points. (b) A ray has a definite length. (c) A cuboid has 8 edges and 8 vertices. [1 mark]
View Answer & Explanation
Answer: (a) True; a line extends endlessly in both directions.
(b) False; a ray starts at one point and goes on without end.
(c) False; a cuboid has 12 edges and 8 vertices.
Teacher's Note:
1. A line segment has two end points, a ray has one, a line has none.
2. Count the edges of a box to check.
Section B: Roman Numerals
Q15. Write the Roman numerals for (a) 12 (b) 15 (c) 9 (d) 10 (e) 34 (f) 27. [1 mark]
View Answer & Explanation
Answer: (a) XII (b) XV (c) IX (d) X (e) XXXIV (f) XXVII.
Teacher's Note:
1. Split into tens and ones first.
2. For 9, write one before ten: IX.
Q16. Write the Hindu-Arabic numbers for (a) XXXIX (b) XXIV (c) XVIII (d) XIX (e) XVI (f) XXXIII. [1 mark]
View Answer & Explanation
Answer: (a) 39 (b) 24 (c) 18 (d) 19 (e) 16 (f) 33.
Teacher's Note:
1. Read the symbols from left to right and add or subtract.
2. A smaller symbol before a larger one is subtracted.
Q17. Write the values of the seven Roman symbols I, V, X, L, C, D and M. [1 mark]
View Answer & Explanation
Answer: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000.
Teacher's Note:
1. All Roman numbers are built from these seven symbols.
2. There is no symbol for zero.
Q18. Which Roman symbols can never be repeated, and how many times may the others be repeated? [1 mark]
View Answer & Explanation
Answer: V, L and D are never repeated. I, X, C and M may be repeated at most three times in a row.
Teacher's Note:
1. For example XXX is 30, but 40 is XL and not XXXX.
2. VV is wrong since 10 is written X.
Q19. Which of these Roman numerals are meaningless? CV, CI, LI, VC. [1 mark]
View Answer & Explanation
Answer: VC is meaningless, because V cannot be subtracted from C. CV (105), CI (101) and LI (51) are correct.
Teacher's Note:
1. Only I, X and C can be written before a larger symbol to subtract.
2. V, L and D are never subtracted.
Q20. Compare using <, > or =: (a) XCIII and CXIII (b) CDXL and CDLX (c) CXLIX and CLXXXIX (d) CCXXVI and CCXXIX. [1 mark]
View Answer & Explanation
Answer: (a) XCIII = 93, CXIII = 113, so XCIII < CXIII.
(b) CDXL = 440, CDLX = 460, so CDXL < CDLX.
(c) CXLIX = 149, CLXXXIX = 189, so CXLIX < CLXXXIX.
(d) CCXXVI = 226, CCXXIX = 229, so CCXXVI < CCXXIX.
Teacher's Note:
1. Change each numeral to a Hindu-Arabic number first.
2. Then compare the numbers as usual.
Q21. Give the answers in Roman numerals: (a) XXV + XL (b) LXIII + XII (c) LXX + XXX (d) IX + XV + XX. [1 mark]
View Answer & Explanation
Answer: (a) 25 + 40 = 65 = LXV.
(b) 63 + 12 = 75 = LXXV.
(c) 70 + 30 = 100 = C.
(d) 9 + 15 + 20 = 44 = XLIV.
Teacher's Note:
1. Convert, add, and convert back.
2. 44 is written as 40 + 4 = XL + IV.
Q22. Write the predecessor and successor of (a) IX (b) XLV (c) XXIII (d) XVI (e) XLII. [1 mark]
View Answer & Explanation
Answer: (a) VIII and X.
(b) XLIV and XLVI.
(c) XXII and XXIV.
(d) XV and XVII.
(e) XLI and XLIII.
Teacher's Note:
1. Predecessor is one less, successor is one more.
2. Do the change in numbers and rewrite as Roman.
Q23. Write in Roman numerals: (a) 50 (b) 62 (c) 75 (d) 90 (e) 99. [1 mark]
View Answer & Explanation
Answer: (a) L (b) 50 + 10 + 2 = LXII (c) 50 + 10 + 10 + 5 = LXXV (d) 100 − 10 = XC (e) 90 + 9 = XCIX.
Teacher's Note:
1. Break the number into hundreds, tens and ones.
2. 99 is XC followed by IX, not IC.
Q24. HOTS: Write 445 in Roman numerals. [1 mark]
View Answer & Explanation
Answer: 445 = 400 + 40 + 5. 400 = 500 − 100 = CD, 40 = XL, 5 = V. So 445 = CDXLV.
Teacher's Note:
1. Handle each place value separately.
2. Subtraction forms are used for 4, 9, 40, 90, 400 and 900.
Q25. A Roman clock shows the hour as VII. Write this hour in Hindu-Arabic numerals and write the numeral for one hour later. [1 mark]
View Answer & Explanation
Answer: VII = 5 + 2 = 7. One hour later is 8 o'clock, written VIII (5 + 3).
Teacher's Note:
1. V followed by symbols of I adds to 5.
2. Do not write IIX for 8.
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