Icse class 8th square numbers and cube numbers worksheet fill in the blanks and simpliy
The worksheet is ready! Here's what's included:
- Section A - 15 Fill in the Blanks on Square Numbers (squares, square roots, properties)
- Section B - 15 Fill in the Blanks on Cube Numbers (cubes, cube roots, properties)
- Section C - 15 Simplify questions (mixed square + cube operations)
- Section D - 5 Word Problems
- Full Answer Key with working steps
The questions cover all key ICSE Class 8 concepts: perfect squares/cubes, square roots, cube roots, decimals, fractions, negative numbers, and properties. Let me know if you want a printable PDF version or more questions on any specific topic!
No answers just questions
📝 ICSE Class 8 Mathematics
Chapter: Square Numbers and Cube Numbers
Worksheet - Fill in the Blanks & Simplify
Name: _____________________ Date: __________ Roll No.: _____
SECTION A: Fill in the Blanks - Square Numbers
1. The square of 9 is __________.
2. The square of 15 is __________.
3. The square of 0.4 is __________.
4. √144 = __________
5. √2.25 = __________
6. √(49/121) = __________
7. A perfect square always ends in the digits __________, __________, __________, __________, or __________.
8. The number of zeros at the end of a perfect square is always __________ (odd / even).
9. The square of an odd number is always __________ (odd / even).
10. If a number has 5 at its unit place, its square ends in __________.
11. The square of 1.3 = __________
12. Between 10² and 11², there are __________ non-square numbers.
13. √0.0081 = __________
14. The smallest perfect square divisible by 4, 9, and 16 is __________.
15. (−7)² = __________
SECTION B: Fill in the Blanks - Cube Numbers
16. The cube of 6 is __________.
17. The cube of −4 is __________.
18. The cube of 1/3 is __________.
19. ∛512 = __________
20. ∛(−1000) = __________
21. ∛(27/125) = __________
22. The cube of an even number is always __________ (odd / even).
23. The cube of a negative number is always __________ (positive / negative).
24. ∛0.008 = __________
25. The smallest number by which 72 must be multiplied to make it a perfect cube is __________.
26. The smallest number by which 500 must be divided to make it a perfect cube is __________.
27. ∛1331 = __________
28. 5³ + 3³ = __________
29. The unit digit of the cube of 4 is __________.
30. The unit digit of the cube of 7 is __________.
SECTION C: Simplify
Q1. √(16 × 25) = __________
Q2. √(36/81) = __________
Q3. ∛(8 × 27) = __________
Q4. √(0.49) = __________
Q5. ∛(−64) × ∛(−8) = __________
Q6. √225 + ∛125 = __________
Q7. (∛64)² = __________
Q8. √(3² + 4²) = __________
Q9. ∛(0.125) = __________
Q10. √(12.25) = __________
Q11. (√81 + ∛27) × (∛8 − √4) = __________
Q12. ∛(−343) + √169 = __________
Q13. √(1 + 3 + 5 + 7 + 9 + 11 + 13) = __________
Q14. (0.3)³ + (0.4)³ = __________
Q15. √(225/324) = __________
SECTION D: Word Problems
31. A square field has an area of 1764 m². Its side length is __________ m.
32. The volume of a cube is 3375 cm³. Its edge length is __________ cm.
33. If 2³ × 3³ = __________, then ∛216 = __________.
34. A square garden has 196 plants arranged in equal rows. The number of plants in each row is __________.
35. A cube has volume 9261 cm³. Its surface area = __________ cm².
All the best! 🌟
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Prepare questions paper as like choose the correct answer and simplification of square numbers and cube numbers worksheet class 8th icse
📝 ICSE Class 8 Mathematics
Chapter: Square Numbers and Cube Numbers
Question Paper — MCQ & Simplification
Name: _____________________ Class: 8 _____ Date: __________
Roll No.: _____ Max. Marks: 50 Time: 1 Hour 30 Min.
Instructions:
- All questions are compulsory.
- Section A carries 1 mark each.
- Section B carries 2 marks each.
- Section C carries 3 marks each.
- Write answers neatly and show all working for Section B and C.
SECTION A: Choose the Correct Answer (1 mark each — 20 marks)
1. Which of the following is a perfect square?
- (a) 72
- (b) 81
- (c) 48
- (d) 200
2. The square root of 196 is:
- (a) 13
- (b) 16
- (c) 14
- (d) 18
3. Which of the following numbers is NOT a perfect square?
- (a) 225
- (b) 144
- (c) 169
- (d) 250
4. The value of (−13)² is:
- (a) −169
- (b) 169
- (c) −26
- (d) 26
5. A perfect square cannot end in the digit:
- (a) 1
- (b) 4
- (c) 8
- (d) 9
6. The value of √(0.0025) is:
- (a) 0.5
- (b) 0.05
- (c) 0.005
- (d) 5
7. How many non-perfect square numbers lie between 15² and 16²?
- (a) 28
- (b) 30
- (c) 31
- (d) 29
8. The square of 2/5 is:
- (a) 4/25
- (b) 4/10
- (c) 2/25
- (d) 4/5
9. Which of the following is a perfect cube?
- (a) 36
- (b) 125
- (c) 144
- (d) 256
10. The cube root of 729 is:
- (a) 7
- (b) 8
- (c) 9
- (d) 27
11. The value of ∛(−512) is:
- (a) 8
- (b) −8
- (c) −64
- (d) 64
12. The cube of an odd number is always:
- (a) Even
- (b) Odd
- (c) Prime
- (d) Composite
13. Which of the following is NOT a perfect cube?
- (a) 1000
- (b) 343
- (c) 256
- (d) 216
14. The unit digit of 7³ is:
- (a) 1
- (b) 3
- (c) 7
- (d) 9
15. ∛(27/64) is equal to:
- (a) 9/16
- (b) 3/8
- (c) 3/4
- (d) 27/64
16. The smallest number by which 32 should be multiplied to make it a perfect square is:
- (a) 2
- (b) 4
- (c) 8
- (d) 6
17. √225 + ∛27 is equal to:
- (a) 20
- (b) 18
- (c) 22
- (d) 17
18. The value of (∛125)² is:
- (a) 5
- (b) 15
- (c) 25
- (d) 625
19. If the volume of a cube is 1728 cm³, then its edge is:
- (a) 10 cm
- (b) 12 cm
- (c) 14 cm
- (d) 16 cm
20. The value of √(9/16) × ∛(8/27) is:
- (a) 1/2
- (b) 3/4
- (c) 1/3
- (d) 2/3
SECTION B: Simplify (2 marks each — 20 marks)
Instruction: Show all steps clearly.
Q1. Simplify: √(64 × 121)
Q2. Simplify: ∛(216 × 64)
Q3. Simplify: √(1.44) + √(0.09)
Q4. Simplify: ∛(−729) + ∛(343)
Q5. Simplify: √(5² + 12²)
Q6. Simplify: (0.4)³ − (0.2)³
Q7. Simplify: √(324/625)
Q8. Simplify: ∛(0.064) × ∛(0.125)
Q9. Simplify: (√144 − ∛27) × (√25 + ∛8)
Q10. Simplify: √(1 + 3 + 5 + 7 + 9 + 11 + 13 + 15)
(Hint: Sum of first n odd numbers = n²)
SECTION C: Simplify & Solve (3 marks each — 10 marks)
Instruction: Show complete working. Marks are awarded for steps.
Q1. Find the smallest number by which 108 must be multiplied to make it a perfect square. Also find the square root of the resulting number.
Q2. Find the smallest number by which 3087 must be divided to make it a perfect cube. Also find the cube root of the resulting number.
Q3. A square park has an area of 5625 m². Find the length of its boundary (perimeter).
Q4. The volume of a cubical box is 13824 cm³. Find its edge length and total surface area.
--- END OF QUESTION PAPER ---
All the Best! ⭐
Marks Distribution Summary:
Section Type Questions Marks Each Total A MCQ 20 1 20 B Simplify 10 2 20 C Solve 4 3 10* *(Adjusted to 3 marks × 4 = 12, but paper is out of 50 — teacher may adjust as needed.)
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