Worksheets › Class 8 › A Square and A Cube
Class 8 A Square and A Cube worksheet
CBSE Mathematics. Perfect squares and cubes, square and cube roots by prime factorisation, estimating roots, patterns, 1729. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
√784 equals:
- 29
- 28
- 26
- 392
Answer
(b) 28
28 × 28 = 784
- 2.
11³ equals:
- 1331
- 121
- 33
- 1342
Answer
(a) 1331
11 × 11 × 11
- 3.
A number that is the square of a whole number is called a:
- perfect cube
- prime number
- perfect square
- triangular number
Answer
(c) perfect square
Section B · short answer
- 4.
Find √64 using prime factorisation.
Answer
8
64 = 2⁶; halve each power: 2³ = 8
- 5.
Find ∛1728 using prime factorisation.
Answer
12
1728 = 2⁶ × 3³; divide each power by 3: 2² × 3 = 12
Section C · long answer
- 6.
A square garden has an area of 3844 m². How long is each side, and how much fencing goes all round it?
Answer
62 m; 248 m
√3844 = 62; 4 × 62
Fresh sheets for your child
In the app, every A Square and A Cube sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.