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1. Mark (3) for the number which is a perfect square. CHAPTER

27 ( ) 32 ( ) 18 ( ) 4 ( )
3
81 ( ) 8 ( ) 125 ( ) 49 ( )
2. Copy and complete the operation steps below by filling up the empty boxes with
suitable numbers.

11
3
1 – (– 0.1) = – (– 0.1) 3
25 25

= – ( )
5
=

3. The diagram shows a square drawn by Siti. She claims that

the length of the side of the square is 8 units. Show how
you would validate Siti’s answer.

4.
2
A helicopter landing pad is a square and has an area of 400 m . Use the prime
factorisation method to find the length of the side of the landing pad.

5. 512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2)

(a) Based on the mathematical statement above, Fong Yee states that 512 is a perfect
cube. Explain how you would support Fong Yee’s answer.
(b) Fong Yee also states that 512 is not a perfect square. Explain the reason Fong
Yee said so.
6. Mohan used a can of paint to paint a square backdrop. A can of paint could cover the
2
entire backdrop of 38 m . Estimate the length of the side of the backdrop.
7. A big cube with a side length of 30 cm is cut into 27 small cubes of the same size.
Find
(a) the length of the side of each small cube,
(b) the area of the top surface of each small cube.

71
Squares, Square Roots, Cubes and Cube Roots

03 TB Math F1.indd 71 11/10/16 12:10 PM