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3.1 Open the folder downloaded from page vii for extra
questions of Mastery Q 3.1.
1. Determine whether each of the following numbers is a perfect square. Use the prime
factorisation method to support your answer.
(a) 216 (b) 1 000 (c) 1 024

2. The prime factorisation of 100 is 2 × 2 × 5 × 5. Explain how you could find the CHAPTER
square root of 100 by using the prime factorisation method.
3
3. Copy and complete each of the following based on the relationship between square
and square root.
is equal to 6 2 10 2 14 2 19 2 22 2
as as as as
36 100 196 361 484

484
196
361
36
100
is equal to     
as as as as
4. Find the value of each of the following without using a calculator.
1
2
2
(a) (– 6) 2 (b) 1 2 2 (c) – 4 1 2 2 (d) (–8.1)
7 3

(e) 361 (f) 9 (g) 2 14 (h) 
1.21
49 25
5. Calculate the value of each of the following by using a calculator. Give your answers
correct to two decimal places for (e) to (h).
(a) 127 (b) (–34.6) (c) 0.097 2 (d) 1 –2 5 2 2
2
2
8

(e) 76 (f)  (g) 11 (h) 2 3
108.4
28 5
6. A pyramid has a square base area of 52 900 m . Find the length of each side of the
2
base of the pyramid.

7. Estimate the value of each of the following:
2
2
(a) 297 (b) 51.9 (c) (– 0.038) (d) (–8.12) 2
2


(e) 14 (f ) 220 (g)  (h) 
0. 5
8. 3
8. A group of 100 members from a Cultural Club participated in the Malaysia Citrawarna
Parade. They made various formations throughout the parade.
(a) When the members of the cultural group made a formation in the shape of a
square, state the number of members in each row of the square.
(b) At a certain instance, the members of the group formed two squares simultaneously.
Determine the number of members in each row of each square.

57
Squares, Square Roots, Cubes and Cube Roots

03 TB Math F1.indd 57 11/10/16 12:09 PM