f2 math exercise

1. WAJA Mathematics PMR
SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS
Skill A: Squares of Numbers
1. Write in expanded form,
(a) 42
= X (b) (1
4
1
)2
= X
2. Write the index form of
(a) 0.36 X 0.36 = (b) (- 2.5) X (- 2.5) =
3. Find the value of the following without using a scientific calculator.
(a) 52
= X =
(b) ( - 3)2
= X =
(c) 0.62
= X =
(d) [
4
3
]2
= X =
4. Estimate the value of the following.
(a) 7.82
≈ = =
(b) 30.12
≈ = =
(c) 1.042
≈ = =
(d) 0.0992
≈ = =
5. Use a scientific calculator to evaluate the following, correct to 3 decimal places where
necessary.
(a) 63.212
=
(b) 124.562
=
(c) - 1.01352
=
(d) ( 2
4
3
)2
=
6. Complete the table below to get the first ten perfect squares.
12
22
32
42
52
62
72
82
92
102
Skill B: Square Roots of Positive Numbers
Page 1 of 5
When a number is squared, the number is multiplied by itself.
The square root of a positive number
is the number when multiplying by
itself equals to the given number.
82
8 X 8

2. WAJA Mathematics PMR
1(a) Since 122
= 144. Thus 144 =
(b) Since 1.52
= 2.25. Thus 25.2 =
(c) Since (
4
3
)2
=
16
9
. Thus 





16
9
=
2. Evaluate each of the following without using a calculator.
(a) 25 = (b) 81 =
(c) 





81
49
= (d) 





25
11
1 =
3. Find the product of each of the following.
(a) 2 X 2 = =
(b) 5.2 X 5.2 =
(c) 002.0 X 002.0 =
(d)
7
4
2 X
7
4
2 =
(e) 2 X 8 = =
(f) 3 X 12 = =
4. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 90 =
(b) 1200 =
(c) 52.45 =
(d) 0345.0 =
(e)
12
7
4 =
5. Complete the table below.
1 4 9 16 25 36 49 64 81 100
Skill C: Cubes of Numbers
1.Complete the following.
(a) 53
= X X
Page 2 of 5
The cube of a number is the product of the
number multiplied by itself three times.
4
√

3. WAJA Mathematics PMR
(b) 1.33
= X X
(c) ( 2
5
1
) X ( 2
5
1
) X ( 2
5
1
) =
2. Find the value of the following without using a calculator.
(a) 43
= X X =
(b) 103
= X X =
(c) ( - 1)3
= X X =
(d) (
3
2
)3
= X X =
3. Estimate the value of the following.
(a) 2.33
≈ =
(b) 4.853
≈ =
(c) 1.233
≈ =
(d) (- 0.98)3
≈ =
4. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 12.33
=
(b) ( - 14.51)3
=
(c) 2.003493
=
(d) ( 3
7
2
)3
=
5. Complete the table below to get the first ten perfect cubes.
13
23
33
43
53
63
73
83
93
103
Skill D: Cube Roots of Numbers
1(a) Since 43
= 64. Thus 3
64 =
(b) Since 0.53
= 0.125. Thus 3
125.0 =
Page 3 of 5
The cube root of a number is the
number when multiplied by itself
twice, equals to the given number.
23

4. WAJA Mathematics PMR
(c) Since (
5
3
)3
=
125
27
. Thus 3
125
27






=
2. Evaluate each of the following without using a calculator.
(a) 3
8 =
(b) ( )3 64− =
(c) 3
027.0 =
(d) 3
64
27






=
(e) 3
125
1






=
3. Evaluate the following using a scientific calculator, correct to 4 decimal places.
(a) 3
60 =
(b) 3
1320 =
(c) 3
52.54 =
(d) 3
0945.0 =
(e) 3
12
7
2 =
4. Solve the following problems.
(a) 3
125 + 3
27 = + =
(b) 3
216 - 3
8 = - =
(c) 3
343 - 3
512 + 3
1000 = - + =
5.Complete the table below.
3
1 3
8 3
27 3
64 3
125 3
216 3
343 3
512 3
729 3
1000
Mastery Practice
1. Write in expanded form,
(a) 5.62
=
(b) 0.423
=
2. Write the index form of
(a) (- 1.34) X (- 1.34) =
Page 4 of 5

5. WAJA Mathematics PMR
(b) (
7
3
) X (
7
3
) X (
7
3
) =
3. Find the square root for each of the following.
(a) 8.2 X 8.2 =
(b) ( )123.0− X ( )123.0− =
4. Evaluate each of the following without using a calculator.
(a) 2 – 0.22
=
(b) - 27 + ( - 3)3
=
(c) 64 + 32
=
(d) 49 – 52
=
(e) 13
+ 3
125 - 22
=
(f) 22
34 + =
(g) 3
216 - ( - 4)2
=
(h) 3
64
27
+
16
1
=
5. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 10.12
– 2.33
=
(b) 3
167.12 + 56.3 =
(c) 2.452
- 67.34 + 3
89.54 =
(d) ( )3 78.0− + 564.0 - (- 0.23)2
=
(e) 3
756 ÷ 3.89 =
Page 5 of 5

6. WAJA Mathematics PMR
(b) (
7
3
) X (
7
3
) X (
7
3
) =
3. Find the square root for each of the following.
(a) 8.2 X 8.2 =
(b) ( )123.0− X ( )123.0− =
4. Evaluate each of the following without using a calculator.
(a) 2 – 0.22
=
(b) - 27 + ( - 3)3
=
(c) 64 + 32
=
(d) 49 – 52
=
(e) 13
+ 3
125 - 22
=
(f) 22
34 + =
(g) 3
216 - ( - 4)2
=
(h) 3
64
27
+
16
1
=
5. Evaluate the following using a scientific calculator, correct to 3 decimal places.
(a) 10.12
– 2.33
=
(b) 3
167.12 + 56.3 =
(c) 2.452
- 67.34 + 3
89.54 =
(d) ( )3 78.0− + 564.0 - (- 0.23)2
=
(e) 3
756 ÷ 3.89 =
Page 5 of 5