Chapter 2 Square Square Roots Cubes & Cubes Roots
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Chapter 2 Square Square Roots Cubes & Cubes Roots as PDF for free.
More details
- Words: 2,482
- Pages: 23
Module PMR
CHAPTER 2 SQUARES,SQUARE ROOTS.CUBES AND CUBE ROOTS A. SQUARES -
a number multiply by itself a2 = a × a examples : a). 22 = 2 × 2 = 4 b). ( - 4 )2 = ( -4 ) × ( -4 ) = 16 3 3 3 9 c). ( ) 2 = ( ) × ( ) = 5 5 5 25 d). ( 0.3 )2 = 0.3 × 0.3 = 0.09
-
the square of any number is greater than zero and is always positive.
B. SQUARE ROOTS -
-
-
the square roots of any number is the number when multiplied by itself, equals to the given number.(inverse operation of squaring that number) If x = a2, then x = a 2 = a × a = a examples : a). 9 = 3 × 3 = 3 2× 2 2 = 3× 3 3
b).
4 = 9
c).
0.36 = 0.6 × 0.6 = 0.6
some fractions are required to reduce to the lowest terms in order to find the square roots. examples: 8 4 2× 2 2 a). = = = 18 9 3× 3 3
-
to find the square roots of a mixed number, change the mixed number into an improper fraction. example : 11 36 6×6 6 a). 1 = = = 25 25 5× 5 5
-
The square root of negative numbers do not exist
Squares, Square Roots,Cubes & Cube Roots 10
Module PMR
SQUARES
SQUARE ROOTS
12 = 1
1 = 1
22 = 4
4 = 2
32 = 9
9 = 3
42 = 16
16 = 4
52 = 25
25 = 5
62 = 36
36 = 6
72 = 49
49 = 7
82 = 64
64 = 8
92 = 81
81 = 9
102 = 100
100 = 10
112 = 121
121 = 11
122 = 144
144 = 12
132 = 169
169 = 13
142 = 196
196 = 14
152 = 225
225 = 15
162 = 256
256 = 16
172 = 289
289 = 17
182 = 324
324 = 18
192 = 361
361 = 19
202 = 400
400 = 20
Squares, Square Roots,Cubes & Cube Roots 11
Module PMR
C. CUBES -
a number multiply by itself twice a3 = a x a x a examples : a). 33 = 3 x 3 x 3 = 27 2 2 2 2 8 b). ( )3 = × × = 3 3 3 3 27 c). ( 0.2 )3 = 0.2 x 0.2 x 0.2 = 0.008 d). ( - 5 )3 = ( - 5 ) x ( - 5 ) x ( - 5 ) = - 125
- The cube of a positive number is positive - The cube of a negative number is negative.
D. CUBE ROOTS -
a number when multiply by itself twice, equal to the given number. a3 = 3 a × a × a = a examples : 3
a).
3
8 = 3 2× 2× 2 = 2
b).
3
8 2× 2× 2 2 =3 = 125 5×5×5 5
c).
3
0.216 = 3 0.6 × 0.6 × 0.6 = 0.6
d).
3
− 64 = 3 ( −4) × (−4) × (−4) = −4
- The cube root of a positive number is positive, the cube root of a negative number is negative.
Squares, Square Roots,Cubes & Cube Roots 12
Module PMR
CUBES
CUBE ROOTS
13 = 1
3
1 = 1
23 = 8
3
8 = 2
33 = 27
3
27 = 3
43 = 64
3
64 = 4
53 = 125
3
125 = 5
63 = 216
3
216 = 6
73 = 343
3
343 = 7
83 = 512
3
512 = 8
93 = 729
3
729 = 9
103 = 1000
Squares, Square Roots,Cubes & Cube Roots 13
3
1000 = 10
Module PMR
QUESTIONS : A. Find the value of the following. 1). 32 =
2). 62 =
3). 82 =
4). 92 =
5). 112 =
6). 122 =
7). ( - 2 )2 =
8). ( - 4 )2 =
9). ( - 5 )2 =
10). ( - 7 )2 =
11). ( - 9 )2 =
12). ( - 10 )2 =
2
2 14). = 5
2
1 16). 1 = 5
1 13). = 2
3 15). = 7 2
4 17). − = 9 2
2
2
2
1 18). − 1 = 3 2
2 19). − 3 = 3
7 20). = 12
21). ( 0.4 )2 =
22). ( 1.2 )2 =
23). ( - 0.3 )2 =
24). ( - 0.05 )2 =
Squares, Square Roots,Cubes & Cube Roots 14
Module PMR
B. Find the value of the following.
1).
4 =
2).
25 =
3).
64 =
4).
81 =
5). 100 =
6).
144 =
7).
225 =
8).
196 =
9).
1 = 64
10).
4 = 25
12).
1
11).
9 = 100
9 = 16
13). 1
14). 11
1 = 9
1 = 4
16).
50 = 162
46 = 49
18).
4
15).
12
17).
2
19.
7 = 9
0.64 =
21. 1.21 =
Squares, Square Roots,Cubes & Cube Roots 15
21 = 25
20.
0.0025 =
22.
2.25 =
Module PMR
C. Find the values of the following: 1). 23 =
2). 43 =
3). 73 =
4). ( - 5 )3 =
5). ( - 3 )3 =
6). 103 =
3
3 8). = 4
3
3
1 10). 1 = 4
2 7). = 5
3
1 9). = 6
3
3
2 11). − 1 = 3
7 12). − = 10
13). ( 0.1 )3 =
14). ( 0.6 )3 =
15). ( - 0.2 )3 =
16). ( - 0.03 )3 =
17). ( 1.2 )3 =
18). ( - 0.4 )3 =
Squares, Square Roots,Cubes & Cube Roots 16
Module PMR
D. Find the value of the following.
1).
3
8 =
2).
3
27 =
3).
3
216 =
4).
3
− 125 =
5).
3
− 512 =
6).
3
343 =
7).
3
− 1000 =
8).
3
1 = 8
9).
3
11).
13).
15).
27 = 64
3
3
3
10).
1000 = 125
12).
0.343 =
14).
− 0.064 =
16).
Squares, Square Roots,Cubes & Cube Roots 17
3
3
3
3
3
3 = 8
−1
61 = 64
0.000216 =
− 0.125 =
Module PMR
Common Errors. Questions
Errors
Correct Steps
1. a). Find the value 0f 3 − 125 .
a). (-5) x (-5) x (-5) or 5 P0
a). – 5
b).Calculate the value of 1 3 × − 64 2 . 8
1 b). × 4 8 1 = 2
2
1 b). × ( − 4 ) 8
2. a). Find the value of 3 0.216 .
K0
1 4
5 4 − 4 4
=
1 4
2
1m
1 1 = − × − 2 2 =
P0
b).Calculate the value of b). 5 − 13 3 4 25 16 − 1 . 5 1 − = 4 1 =
1 = − 2
N0
a). 0.006
Squares, Square Roots,Cubes & Cube Roots 18
2
2
1 1 = × 2 2 =
1m
1 4
1m
a). 0.6
1m
5 b). − 1 4
3
5 4 = − 4 4 K0
1 = 4
N0 =
1 64
3
3
1m
1m
Module PMR
3. a). Find the value of 3 1 − . 3
a). 1 1 1 − ×− ×− 3 3 3
1 a). − 27
1m
or
b). Calculate the value of ( − 2) 3 × 9 16
1 27
P0
b). 8 x
9 16
9 2 1 = 4 2
K0
=
N0
Questions based on PMR format 2
1 1. a). Find the value of . 3 b). Calculate the value of
2. a). Find the value of
(
)
3
36 − 8 .
0.008 . b). Calculate the value of 16 – 3
3
− 27 .
Squares, Square Roots,Cubes & Cube Roots 19
b). ( − 8) ×
3 4
= ( − 2) × 3
1m
= –6
1m
Module PMR
3. a). Find the value of
3
− 0.216 . 1 3 27 . − − 2 8
b). Calculate the value of
4. a). Find the value of
0.81 .
(
)
2
b). Calculate the value of 4.5 ÷ 3 27 .
5. a). Find the value of
343 . b). Calculate the value of 15 – 3
3
− 64 .
Squares, Square Roots,Cubes & Cube Roots 20
Module PMR 3
1 6. a). Find the value of − . 4 9 1 b). Calculate the value of . ÷ 64 16
24 . 25 b). Calculate the value of 92 + 122 .
7. a). Find the value of
1
8. a). Find the value of
7
1 . 9
(
)
2
b). Calculate the value of 33 − 144 .
Squares, Square Roots,Cubes & Cube Roots 21
Module PMR
9. a). Find the value of (- 0.4)2 . 2 b). Calculate the value of 5.5 ÷ 25 .
(
)
3
1 10. a). Find the value of − . 5 b). Calculate the value of 52 x
3
1 . 4 b). Calculate the value of 102 –
11. a). Find the value of
−
216 . 125
3
− 1000 .
20
Squares, Square Roots,Cubes & Cube Roots 22
Module PMR
12. a). Find the value of
3
0.216 .
b). Calculate the value of
(
0.81 + 0.3 .
)
−
27 . 8
( 3 marks )
)
( 3 marks )
2
PMR Past Years Questions 2004 a). Find the value of
3
0.512 .
b). Calculate the value of 42 x
3
2005 3
1 a). Find the value of − . 4
(
2
b). Calculate the value of 4.2 ÷ 3 27 .
Squares, Square Roots,Cubes & Cube Roots 23
Module PMR
2006 a). Find the value of
0.49 .
25 − 1 b). Calculate the value of 16
3
( 3 marks )
2007 a). Find the value of
3
− 64 . 3
1 b). Calculate the value of × 36 . 2
( 3 marks )
2008 a). Find the value of
3
−
1 . 27
(
)
2
b). Calculate the value of 16 − 81 .
Squares, Square Roots,Cubes & Cube Roots 24
( 3 marks )
Module PMR
CHAPTER 2 : SQUARES ROOTS,CUBES,&CUBE ROOTS ANSWERS A. 1). 9
2). 36
3). 64
4). 81
5). 121
6). 144
7). 4
8). 16
9). 25
10). 49
11). 81
12). 100
13).
1 4
14).
4 25
15).
9 49
16).
36 11 =1 25 25
17).
16 81
18).
16 7 =1 9 9
19).
121 4 = 13 9 9
20).
49 144
21). 0.16
22). 1.44
23). 0.09
24). 0.0025
Squares, Square Roots,Cubes & Cube Roots 25
Module PMR
B. 1). 2
2). 5
3). 8
4). 9
5). 10
6). 12
7). 15
8). 14
9).
1 8
2 5
10).
11).
3 10
12).
4 1 =1 3 3
13).
5 1 =1 4 4
14).
10 1 =3 3 3
15).
7 1 =3 2 2
16).
5 9
17).
12 5 =1 7 7
18).
11 1 =2 5 5
19). 0.8
20). 0.05
21). 1.1
22). 1.5
Squares, Square Roots,Cubes & Cube Roots 26
Module PMR
C. 1). 8
2). 64
3). 343
4). – 125
5). – 27
6). 1000
7).
8 125
8).
9).
1 216
10).
11). −
125 17 = −4 27 27
27 64 125 61 =1 64 64
12). −
343 1000
13). 0.001
14). 0.216
15). – 0.008
16). – 0.00027
17). 1.728
18). – 0.064
Squares, Square Roots,Cubes & Cube Roots 27
Module PMR
D. 1). 2
2). 3
3). 6
4). – 5
5). – 8
6). 7
7). – 10
9).
11).
3 4 10 =2 5
8).
1 2
10).
3 1 =1 2 2
12). −
3 1 = −1 2 2
13). 0.7
14). 0.5
15). – 0.4
16). – 0.5
Squares, Square Roots,Cubes & Cube Roots 28
Module PMR
No.
Marking Scheme
Squares, Square Roots,Cubes & Cube Roots 29
Marks
Module PMR
1.
1 9
1
b). ( - 2 )3
1
-8
1
a).
=3
2. a). 0.2
1
b). 16 + 3
1
19
1 =3
3. a). – 0.6
1
1 3 + 2 2
1
4 =2 2
1
b).
=3
4. a). 0.9
1
b). ( 1.5 )2
1
2.25
1 =3
5. a). 7
1
b). 15 + 4
1
19
1 =3
6.
1 64
1
3 4 × 8 1
1
3 1 =1 2 2
1
a). −
b).
7. Squares, Square Roots,Cubes & Cube Roots 30
=3
Module PMR
a). b).
8.
7 2 =1 5 5 225
1 1 1 =3
15 8 2 =2 a). 3 3
1
b). 152
1
225
1 =3
9. a). 0.16
1
b). ( 1.1)2
1
1.21
1 =3
10.
a). −
1 125
1
b).
6 25 × − 5
1
- 30
1 =3
11.
a).
9 1 =4 2 2
1
b). 100 + 10
1
110
1
a). 0.6
1
b). ( 1.2 )2
1
=3
12.
1.44
1 =3
2004 Squares, Square Roots,Cubes & Cube Roots 31
Module PMR
a). 0.8
1
b). 16 × −
2005
3 2
1
- 24
1
1 64
1
a). −
b). ( 1.4)2 1.96
=3
1 1 =3
2006 a). 0.7 1 b). 4
1 3
1
1 64
1
a). – 4
1
b). ( 3 )3
1
=3
2007
27
1 =3
2008
1 a). − 3
1
b). 72
1
49
1
Squares, Square Roots,Cubes & Cube Roots 32
=3
CHAPTER 2 SQUARES,SQUARE ROOTS.CUBES AND CUBE ROOTS A. SQUARES -
a number multiply by itself a2 = a × a examples : a). 22 = 2 × 2 = 4 b). ( - 4 )2 = ( -4 ) × ( -4 ) = 16 3 3 3 9 c). ( ) 2 = ( ) × ( ) = 5 5 5 25 d). ( 0.3 )2 = 0.3 × 0.3 = 0.09
-
the square of any number is greater than zero and is always positive.
B. SQUARE ROOTS -
-
-
the square roots of any number is the number when multiplied by itself, equals to the given number.(inverse operation of squaring that number) If x = a2, then x = a 2 = a × a = a examples : a). 9 = 3 × 3 = 3 2× 2 2 = 3× 3 3
b).
4 = 9
c).
0.36 = 0.6 × 0.6 = 0.6
some fractions are required to reduce to the lowest terms in order to find the square roots. examples: 8 4 2× 2 2 a). = = = 18 9 3× 3 3
-
to find the square roots of a mixed number, change the mixed number into an improper fraction. example : 11 36 6×6 6 a). 1 = = = 25 25 5× 5 5
-
The square root of negative numbers do not exist
Squares, Square Roots,Cubes & Cube Roots 10
Module PMR
SQUARES
SQUARE ROOTS
12 = 1
1 = 1
22 = 4
4 = 2
32 = 9
9 = 3
42 = 16
16 = 4
52 = 25
25 = 5
62 = 36
36 = 6
72 = 49
49 = 7
82 = 64
64 = 8
92 = 81
81 = 9
102 = 100
100 = 10
112 = 121
121 = 11
122 = 144
144 = 12
132 = 169
169 = 13
142 = 196
196 = 14
152 = 225
225 = 15
162 = 256
256 = 16
172 = 289
289 = 17
182 = 324
324 = 18
192 = 361
361 = 19
202 = 400
400 = 20
Squares, Square Roots,Cubes & Cube Roots 11
Module PMR
C. CUBES -
a number multiply by itself twice a3 = a x a x a examples : a). 33 = 3 x 3 x 3 = 27 2 2 2 2 8 b). ( )3 = × × = 3 3 3 3 27 c). ( 0.2 )3 = 0.2 x 0.2 x 0.2 = 0.008 d). ( - 5 )3 = ( - 5 ) x ( - 5 ) x ( - 5 ) = - 125
- The cube of a positive number is positive - The cube of a negative number is negative.
D. CUBE ROOTS -
a number when multiply by itself twice, equal to the given number. a3 = 3 a × a × a = a examples : 3
a).
3
8 = 3 2× 2× 2 = 2
b).
3
8 2× 2× 2 2 =3 = 125 5×5×5 5
c).
3
0.216 = 3 0.6 × 0.6 × 0.6 = 0.6
d).
3
− 64 = 3 ( −4) × (−4) × (−4) = −4
- The cube root of a positive number is positive, the cube root of a negative number is negative.
Squares, Square Roots,Cubes & Cube Roots 12
Module PMR
CUBES
CUBE ROOTS
13 = 1
3
1 = 1
23 = 8
3
8 = 2
33 = 27
3
27 = 3
43 = 64
3
64 = 4
53 = 125
3
125 = 5
63 = 216
3
216 = 6
73 = 343
3
343 = 7
83 = 512
3
512 = 8
93 = 729
3
729 = 9
103 = 1000
Squares, Square Roots,Cubes & Cube Roots 13
3
1000 = 10
Module PMR
QUESTIONS : A. Find the value of the following. 1). 32 =
2). 62 =
3). 82 =
4). 92 =
5). 112 =
6). 122 =
7). ( - 2 )2 =
8). ( - 4 )2 =
9). ( - 5 )2 =
10). ( - 7 )2 =
11). ( - 9 )2 =
12). ( - 10 )2 =
2
2 14). = 5
2
1 16). 1 = 5
1 13). = 2
3 15). = 7 2
4 17). − = 9 2
2
2
2
1 18). − 1 = 3 2
2 19). − 3 = 3
7 20). = 12
21). ( 0.4 )2 =
22). ( 1.2 )2 =
23). ( - 0.3 )2 =
24). ( - 0.05 )2 =
Squares, Square Roots,Cubes & Cube Roots 14
Module PMR
B. Find the value of the following.
1).
4 =
2).
25 =
3).
64 =
4).
81 =
5). 100 =
6).
144 =
7).
225 =
8).
196 =
9).
1 = 64
10).
4 = 25
12).
1
11).
9 = 100
9 = 16
13). 1
14). 11
1 = 9
1 = 4
16).
50 = 162
46 = 49
18).
4
15).
12
17).
2
19.
7 = 9
0.64 =
21. 1.21 =
Squares, Square Roots,Cubes & Cube Roots 15
21 = 25
20.
0.0025 =
22.
2.25 =
Module PMR
C. Find the values of the following: 1). 23 =
2). 43 =
3). 73 =
4). ( - 5 )3 =
5). ( - 3 )3 =
6). 103 =
3
3 8). = 4
3
3
1 10). 1 = 4
2 7). = 5
3
1 9). = 6
3
3
2 11). − 1 = 3
7 12). − = 10
13). ( 0.1 )3 =
14). ( 0.6 )3 =
15). ( - 0.2 )3 =
16). ( - 0.03 )3 =
17). ( 1.2 )3 =
18). ( - 0.4 )3 =
Squares, Square Roots,Cubes & Cube Roots 16
Module PMR
D. Find the value of the following.
1).
3
8 =
2).
3
27 =
3).
3
216 =
4).
3
− 125 =
5).
3
− 512 =
6).
3
343 =
7).
3
− 1000 =
8).
3
1 = 8
9).
3
11).
13).
15).
27 = 64
3
3
3
10).
1000 = 125
12).
0.343 =
14).
− 0.064 =
16).
Squares, Square Roots,Cubes & Cube Roots 17
3
3
3
3
3
3 = 8
−1
61 = 64
0.000216 =
− 0.125 =
Module PMR
Common Errors. Questions
Errors
Correct Steps
1. a). Find the value 0f 3 − 125 .
a). (-5) x (-5) x (-5) or 5 P0
a). – 5
b).Calculate the value of 1 3 × − 64 2 . 8
1 b). × 4 8 1 = 2
2
1 b). × ( − 4 ) 8
2. a). Find the value of 3 0.216 .
K0
1 4
5 4 − 4 4
=
1 4
2
1m
1 1 = − × − 2 2 =
P0
b).Calculate the value of b). 5 − 13 3 4 25 16 − 1 . 5 1 − = 4 1 =
1 = − 2
N0
a). 0.006
Squares, Square Roots,Cubes & Cube Roots 18
2
2
1 1 = × 2 2 =
1m
1 4
1m
a). 0.6
1m
5 b). − 1 4
3
5 4 = − 4 4 K0
1 = 4
N0 =
1 64
3
3
1m
1m
Module PMR
3. a). Find the value of 3 1 − . 3
a). 1 1 1 − ×− ×− 3 3 3
1 a). − 27
1m
or
b). Calculate the value of ( − 2) 3 × 9 16
1 27
P0
b). 8 x
9 16
9 2 1 = 4 2
K0
=
N0
Questions based on PMR format 2
1 1. a). Find the value of . 3 b). Calculate the value of
2. a). Find the value of
(
)
3
36 − 8 .
0.008 . b). Calculate the value of 16 – 3
3
− 27 .
Squares, Square Roots,Cubes & Cube Roots 19
b). ( − 8) ×
3 4
= ( − 2) × 3
1m
= –6
1m
Module PMR
3. a). Find the value of
3
− 0.216 . 1 3 27 . − − 2 8
b). Calculate the value of
4. a). Find the value of
0.81 .
(
)
2
b). Calculate the value of 4.5 ÷ 3 27 .
5. a). Find the value of
343 . b). Calculate the value of 15 – 3
3
− 64 .
Squares, Square Roots,Cubes & Cube Roots 20
Module PMR 3
1 6. a). Find the value of − . 4 9 1 b). Calculate the value of . ÷ 64 16
24 . 25 b). Calculate the value of 92 + 122 .
7. a). Find the value of
1
8. a). Find the value of
7
1 . 9
(
)
2
b). Calculate the value of 33 − 144 .
Squares, Square Roots,Cubes & Cube Roots 21
Module PMR
9. a). Find the value of (- 0.4)2 . 2 b). Calculate the value of 5.5 ÷ 25 .
(
)
3
1 10. a). Find the value of − . 5 b). Calculate the value of 52 x
3
1 . 4 b). Calculate the value of 102 –
11. a). Find the value of
−
216 . 125
3
− 1000 .
20
Squares, Square Roots,Cubes & Cube Roots 22
Module PMR
12. a). Find the value of
3
0.216 .
b). Calculate the value of
(
0.81 + 0.3 .
)
−
27 . 8
( 3 marks )
)
( 3 marks )
2
PMR Past Years Questions 2004 a). Find the value of
3
0.512 .
b). Calculate the value of 42 x
3
2005 3
1 a). Find the value of − . 4
(
2
b). Calculate the value of 4.2 ÷ 3 27 .
Squares, Square Roots,Cubes & Cube Roots 23
Module PMR
2006 a). Find the value of
0.49 .
25 − 1 b). Calculate the value of 16
3
( 3 marks )
2007 a). Find the value of
3
− 64 . 3
1 b). Calculate the value of × 36 . 2
( 3 marks )
2008 a). Find the value of
3
−
1 . 27
(
)
2
b). Calculate the value of 16 − 81 .
Squares, Square Roots,Cubes & Cube Roots 24
( 3 marks )
Module PMR
CHAPTER 2 : SQUARES ROOTS,CUBES,&CUBE ROOTS ANSWERS A. 1). 9
2). 36
3). 64
4). 81
5). 121
6). 144
7). 4
8). 16
9). 25
10). 49
11). 81
12). 100
13).
1 4
14).
4 25
15).
9 49
16).
36 11 =1 25 25
17).
16 81
18).
16 7 =1 9 9
19).
121 4 = 13 9 9
20).
49 144
21). 0.16
22). 1.44
23). 0.09
24). 0.0025
Squares, Square Roots,Cubes & Cube Roots 25
Module PMR
B. 1). 2
2). 5
3). 8
4). 9
5). 10
6). 12
7). 15
8). 14
9).
1 8
2 5
10).
11).
3 10
12).
4 1 =1 3 3
13).
5 1 =1 4 4
14).
10 1 =3 3 3
15).
7 1 =3 2 2
16).
5 9
17).
12 5 =1 7 7
18).
11 1 =2 5 5
19). 0.8
20). 0.05
21). 1.1
22). 1.5
Squares, Square Roots,Cubes & Cube Roots 26
Module PMR
C. 1). 8
2). 64
3). 343
4). – 125
5). – 27
6). 1000
7).
8 125
8).
9).
1 216
10).
11). −
125 17 = −4 27 27
27 64 125 61 =1 64 64
12). −
343 1000
13). 0.001
14). 0.216
15). – 0.008
16). – 0.00027
17). 1.728
18). – 0.064
Squares, Square Roots,Cubes & Cube Roots 27
Module PMR
D. 1). 2
2). 3
3). 6
4). – 5
5). – 8
6). 7
7). – 10
9).
11).
3 4 10 =2 5
8).
1 2
10).
3 1 =1 2 2
12). −
3 1 = −1 2 2
13). 0.7
14). 0.5
15). – 0.4
16). – 0.5
Squares, Square Roots,Cubes & Cube Roots 28
Module PMR
No.
Marking Scheme
Squares, Square Roots,Cubes & Cube Roots 29
Marks
Module PMR
1.
1 9
1
b). ( - 2 )3
1
-8
1
a).
=3
2. a). 0.2
1
b). 16 + 3
1
19
1 =3
3. a). – 0.6
1
1 3 + 2 2
1
4 =2 2
1
b).
=3
4. a). 0.9
1
b). ( 1.5 )2
1
2.25
1 =3
5. a). 7
1
b). 15 + 4
1
19
1 =3
6.
1 64
1
3 4 × 8 1
1
3 1 =1 2 2
1
a). −
b).
7. Squares, Square Roots,Cubes & Cube Roots 30
=3
Module PMR
a). b).
8.
7 2 =1 5 5 225
1 1 1 =3
15 8 2 =2 a). 3 3
1
b). 152
1
225
1 =3
9. a). 0.16
1
b). ( 1.1)2
1
1.21
1 =3
10.
a). −
1 125
1
b).
6 25 × − 5
1
- 30
1 =3
11.
a).
9 1 =4 2 2
1
b). 100 + 10
1
110
1
a). 0.6
1
b). ( 1.2 )2
1
=3
12.
1.44
1 =3
2004 Squares, Square Roots,Cubes & Cube Roots 31
Module PMR
a). 0.8
1
b). 16 × −
2005
3 2
1
- 24
1
1 64
1
a). −
b). ( 1.4)2 1.96
=3
1 1 =3
2006 a). 0.7 1 b). 4
1 3
1
1 64
1
a). – 4
1
b). ( 3 )3
1
=3
2007
27
1 =3
2008
1 a). − 3
1
b). 72
1
49
1
Squares, Square Roots,Cubes & Cube Roots 32
=3
Related Documents
Square Roots
June 2020 18
Square Roots And Cube Roots
June 2020 28
Combining Square Roots
June 2020 9
