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Mathletics Instant
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Mathletics Instant
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Student Book - Series J-2
Indices and Surds
23, x3, y°, 3-1
Indices and surdsStudent Book - Series J 2
Contents
Topics
Topic 1 - Index laws __/__/__ Date completed
Topic 2 - Negative indices __/__/__ Topic 3 - Fractional indices __/__/__ Topic 4 - Scientific notation __/__/__ Topic 5 - Simplifying surds __/__/__ Topic 6 - Addition and subtraction of surds __/__/__
Topic 8 - Binomial products and conjugate surds __/__/__ Topic 9 - Rationalising the denominator __/__/__
Topic 7 - Multiplication and division of surds __/__/__
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Author of The Topics and Topic Tests: AS Kalra
Practice Tests
Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__
1
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Topic 1: Index laws
11Chapter 2: Indices and surds
Indices and surdsCHAPTER 2
UNIT 1: Index laws
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 22
QUESTION 1 Simplify the following leaving answers in index form.
a m m4 5× = _____________ b n n2 5× = ______________ c y y6 2× = ______________
d p p6 6× = ______________ e a a2 × = ______________ f a a a2 3× × = __________
g 4 2 3x x× = _____________ h 5 23 2x x× = ____________ i 6 3 2m m× = ____________
QUESTION 2 Simplify, giving answers in index form.
a x x9 6÷ = ______________ b y y8 5÷ = ______________ c a a7 5÷ = _____________
d 15 55 3m m÷ = __________ e 16 87 4n n÷ = ___________ f 36 98 6a a÷ = __________
g 24 86y y÷ = ____________ h x y x y6 3 4÷ = ___________ i a b a b7 6 4 3÷ = _________
QUESTION 3 Give the answers in simplest index form.
a 32 3( ) = ________________ b 23 2( ) = ________________ c x3 2( ) = _______________
d m3 4( ) = _______________ e a a3 2 4( ) × = ____________ f y y7 2 6( ) ÷ = ___________
g a a4 3 5 2( ) × ( ) = __________ h x5 6( ) = ________________ i 2 3 4y( ) = ______________
QUESTION 4 Simplify the following.
a 4 0m = ________________ b 6 0m( ) = _______________ c 8 0n = ________________
d 5 80 0m m× ( ) = __________ e a b6 0 = ________________ f x2 0( ) = _______________
g 5 3 0y( ) = _______________ h a a7 7÷ = ______________ i 9 95 5x x÷ = ___________
QUESTION 5 Simplify the following, giving the answers in index form.
a a a7 2÷ =_______________ b a a9 2× = ______________ c a5 4( ) = _______________
d 9 3 2x( ) = _______________ e 27 93x x÷ = ____________ f 7 42 2a b a b× = _________
g m n m n2 3 4 3× = __________ h 24 123 6 2 4x y x y÷ = _______ i 9 32x y xy× = ___________
j 9 94 2x y xy÷ = __________ k 36 187 9 5 7x y x y÷ =________ l 8 2 2x( ) = ______________
2
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
12 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsUNIT 2: Negative indices
QUESTION 1 Evaluate the following.
a 3 2− = _________________ b 2 3− = _________________ c 5 2− = ________________
d 4 3− = _________________ e 10 3− = ________________ f 8 2− = ________________
g 64 2 3× − = _____________ h 2 23 5− × = _____________ i 3 23 2− −× = ____________
j 7 2 0×( ) = _____________ k 3 2 1×( )− = _____________ l 5
3 2− = ________________
m 3
4
2
− = _______________ n 1
2
5
− = ______________ o 3 37 5− × = _____________
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 23
QUESTION 2 Write the following with positive indices.
a a−3 = _________________ b m−5 = ________________ c p q2 3− = ______________
d x y−7 6 = _______________ e 4 3 6p q− = ______________ f1
3y− = ________________
ga
b−2 = ________________ h1
2 5x y− = ______________ i x x3 5× − = ____________
j x x3 10÷ = _____________ k 10 3 9a a÷ = ____________ l xy( )−2 = ______________
m 5 2 3 2a b− −( ) = ____________ n a a− ×7 4 = _____________ o 4 2 2
a− −( ) = ____________
QUESTION 3 Simplify, giving your answer without negative indices.
a x x5 3× − = _____________________________ b x x3 5× − = ____________________________
c 5 25 2x x− −× = __________________________ d 6 22 1a a− −× = _________________________
e 8 46 4m m× − = __________________________ f 3 53 5a a− −× = _________________________
g 20 106 4m m− ÷ = ________________________ h 20 106 4x x− −÷ = _______________________
i 15 152 1a a− −÷ = _________________________ j 5 1 2x−( ) = _____________________________
k 8 3 2x−( ) = ______________________________ l 2 6 2
a− −( ) = ____________________________
Topic 2: Negative indices
3
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
13Chapter 2: Indices and surds
Indices and surdsUNIT 3: Fractional indices
QUESTION 1 Evaluate the following.
a 91
2 = __________________ b 161
4( ) = _____________ c 271
3( ) = _______________
d 1001
2( ) = ______________ e 6251
2( ) = ______________ f 1251
3( ) = ______________
g 82
3 = __________________ h 322
5( ) = _______________ i 811
4( ) = _______________
j 251
2−
= ________________ k 361
2−
= ________________ l 641
3−
= _______________
m 11
3 = __________________ n 11
3−
= _________________ o 491
2−
= _______________
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 23
QUESTION 2 Simplify the following.
a m61
2( ) = _______________ b 16 41
2p( ) = _____________ c x y3 31
3( ) = _____________
d 9 2 21
2m n( ) = ____________ e 8 31
3
2
3m m× = ___________ f 61
2
2
y
= _____________
g x y3 61
2( ) = ______________ h a a a1
3
1
3
1
3× × = __________ i m n2
3
2
3
3
×
= __________
j 81
3ab( ) = ______________ k 9 61
2
1
2x x× = ___________ l m21
4( ) = ______________
m 8 52
3
1
3a a× = ____________ n 27 6 61
3a b( ) = ___________ o m m m1
2
1
4
1
4× × = ________
QUESTION 3 Evaluate the following without using a calculator.
a 41
2 = _________________ b 81
3 = _________________ c 161
4 = ________________
d 271
3 = ________________ e 811
4 = _________________ f 1211
2 = _______________
g 10002
3 = _______________ h 642
3 = _________________ i 1254
3( ) = ______________
j 251
2
3
= ______________ k 64
1
2−
= ________________ l 811
4−
= _______________
Topic 3: Fractional indices
4
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
14 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsUNIT 4: Scientific notation
QUESTION 1 Express the following in scientific notation.
a 350 = _________________________________ b 2500 = _______________________________
c 15 000 = _______________________________ d 386 000 = _____________________________
e 500 000 = ______________________________ f 856 = ________________________________
g 9500 = ________________________________ h 3687 = _______________________________
i 864 300 = ______________________________ j 53 630 = ______________________________
k 9643 = ________________________________ l 83 000 = ______________________________
EXCEL YEARS 9 & 10 INTERMEDIATE MATHS
Page 75
QUESTION 2 Express the following in scientific notation.
a 0.007 = _______________________________ b 0.00098 = _____________________________
c 0.05 = ________________________________ d 0.00009 = _____________________________
e 0.528 = _______________________________ f 0.000681 = ____________________________
g 0.009 = _______________________________ h 0.6 = _________________________________
i 0.632 = _______________________________ j 0.001 = _______________________________
k 0.000007 = _____________________________ l 0.000835 = ____________________________
QUESTION 3 Write the basic numeral for the following.
a 3 7 102. × = _____________________________ b 8 5 104. × = ____________________________
c 4 95 103. × = ____________________________ d 7 89 105. × = ___________________________
e 2 57 105. × = ____________________________ f 1 7 104. × = ____________________________
g 3 08 10 2. × − = ___________________________ h 4 6 10 3. × − = ___________________________
i 9 7 10 4. × − = ____________________________ j 2 39 10 2. × − = __________________________
QUESTION 4 Use your calculator to answer the following correct to 3 significant figures.
a 1 2 10 2 3 103 4. .×( ) × ×( ) = _________________ b 2 10 2 5 104 3×( ) × ×( ). = __________________
c 4 9 1 8 103. .× ×( ) = _______________________ d 5 9 10 2 3 105 3. .×( ) ÷ ×( ) = ________________
e 8 5 10 6 3 102 1. .×( ) × ×( )− = ________________ f 8 1 10 6 3 102 4. .× × ×− = __________________
g 4 5 10 3 2 105 3. .×( ) × ×( ) = _________________ h 5 6 10 2 8 104 2. .×( ) ÷ ×( ) = ________________
Topic 4: Scientific notation
5
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
15Chapter 2: Indices and surds
Indices and surdsUNIT 5: Simplifying surds
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 18
QUESTION 2 Write the following surds in simplest form.
a 54 = ________________ b 150 = _______________ c 96 = _______________
d 160 = _______________ e 450 = _______________ f 125 = _______________
g 63 = ________________ h 108 = _______________ i 192 = _______________
j 288 = _______________ k 162 = _______________ l 243 = _______________
QUESTION 1 Simplify the following surds.
a 8 = _________________ b 12 = ________________ c 18 = _______________
d 24 = ________________ e 28 = ________________ f 50 = _______________
g 40 = ________________ h 44 = ________________ i 75 = _______________
j 48 = ________________ k 27 = ________________ l 32 = _______________
m 72 = ________________ n 98 = ________________ o 242 = _______________
QUESTION 3 Simplify the following surds.
a 32( ) = _______________ b 5
2( ) = _______________ c 82( ) = ______________
d 92( ) = _______________ e 200 = _______________ f − 12 = ______________
g x2 = ________________ h 9 2x = _______________ i 18 2x = _____________
j 3 12 = _______________ k 4 18 = _______________ l 5 27 = _______________
m 3 18 = ________________ n 4 48 = _______________ o 2 54 = ______________
p 6 72 = _______________ q 16 4 6x y = ___________ r 7 56 = ______________
s 5 32 = ______________ t 3 162 = _____________ u 7 6x = ______________
v 3 8y = _______________ w 16 10m = ____________ x 28 4x = ______________
Topic 5: Simplifying surds
6
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
16 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsUNIT 6: Addition and subtraction of surds
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 19
QUESTION 1 Simplify the following by collecting like surds.
a 5 2 6 2+ = ___________________________ b 8 5 7 5+ = __________________________
c 6 3 9 3+ = ___________________________ d 8 5 4 5− = __________________________
e 9 3 4 3 2 3+ − = _____________________ f 12 2 6 2 5 2+ − = ____________________
g 2 3x x+ = __________________________ h 5 6 3y y y+ − = _____________________
i 8 15 7m m m+ − = ___________________ j 16 3 7 3 2 3− + = ____________________
k 11 3 15 3 16 3+ − = ___________________ l 3 2a x a x+ = ________________________
QUESTION 2 Simplify the following.
a 2 3 5 2 8 3+ + = _____________________ b 3 7 5 7 2 11+ − = ____________________
c 3 3 6 2 7 3 4 2+ − − = ________________ d 8 5 2 3 5 5 8 3− − + = ________________
e 9 2 6 2 5 2− + =______________________ f 6 3 2 3 3− + = ______________________
g 2 5 2 5− = ___________________________ h 8 3 7 3+ = __________________________
i 5 10 3 10 3− + = _____________________ j 4 5 8 5 7 5− + = _____________________
k 9 2 8 2 6 3+ − = _____________________ l 4 7 6 7 3 7+ − = _____________________
m 2 12 2 2+ − = ______________________ n 8 3 11 3 3 5+ − = ____________________
QUESTION 3 Simplify.
a 8 18+ = ____________________________ b 90 160+ = _________________________
c 27 75+ = ___________________________ d 54 24− = __________________________
e 48 27− = ___________________________ f 81 96− = __________________________
g 18 50+ = ___________________________ h 3 24 2 96− = ________________________
i 12 3 72+ = __________________________ j 5 125 20+ − = _____________________
k 12 4 48+ = __________________________ l 8 32 18+ − = ______________________
m 20 45 75+ − =______________________ n 242 162 18− + = ___________________
Topic 6: Addition and subtraction of surds
7
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
17Chapter 2: Indices and surds
Indices and surdsUNIT 7: Multiplication and division of surds
QUESTION 3 Expand and simplify.
a 2 7 3+( ) = _________________________ b 3 5 3+( ) = ________________________
c 5 5 3+( ) = _________________________ d 7 3 7 2−( ) = _________________________
e 5 5 3−( ) = ___________________________ f 2 3 2 2−( ) = _______________________
g 3 5 2 3−( ) = ________________________ h 3 2 5 7−( ) = _______________________
i 2 11 2 7+( ) =________________________ j 5 2 3+( ) = ________________________
k 11 2 3 6 11−( ) = _____________________ l 5 5 3+( ) = _________________________
m 2 3 2 8+( ) = _________________________ n 5 3 6 5+( ) = ___________________________
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 19
QUESTION 2 Simplify these divisions.
a 12 3÷ = ____________________________ b 15 5÷ = ___________________________
c 8 2÷ = _____________________________ d 48 3÷ = ___________________________
e 32 8÷ = ____________________________ f 72 2÷ = ___________________________
g 8 5 5÷ = ____________________________ h 25 3 5 3÷ = _________________________
i 50 7 10 7÷ = _________________________ j 18 8 2 8÷ = _________________________
k 50 5÷ = _____________________________ l 27 9÷ = ___________________________
m 10 18 5 2÷ = _________________________ n 28 5 7 5÷ = _________________________
QUESTION 1 Simplify these products.
a 2 3× = _____________________________ b 5 6× = ____________________________
c 2 7× = _____________________________ d 5 9× = ____________________________
e 3 11× = ____________________________ f 5 20× = ___________________________
g 3 27× = ____________________________ h 8 2× = ____________________________
i 2 3 4 3× = ___________________________ j 5 2 6 3× = __________________________
k 3 2 7 2× = ___________________________ l 5 6 2 8× = ___________________________
Topic 7: Multiplication and division of surds
8
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
18 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsUNIT 8: Binomial products and conjugate surds
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 20
QUESTION 1 Expand and simplify.
a 3 2 3 4+( ) +( ) = _____________________ b 5 2 3 7+( ) +( ) = ____________________
c 2 3 1 2 3 4+( ) −( ) = _____________________ d 5 3 2 3 4+( ) −( ) = _____________________
e 3 2 3 2 1+( ) +( ) = _____________________ f 7 3 5 2−( ) +( ) = ______________________
g 5 2 2 5 2+( ) −( ) = _____________________ h 2 11 2 11 1+( ) −( ) = ____________________
i 3 2 2 1+( ) +( ) = _____________________ j 7 2 3 5 2 2+( ) +( ) = __________________
k 2 3 3 2 3 1+( ) +( ) = ___________________ l 2 2 5 2 3+( ) −( ) = _____________________
QUESTION 2 Expand and simplify.
a 2 12
+( ) = ____________________________ b 2 3 32
+( ) = __________________________
c 5 72
+( ) = __________________________ d 3 52
−( ) = __________________________
e 3 12
−( ) = ____________________________ f 7 22
−( ) = __________________________
g 6 32
−( ) = ____________________________ h 2 3 52
+( ) = ___________________________
i 3 5 12
−( ) = ___________________________ j 2 32
+( ) = __________________________
k 3 22
−( ) = __________________________ l 2 5 3 22
+( ) = ________________________
m 2 5 12
+( ) = ___________________________ n 2 7 12
−( ) = ___________________________
QUESTION 3 Find the product of each pair of conjugate surds.
a 3 2 3 2+( ) −( ) = ___________________ b 7 2 7 2+( ) −( ) = ___________________c 9 2 7 9 2 7+( ) −( ) = ____________________ d 5 3 5 3+( ) −( ) = ___________________
e 11 7 11 7−( ) +( ) = __________________ f 3 2 3 3 2 3+( ) −( ) = ____________________
g 7 2 7 2−( ) +( ) = ______________________ h 5 5 5 5+( ) −( ) = ______________________
i 8 2 2 8 2 2−( ) +( ) = ____________________ j 2 11 5 2 11 5+( ) −( ) = __________________
k 3 7 3 3 7 3+( ) −( ) = _____________________ l 5 2 1 5 2 1−( ) +( ) = ____________________
m 3 6 7 3 6 7+( ) −( ) = ____________________ n 8 3 5 8 3 5+( ) −( ) = ____________________
Topic 8: Binomial products and conjugate surds
9
Indices and surds
Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
19Chapter 2: Indices and surds
Indices and surdsUNIT 9: Rationalising the denominator
EXCEL YEARS 9 & 10 ADVANCED MATHS
Pages 20–21
QUESTION 2 Simplify the following by rationalising the denominator.
a3
5 =_________________
b27
=_________________
c5
11 =_______________
d3
5 3 =________________
e2 1
2−
=______________
f3 53 7
=_______________
g5
2 2 =
_______________h
7
3 3 =________________
i9
5 5 =_______________
j182
=________________
k4 23 7
=________________
l2 1
5
+ =______________
m3 2
3+
=______________
n5 3
7−
=____________
o3 2 7
5
+ =
___________
QUESTION 1 Rationalise the denominator of the following.
a3
7 =_________________
b5
11 =________________
c5
2 =________________
d6
15 =________________
e7
5 =_________________
f2 3
7 =_______________
g3 2
5 =
________________h
2 73
=________________
i7 2
5 =
_______________
QUESTION 3 Rationalise the denominator of the following.
a1
2 1+ =______________________________
b1
3 1− =_____________________________
c1
5 1− =______________________________
d3
2 1− =_____________________________
e5
5 2+ =______________________________
f2
7 5− =____________________________
g3
5 2− =____________________________
h8
7 3− =____________________________
i1
2 3 8+ =_____________________________
j2
5 3− =_____________________________
k3
5 7+ =______________________________
l2
3 5+ =____________________________
Topic 9: Rationalising the denominator
20 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 2 23 4× =
A 212 B 27 C 412 D 47
2 3 2a− equals
A1
3 2a B32a C
−1
3 2a D−3
2a
3 2 2 3b( ) equals
A 6 5b B 6 6b C 8 6b D 8 8b
4 12 46 3m m÷ equals
A 3 3m B 3 2m C 8 3m D 8 2m
5a b
a b
6
2 2 equals
Aa
b
4
B a b4 Ca
b
3
D a b3
6 a a3 3+ equals
A a6 B a9 C 2 3a D 2 6a
7 If 2 find the value of 4 2 0 b b= ( ) .
A 4 2b B 8 C 0 D 1
8 Which of the following numbers is not a surd?
A 5 B 3 C 101 D − 49
942
=
A 2 2 B 4 2 C 2 D 2
10 Which of the following statements is true? I: a b ab× = , II : a b a + b+ =
A I only B II only C Both I and II D Neither
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Indices and surds
20 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Indices and surdsTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 2 23 4× =
A 212 B 27 C 412 D 47
2 3 2a− equals
A1
3 2a B32a C
−1
3 2a D−3
2a
3 2 2 3b( ) equals
A 6 5b B 6 6b C 8 6b D 8 8b
4 12 46 3m m÷ equals
A 3 3m B 3 2m C 8 3m D 8 2m
5a b
a b
6
2 2 equals
Aa
b
4
B a b4 Ca
b
3
D a b3
6 a a3 3+ equals
A a6 B a9 C 2 3a D 2 6a
7 If 2 find the value of 4 2 0 b b= ( ) .
A 4 2b B 8 C 0 D 1
8 Which of the following numbers is not a surd?
A 5 B 3 C 101 D − 49
942
=
A 2 2 B 4 2 C 2 D 2
10 Which of the following statements is true? I: a b ab× = , II : a b a + b+ =
A I only B II only C Both I and II D Neither
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Indices and surds
10Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Indices and surdsTopic Test PART A
Marks
Total marks achieved for PART A 10
Instructions This part consists of 10 multiple-choice questions Each question is worth 1 mark Attempt ALL questions Calculators are NOT to be used Fill in only ONE CIRCLE for each question
Time allowed: 15 minutes Total marks = 10
Instructions This part consists of 15 questions Each question is worth 1 marks Attempt ALL questions Calculators may be usedTime allowed: 20 minutes Total marks = 15
Questions Answers only
Total marks achieved for PART B 15
Marks
Indices and surdsTopic Test PART B
11Indices and surdsMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
21Chapter 2: Indices and surds
Indices and surdsTOPIC TEST SECTION 2
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
Marks
Total marks achieved for SECTION 230
Simplify the following:
1 2 3 3a( ) ___________________
2 16 83 2a a b÷ ___________________
3 25 612x( ) ___________________
4 5 3 80 0 2 0p p p+ ( ) + ( ) ___________________
5 n n8 2 3÷ ( ) ___________________
6 3 35 2× ___________________
7 12 46 4m m÷ ___________________
8x y zx y
3 2
2 ___________________
9ab
ab
2
( )2 ___________________
10 4 162 2 3xy y( ) ÷ ___________________
11 2 3 8 3 5 7 7+ − + ___________________
12 3 2 3× ___________________
13 20 45+ ___________________
14 Express 7 3 7+( ) in its simplest surd form. ___________________
15 Expand and simplify 5 2 3 5 2 3−( ) +( ) . ___________________
Questions Answers
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Indices and surds
21Chapter 2: Indices and surds
Indices and surdsTOPIC TEST SECTION 2
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
Marks
Total marks achieved for SECTION 230
Simplify the following:
1 2 3 3a( ) ___________________
2 16 83 2a a b÷ ___________________
3 25 612x( ) ___________________
4 5 3 80 0 2 0p p p+ ( ) + ( ) ___________________
5 n n8 2 3÷ ( ) ___________________
6 3 35 2× ___________________
7 12 46 4m m÷ ___________________
8x y zx y
3 2
2 ___________________
9ab
ab
2
( )2 ___________________
10 4 162 2 3xy y( ) ÷ ___________________
11 2 3 8 3 5 7 7+ − + ___________________
12 3 2 3× ___________________
13 20 45+ ___________________
14 Express 7 3 7+( ) in its simplest surd form. ___________________
15 Expand and simplify 5 2 3 5 2 3−( ) +( ) . ___________________
Questions Answers
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Indices and surds
21Chapter 2: Indices and surds
Indices and surdsTOPIC TEST SECTION 2
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
Marks
Total marks achieved for SECTION 230
Simplify the following:
1 2 3 3a( ) ___________________
2 16 83 2a a b÷ ___________________
3 25 612x( ) ___________________
4 5 3 80 0 2 0p p p+ ( ) + ( ) ___________________
5 n n8 2 3÷ ( ) ___________________
6 3 35 2× ___________________
7 12 46 4m m÷ ___________________
8x y zx y
3 2
2 ___________________
9ab
ab
2
( )2 ___________________
10 4 162 2 3xy y( ) ÷ ___________________
11 2 3 8 3 5 7 7+ − + ___________________
12 3 2 3× ___________________
13 20 45+ ___________________
14 Express 7 3 7+( ) in its simplest surd form. ___________________
15 Expand and simplify 5 2 3 5 2 3−( ) +( ) . ___________________
Questions Answers
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Indices and surds