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Mathematics
Faculty
Credit Level
Past Paper
Questions
(By Topic)
2 | P a g e
FORMULAE LIST
The roots of ax2 + bx + c = 0 are x = a
acbb
2
)4( 2
Sine rule: CsinBsinAsin
cba
Cosine rule: a2 = b2 + c2 2bc cos A or cos A = bc
acb
2
222
Area of a triangle: Area = ½ ab sin C
Volume of a sphere: Volume = 3
3
4r
Volume of a cone: Volume = hr 2
3
1
Volume of a cylinder: Volume = hr2
Standard deviation: s = 1
/)(
1
)( 222
n
nxx
n
xx, where n is the sample size.
3 | P a g e
Contents
Algebra 5
Area and Volume 15
Circles 26 Factorising 31
Functions 32 Numeracy 34
Percentages 37
Proportion and Variation 41 Pythagoras’ Theorem 44
Quadratics 51 Ratios 63
Scientific Notation 64 Sequences 66
Similarity 69
Simultaneous Equations 75 Speed, Distance and Time 81
Statistics and Probability 82 Straight Lines 90
Surds and Indices 98
Trigonometry 101
4 | P a g e
5 | P a g e
Algebra
20
01
P1
3
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02
P1
3
20
02
P1
1
2
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02
P1
2
20
02
P2
1
1
1
3
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03
P1
3
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20
03
P1
4
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03
P2
1
4
20
04
P1
2
20
04
P1
3
7 | P a g e
20
04
P2
3
4
20
05
P1
3
20
05
P1
2 3
8 | P a g e
20
06
P1
1
2
20
06
P1
3
20
06
P1
1
1
2
3
9 | P a g e
20
06
P2
1
2
2
20
07
P1
3
20
07
P1
3
20
07
P1
1
2
20
07
P2
2
20
08
P1
2
20
08
P1
2
10 | P a g e
20
08
P1
1
1 3
20
08
P1
1
1
2
11 | P a g e
20
08
P1
1
2
20
08
P1
3
12 | P a g e
20
08
P2
1 3
20
09
P1
1
2
2
20
09
P1
3
20
10
P1
3
13 | P a g e
20
10
P1
4
20
10
P2
2
20
11
P1
3
20
11
P2
3
20
11
P2
3
20
12
P1
2
14 | P a g e
20
12
P1
1
1
3
15 | P a g e
Area and Volume
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01
P2
4
20
02
P2
5
16 | P a g e
20
03
P1
4
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20
03
P2
2
3
20
04
P2
5
18 | P a g e
20
05
P1
5
20
05
P2
5
19 | P a g e
20
06
P1
1 3
20 | P a g e
20
06
P2
1
4
20
07
P2
2
4
21 | P a g e
20
07
P2
2 3
22 | P a g e
20
09
P2
4
20
09
P2
3 3
23 | P a g e
20
10
P1
4
20
10
P2
2
3
24 | P a g e
20
11
P2
2 3
20
11
P2
4
25 | P a g e
20
12
P2
4
26 | P a g e
Circles
20
04
P1
4
20
05
P2
4
4
27 | P a g e
20
06
P2
3
20
06
P2
4
28 | P a g e
20
07
P2
3
20
08
P2
1 4
29 | P a g e
20
09
P2
3 3
20
10
P2
3
30 | P a g e
20
11
P2
4
20
12
P2
3
31 | P a g e
Factorising
20
01
P1
3
20
02
P1
1
2
20
03
P1
2
20
06
P1
1
2
20
09
P1
1
2
2
32 | P a g e
Functions
20
01
P1
2
20
02
P1
2
20
02
P1
3
20
03
P1
1
2
20
05
P1
3 3
20
06
P1
2
20
09
P1
2 2
33 | P a g e
20
10
P1
2
2
20
11
P1
2
34 | P a g e
Numeracy Skills
20
01
P1
2
20
01
P1
2
20
02
P1
2
20
02
P1
2
20
03
P1
2
20
03
P1
2
20
04
P1
2
20
04
P1
3
20
05
P1
2
20
05
P1
3
20
06
P1
2
20
06
P1
2
35 | P a g e
20
07
P1
2
20
07
P1
2
20
08
P1
2
20
08
P1
2
20
09
P1
2
20
09
P1
2
20
10
P1
2
20
10
P1
2
20
11
P1
2
20
11
P1
2
20
11
P1
3
36 | P a g e
20
12
P1
2
20
12
P1
3
20
12
P1
3
37 | P a g e
Percentages
20
01
P2
3
20
02
P2
3
20
03
P2
4
20
04
P1
3
20
04
P2
3
20
05
P1
2
38 | P a g e
20
06
P2
3 2
00
7
P2
3
20
07
P2
3
20
08
P2
4
20
08
P2
3
20
09
P1
3
20
09
P2
4
39 | P a g e
20
10
P1
3 2
01
0
P2
4
20
11
P2
3
20
11
P2
3
20
12
P2
4
40 | P a g e
20
12
P2
3
41 | P a g e
Proportion and Variation
20
01
P2
4
20
02
P2
1
2
20
07
P1
2
42 | P a g e
20
08
P2
5
20
09
P2
2
3
20
10
P2
2
3
20
11
P1
1 3
43 | P a g e
20
12
P2
4
44 | P a g e
Pythagoras’ Theorem
20
02
P2
3
1
20
03
P2
4
45 | P a g e
20
04
P2
5 2
00
5
P1
5
46 | P a g e
20
05
P2
3 2
00
6
P2
4
47 | P a g e
20
07
P1
3 2
00
7
P1
4
48 | P a g e
20
08
P1
3 2
00
8
P2
2
2
49 | P a g e
20
09
P1
3 2
01
0
P2
2
3
50 | P a g e
20
10
P2
5 2
01
1
P2
3
20
12
P1
4
51 | P a g e
Quadratics
20
01
P1
1
3 2
20
01
P2
1
2
5
52 | P a g e
20
02
P1
3
20
02
P2
4
20
03
P2
4
53 | P a g e
20
03
P2
2
2
2
54 | P a g e
20
04
P2
3
4
20
05
P1
5
20
05
P2
3
55 | P a g e
20
05
P2
5
56 | P a g e
20
06
P1
2
57 | P a g e
20
06
P2
2
2
3
20
07
P2
4
20
07
P2
2
4
58 | P a g e
20
07
P2
4
20
08
P1
2 3
59 | P a g e
20
08
P1
3
20
08
P2
1
2
3
20
09
P1
2 2
60 | P a g e
20
09
P1
2
2
20
09
P2
4
20
09
P2
4
20
10
P1
2
2
61 | P a g e
20
10
P2
4
20
10
P2
5
20
11
P2
4
20
11
P2
4
62 | P a g e
20
12
P1
2
2
20
12
P1
4
20
12
P2
2
3
63 | P a g e
Ratios
20
02
P2
3
20
03
P1
1
3
20
07
P2
3
20
10
P2
4
64 | P a g e
Scientific Notation
20
01
P2
2
20
02
P2
2
20
04
P2
4
20
05
P2
3
65 | P a g e
20
06
P2
3
20
09
P2
3
20
10
P2
4
66 | P a g e
Sequences
20
01
P1
1
1
2
20
02
P2
1
1
2
20
03
P1
1
2
1
20
05
P1
1
3
67 | P a g e
20
09
P2
1
2
2
20
10
P1
1
2
2
68 | P a g e
20
11
P1
1 1
20
12
P1
1
1
2
69 | P a g e
Similarity
20
02
P2
5
70 | P a g e
20
03
P2
3 2
00
5
P2
4
71 | P a g e
20
06
P1
4 2
00
6
P2
1
3
72 | P a g e
20
07
P1
3 2
00
9
P2
3
73 | P a g e
20
10
P2
3 2
01
1
P2
4
74 | P a g e
20
12
P2
3 2
01
2
P2
2
3
75 | P a g e
Simultaneous Equations
20
01
P2
3 4
20
02
P1
1
1
4
76 | P a g e
20
03
P1
1
1
3
20
04
P1
2
2
3
77 | P a g e
20
06
P1
1
2
3
20
07
P1
1
2 3
20
08
P2
1
1 3
78 | P a g e
20
09
P1
2
2
3
20
10
P1
1
1
3
1
79 | P a g e
20
11
P1
1
1
2
1
80 | P a g e
20
12
P1
4
81 | P a g e
Speed, Distance and Time
20
03
P2
1
4
20
04
P2
4
20
12
P1
1
1
3
82 | P a g e
Statistics and Probability
20
01
P1
3
1
20
01
P1
1
2
83 | P a g e
20
01
P2
3 2
20
02
P1
3
20
03
P1
1
1
84 | P a g e
20
03
P1
1
20
03
P2
1
2
1
20
04
P1
4
85 | P a g e
20
04
P1
3
20
04
P2
4
20
05
P1
2
20
05
P1
3
20
05
P2
4
86 | P a g e
20
06
P2
3
2
20
07
P1
2
20
07
P2
4 2
87 | P a g e
20
08
P2
2
1
20
09
P1
3
20
09
P2
2
88 | P a g e
20
10
P1
1 1
20
10
P2
3 2
20
11
P1
2
1
20
12
P1
3
89 | P a g e
20
12
P2
1 2
90 | P a g e
Straight Lines
20
01
P1
3
20
01
P2
3 4
91 | P a g e
20
02
P1
4
20
03
P1
1
1
2
92 | P a g e
20
04
P1
3
20
04
P2
3
3
20
05
P1
3
93 | P a g e
20
05
P2
1
3
20
06
P1
3
94 | P a g e
20
07
P1
4
20
08
P1
3
95 | P a g e
20
09
P2
4 2
20
10
P1
1
1
3
1
96 | P a g e
20
10
P1
2 1
20
11
P1
3 4
97 | P a g e
20
12
P2
3 2
98 | P a g e
Surds and Indices
20
01
P1
3
20
01
P1
1
2 3
20
02
P1
2
20
02
P1
2
20
03
P1
2
2
20
04
P1
2
2
99 | P a g e
20
05
P1
3 3
20
06
P2
1
2
2
20
07
P1
2
20
07
P1
3
20
07
P1
1
2
20
08
P1
2
100 | P a g e
20
08
P1
3
20
09
P1
1
2
2
20
10
P1
1
1
2
20
11
P1
1 3
20
12
P1
1 1
101 | P a g e
Trigonometry
20
01
P2
4
102 | P a g e
20
01
P2
4
103 | P a g e
20
01
P2
4
104 | P a g e
20
01
P2
3 3
105 | P a g e
20
01
P2
3
20
02
P1
3
20
02
P2
5
106 | P a g e
20
02
P2
3
20
03
P2
4
20
03
P2
4
107 | P a g e
20
03
P2
3
20
04
P1
2
20
04
P2
4
108 | P a g e
20
04
P2
5
20
04
P2
4
109 | P a g e
20
04
P2
5
20
04
P2
3
20
05
P2
4
110 | P a g e
20
05
P2
5
20
05
P2
3
1
20
06
P2
4
111 | P a g e
20
06
P2
2
4
112 | P a g e
20
06
P2
2
3
1
20
07
P1
2
113 | P a g e
20
07
P2
4
20
07
P2
3
20
07
P2
3
114 | P a g e
20
08
P2
4
20
08
P2
3 1
115 | P a g e
20
08
P2
3
1
20
09
P1
3
116 | P a g e
20
09
P2
1
3
2
20
10
P2
4
117 | P a g e
20
10
P2
4
20
10
P2
2 2
20
11
P1
4
118 | P a g e
20
11
P2
1
3
20
11
P2
1
4
119 | P a g e
20
12
P2
4
20
12
P2
4
120 | P a g e
20
12
P2
2 4
20
12
P2
1 4
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