B – (Answers)
1. 9261
2. (a) 444 (b) (b) 8 22 48 65 75 80 (c ) (c) Points correct Curve or line segments (d) approx 36-40
from correct graph
3. 3.5
4. a
.
P − L / π+ oe
5. (i) 2/42 or 1/21 oe (ii) 7/42 or 1/6 oe
6. 20.2
7. (a) 35 (b) 5.39
8. 10
9. i
–3.5 oe (ii) (ii) –3, –2, –1
10. (a) Earth (b) (b) 6790000 (c )7.22 x 106
11. 63
12. (a) 2(x – 3) oe (b) (b) (a + 12)(a – 12) (c ) (p+5r)2 oe (d) must be 5 x 4 or 20 or LHS = 24 4.8 oe
13. 6.66
14. (a) x/60 ae (b) (i) 2( x/60 ) = (x+20)/80
16(0) x = 6(0)( x + 20)
(or) 80 x = 30( x + 20)
(or) 2x/3 = (x + 20)/4 (ii) 12
15. (a) 35.9 (b) (i) 5.85 (ii) 5.75
16. 1432.62
17. (5x – 3)/2
18. (a) 8 (b) 7.5 (c) 40
19. (a) (i) 41o (ii) Angles in same segment (are equal) (b) (i) 75o (ii) Angle at centre/middle is not 2 x
angle at circumference / edge / perimeter / arc
or A gle PQT ≠ QPT or PR“ ≠ R“Q oe or ≠
20. (a) 28 (b) 20
21. 23 * 52
22. 4
23. (a)48 (b) 7.21
24. (i) - / <
ii −
25. (a) 15 (b) 450
26. (a) -3/4 (b) x= 4, y= -1/2 , (4, 1/2)
27. -4 < x < 4
28. (a) 29 (b) 35 (c )13
29. a
/ oe − oe
30. (a) 3.12 oe
inc 3 3/5, 78/25 (b) 13/25 oe (c )(i) 20/600 oe (ii) 60/600 oe
31. (a) 2/3 oe (b) y=2/3x+5
32. a = – 2 b = 3.5
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
(a)(i) x+8 (ii) y2− −
√v / πh oe
5
(a) 78000 (b) 5.4 × 10
18
x = -1.5 y = 3
(a) Mars (b) 7 × 104 (c ) 1:400 oe
a . oe
= " . " − oe ( c) y = "1.5"x + "c" oe
6.01
A/ πr − r = h oe
(b) 0.42oe
(i) 18 (ii) 15 (iii) 9 (iv) 22
(a) (i) 16x (ii) -2 x-2 oe (b) (1/2 , 6)
(a) 20/54 or 10/27 (b) 27
2 2/3 oe
−1.12, 0.717
(a) corresponding (angle(s)) (b) 122
(a) 2.5 oe (b) 4xy + 6x2 etc
(a) 513 (b) 648
29.1
(a) 18 (b) 270
(a) 24p5q6 (b) 125x6y12
a+
a−
(a) x=3, y=2 (b) 2x+3y = 30 oe (c ) (1,1) (1,2) (1,3) (2,2) marked
(a) 18.75 (b) 1120
(a) 22 (b) 9
(a)(i) 68 (ii) 914 (b) 7
10400
8.63
(a)(i) 4200000 (ii) (0).000382 (b) 8.6 x 10 –9 5.64 x 10 –8 5.6 x 10 –7
(a) 0.25 oe (b) y x "0.25" 3 oe (c ) y x "0.25" 1 oe e.g. 4 4 y x
(a) ( 4.5 , 3 )(b) 7.28
a −
<
− ,− , , ,
5.5
3480
(i) 15 (ii) 23 (iii) 2 (iv) 12
(i) 5.6 (ii) 5
(a) (3, 2) (b) Cross at (6, 3)
(a)(i) 238 (ii) 160 (b) 448
(a)(i) 68 (ii) 39 (b) 540
11
32 × 5 or 45
122
a −
−
255
75. (a) 67 (b)(i) 113
76. 10.2
77. 22
78. 5.32
79. (a) 27 (b) 3
80. 32
81. 1 ½ oe
82. 9826
83. 34.4
84. 57.3
85.
−
+
86. (a) 756 (b) 7238 (c ) 324
87. (a) 6/10 or 3/5 (b) 80 (c ) (i) 6/90 oe (ii) 24/90 oe
88. 120
89. (a) 2.4 (b) 14.8 (c ) 4.5 oe
90. a −
− ,
91. 537
92. i − .
.
ii .
93. 3 x 5 x 5 x 11
94. 1.8
95. (a) Algeria (b) 5.017 x 106 (c ) 70 oe
96. 2x
97. (x – 5)(4x – 17)
98. (a) 3.5 (b) 1 : 25 000
99. (a) 048 (b) (b) 110 (c ) 083
100. (a) 1.29 x 109 (b) 368
101. 7.51
102. Intersection of 2 lines in boundary of overlay
103. 408
104. 94 or 94% or 94 / 100 or 94 out of 100
105. (a) 8 (b) 120
106. 44.4
107. 6
108. (a) 10 to 14 (b) 14.7 (c ) 6/13 oe
109. (a) 52.7 (b) 111.1
110. a , , − , − , ,
Corre t urve
111. 1130
112. = , =− ½
113. -4<x<4
114. 23.6
115. a , , − , − , − , ,
correct graph
116. 3.5
117. a = / − oe
= / − oe
118. (a) 0.000012 (b) 8.5 × 105
119. = ; = −
120. a . , − .
> ; <−
121. 382
122. (a) 3n + 1 oe (b) 29
123. 183
124. 1.25
125. (a) 0.9 oe (b) 5
126. (a) 2×2×3×3×7 (b) 26 × 33×5×7
127. x=18 y=60
128. (a) 0.7 (b) 1.5
129. (a) 10 (b) 13
130. (a t − t −
=±√ a-y)/b)
131. (a) 6 (b) Carmelo and reason using IQR
132. (a) 9.75 × 1010 (b) 200
133. (a) 22.4 (b) 180
134. (a) 11.2 (b) 38.7
135. (a) 900 (b) 25.7
136. a /
=− +
137. (a) 2 × 2 × 3 × 3 × 3 × 5 (b) 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7
138. x=3, y=4
139. (2.5, 5)
140. 204
141. 72
142. 160
143. 6.5 or 6 ½
144. 1,8,9
145. a <
− <
oe
146. a
−
d
+
−
d = √ P/a e
/
−5
147. (a) 7.6 × 10 (b) 160 000 000 (c ) 11
148. 43075.63
149. a
.
h = − D/ oe
150. 125
151. = , = −
152. (a) 5 (b) (i) n(n+2)+1 (ii) (n+1)2
153. (a) 16 to 20 (b) 14.9
154. (a) 136 (b) 10
155. (a) 85 × 7 (b) eg. 56, 32, 16
(or) 56, 32, 14
(or) 56, 28, 16
156. (a) 3, 6, 9 (b) {2,3,4,6,8,9,10} (c ) {6} (d) 3, 9
157. (a) 42.5 (b) 15 (c ) 189
158. a −
+
−
159. a . ×
T = √I/k oe
160. a . , − .
. ,− .
d
+
−