CXC MATHEMATICS CxcDirect Institute Solutions – May 2008
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** Please see the original past paper for the questions. Only the answers will be provided as per copyright obligations.
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ii) iii)
6a b 12a b= 6a b b 2a 2m 9m – 5 let pq = ac ; p+q = b p+q = 9 pq = -10; p = 10, q = -1
2 2 2m 9m – 5 = 2m 10m – m− 5 2
2
3
4
2
2
2
a = 2, b = 9, c = -5
Q1a. s
3.90.27= 4.17
⇒
0.6724=0.82 so: 4.17 0.82= 4.99 b) simplifying the numerator : 17 1 4 5 4 2 − − = = 10 2 5 2 5 . Divide Numerator by denominator: 17 3 ⇒ ÷ 10 4
⇒
⇒
⇒
= =
2m m 5−m 5 2m – 1 m 5
17 4 × = 10 3
34 = 15
2
4 15
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1.b
⇒
$1Can = J$72.50 $Can 250.00 = J $250 x 72.5 = J$18,125.00
Credit limit = $J 30,000 = $Can (30,000/72.5) = $Can 413.79 Credit card balance = $413.79 – $250.00 = $Can 163.79
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Question 2 a = 2, b = -1, c = 3 a(b+c) = 2(-1 +3) = 4
4b – 2ac ab c
2
=
4 −1 – 2× 2 ×3 2−1 3
2
=
4 – 12 = 4
− 2
b)
i) ii)
4 x5
ab 16
c) i) 15 – 4x = 6x +2
⇒
15− 2=10x 4x 13=10 x x=1.3
⇒
⇒
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Math club :
2
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Q3
Career Doctor Teacher Artist Lawyer Sales Total # 105 189 216 240 330 1080 Angle 35 63 72 80 110 360
Q4.
U M
N
16, 18, 20, 22, 24
17, 19, 23
't = 1080 - ( 240 + 189 + 216 + 330) = 105 Converting to a pie chart angle:
⇒
15,21,25
Doctor