Page 45 - ACE YR IGCSE A TOP APPR' TO MATHS

(d) Distance (m) (e) x = –1.5 to –1.6
x = 0.2 to 0.3 [2]
40 3 (a) –0.75, –1.11, –1, 1.5 [4]
34
30 (b) y
24
20 7

10 6
Time (s)
0 5 12 17 20 5
[3]
4

Graphs 3
1 (a) 2.5, 5.2, –5.2, –2.5, –2.9 [4] 2
(b) and (d) 1
y
3 x
0 1 2 3 4 5 6
2 –1
1 –2

x
–5 –4 –3 –2 –1 0 1 2 3 4 5 [5]
–1 (c) x = 0.5
–2 x = 3.7 [4]
x + 10
–3 (d) (i) Draw the line of y = . [3]
5
[5] (ii) x = 0.4 to 0.6
(c) k =1 or k = –1 [2] x = 4.6 to 4.8 [2]
x + 10
x
2
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2
(d) See the graph in (b)
[2]

+
– 3 =
(iii)
(e) x = 4.8 to 5 [2] 4 x 5
3
2
(f) x + 4 = 2x – 7 x + 10 = x + 8 – 12x
2x 5 4x
x + 4 = 4x – 14x 5x – 4x – 100x + 40 = 0
2
2
2
3
3x – 14x – 4 = 0 5 : 100 : 40
2
a = 3, b = –14, c = –4 [3] 1 : 20 : 8 [3]
2 (a) 2.25, 1, –3.186, 1 [4] 1 1
(b) y 4 (a) 2, – 3 , – 2 , –0.7 [4]
(b)
y
3
9
2
8
1
7
x
–2 –1 0 1 6
–1
5
–2
4
–3 3
–4 2
[5] 1
(c) (i) x = –2, –1, 1 [3]
(ii) x = 1 to 1.1 0 1 2 3 4 5 6 7 8 9 x
x = –0.8 to –0.9 [2] –1
(d) –3 ≤ k ≤ 2 [2]
[5]
Answers 165

Answers.indd 165 15/03/2022 11:08 AM