SQA Exams 2001

Higher Answers

Paper 1 (non- calculator)

1 3y + 2x = 1

2 k = 1/4

3 (a) yes (since eg etc) (b) show dot product is zero

4 (x +1)2 - 9

5 (a) x = 30, 90, 150 (b) P(150, )

6 x = 9

7 (a) i sin(x + ) ii cos(x + ) (b) i proof ii x = or

8 x = 81

9

10 (a) a = 1 (b) b = 3 (c)

11 (a) i proof ii show sum of radii = distance between centres (b) y = x + 5 (c) 2 ± 23

Paper 2 (calculator)

1 (a) k = -5 (b) x = -2, 1/2 , 1

2 y = 2x - 12

3 (a) (b) on 1st Dec he pays £290.68

4 71.5 degrees

5 10 cos(x + 36.9)

6

7 (a) x = 7 (b) 2y + 3x = 23 (c) (7, 1) (d) (x-7)2 + (y-1)2 = 26

8 40.5

9 k = 0.462

10

11 (a) proof (b) p = 2

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