SPM 2010 Add Maths Paper 1 - My Answers!

The following answers and marking scheme to this paper are based on my solutions and have nothing to do with the official answers and marking scheme by the authority concern which I do not even know by now.

1.
(a) {(1, p), (2, r), (3, s), (4, p)} -- 1 mark
(b) many-to-one -- 1 mark
(c) {p, r, s} -- 1 mark

2.
(a) (x - 1) /2 -- 1 mark
(b) 18 -- 2 marks

3. 1/2 -- 3 marks

4.
(a) -1, 3 -- both corect -- 1 mark
(b) x = 1 -- 2 marks

5. p > 1/10 -- 3 marks

6.
(a) k = 1 -- 2 marks
(b) Show of a diagram of a graph of maximum parabola curve with y-intersect at -3,
axis of symmetry at x = 1 and the maximum point at (2, 1). -- 2 marks

7. x = -2 -- 3 marks

8. 2a/3 + b/3 -- 3 marks

9.
(a) 40 -- 2 marks
(b) 14 -- 2 marks

10.
(a) x-square -- 1 mark
(b) 0.8165 -- 2 marks

11.
(a) 2h + 1 -- 2 marks
(b) 9 - 6h -- 2 marks

12. k = 6, h = 2 -- both correct -- 3 marks

13.
(a) 8 -- 2 marks
(b) D(0, -2) -- 2 marks

14. x-square + y-square + 6x - 8y = 0 -- 3 marks

15.
(a) 3i + 4j -- 1 mark
(b) (3i + 4j)/5 -- 2 marks

16.
(a) 4b - 5a -- 2 marks
(b) 2a + 12b/5 -- 2 marks

17. 59 -- 3 marks

18. (1 - p-square)/p-square
OR (1 + p)(1 - p)/p-square
OR 1/p-square - 1 -- 2 marks

19. 3 -- 3 marks

20.
(a) 4x - 12 -- 1 mark
(b) x = 3 -- 1 mark
(c) -18 -- 1 mark

21. 4 -- 3 marks

22. 4 -- 3 marks

23. 20 -- 3 marks

24.
(a) 1/15 -- 1 mark
(b) 3/5 -- 2 marks

25.
(a) 3/8 -- 2 marks
(b) 5/16 -- 3 marks.