Second Term Examination
Class : SSS Two
Subject : Further Mathematics
Duration : 2 Hours 30 Minutes (2 1/2 hrs)
Section A : Objective Questions
Instruction : Answer all questions in this section.
1. If 36, p, 9/4 and q are the consecutive terms of an exponential sequence (GP). Find the sum of p and q? (a) §9/16 (b) 153/16 (c) 9 (d) 9 1/16
2. Find the gradient of the line joining the points (2, 5) and (-6, 3). (a) – 1/5 (b) – 1/4 (c) 1/3 (d) 1/4
3. The lower and upper endpoint of a class interval is called __________. (a) class mark (b) class boundary (c) class endpoint (d) class limit
4. Two dice are thrown together at once. What is the probability that the sum of the score is 8 or 10? (a) 2/9 (b) 2/5 (c) 1/6 (d) 1/36
5. The sum sn of a sequence is given as Sn = 2n – 5. Find the 6th term. (a) 22 (b) 67 (c) 45 (d) 112
6. Find the equation of a Citizen clé with center (-3, – 8) radius 4√3. (a) x² – y² – 6x + 16y + 23 = 0 (b) x² – y³ – 6x + 16y + 23 = 0 (c) x² + y² + 6x- 16y + 25 = 0 (d) x² + y² – 6x + 16y + 12 = 0
7. The square of 3 – √2 is (a) 6√2 (b) 7 (c) 13 – 6√2 (d) 11 – 6√2
8. If 2x² = 8, find x. (a) 10 (b) – 4 (c) 4 (d) 2
9. A = {2, 3, 5}, B = {1, 6, 10} find A ∩ B. (a) 10 (b) ø (c) 17 (d) 2
10. Find the unit vector in the direction. – 5i + 12j. (a) 1/13 {-5i – 13j} (b) 1/13 {5i + 12j} (c) 1/13 {-5i + 12j} (d) 1/13 {5i – 12j}
11. The mean 2, (x+2), 7 and 9 is 6. Find the Median. (a) 5.5 (b) 6.0 (c) 6.5 (d) 7.0
12. If 2x² – 3x + 4 =0, find α + β. (a) 3/4 (b) 1/4 (c) 3/2 (d) 6/4
13. Solve x² – 2x – 8 > 0. (a) x < – 2 or x > 4 (b) x < – 4 or x > 2 (c) – 2 < x < 4 (d) – 4 < x < 2
14. Simplify : (216) – 2/3 x (0.16) – 1/2 (a) 125/288 (b) 2/125 (c) 4/225 (d) 5/72
15. Given that log3 (x – y) = 1 and log3 (2x + y) = 2. Find the value of x. (a) 1 (b) 2 (c) 3 (d) 4
16. The equation of a circle is 3x² + 3y² + 24x – 12y = 15. Find it radius (a) 2 (b) 3 (c) 4 (d) 5
17. Solve 9 2x + 1 = 81 3x – 2. (a) 5/4 (b) – 2/3 (c) 3/4 (d) 3/2
18. How many ways can 3 perfect be chosen out of 8 perfect? (a) 6 (b) 24 (c) 56 (d) 336
19. Evaluate 1/ (1 – sin 60°), leaving your answer in surd form. (a) 1 – √3 (b) 2 – √3 (c) 4 – 2√3 (d) 4 + 2√3
20. Find the Variance of 19, 21, 27 and 37. (a) 52 (b) 49 (c) 32 (d) 27
21. Find the angle between (5i + 3j) and (3i – 5j) (a) 180° (b) 90° (c) 45° (d) 0°
22. A boy starts with velocity 36ms-1 and at 10 seconds it’s velocity is 96ms-1. What is the acceleration? (a) 3.0 ms-2 (b) 4.0ms-2 (c) 5.0ms-2 (d) 6.0ms-2
23. Find the distance between the points (2, 5) and (5, 9). (a) 4 units (b) 5 units (c) 12 units (d) 14 units
24. A ball is thrown vertically upwards with a velocity of 15ms-1. Calculate the maximum height reached. (Take g = 10ms-1). (a) 15.25m (b) 13.25m (c) 11.25m (d) 10.25m
25. Express (14N, 240°) as a column vector. (a)
26. In how many ways can 6 men be seated round a table?