Third Term Examinations SS 1 Examination F/MATHS S.S.1

OBJECTIVE

F/MATHS S.S.1

1. Given that x= – 3 and y= – 7Evaluate(a)^-1/₁₁ (b) ¹/₂₃ (c) ⁴/₁₃ (d) ¹²/₁₇.
2. The solution of the equation x²-2x-8 is (a) X=0 or 12 (b) x=-2 or 4 (c) x=2 (d) x=2 or 4
3. Express the conjugate of 2 +(a)2 (b) (c) +2 (d) 2 –
4. If f(x) = 10x-3 find f(2) (a)7 (b) 20 (c) 3 (d) 17
5. Find the 4th term of an A P whose first term is 2 and the common difference is 0.5
6. (a)0.5 (b) 2.5 (c) 3.5 (d) 4.
7. Cot θ can be expressed as (a)¹/sin θ (b) ¹/cos θ (c) ¹/tan θ (d)tan θ
8. Solve the inequality y+9 > 5y-7(a) Y > 4 (b) y > – 4 (c) y < 4 (d) y < – 4
9. Calculate the distance between the two-point P (1,6) and Q (5,3)
10. (a) 6 (b) 5 (c) 4 (d) 3
11. Find the sum of the first 12 terms of the series 5 + 9 + 13 +(a)   612 (b) 702 (c) 119 (d) 324
12. If 3x – y = 23 and 2x + 5y = 4 find the valve of y(a)– 20 (b) -2 (c) 2 (d) 7
13. If ^2x = 4 find the valve of x⁵(a)10.1 (b) 10 (c) 12 (d) 9
14. If the square root of 4 is 2 then find the square root of 400(a)20 (b) 200 (c) 40 (d) 2000
15.  If P = find the valve of p(a)24 (b) 6 (c) 48 (d) 12
16. Express 27^-2/3(a)9 (b) ¹/₉ (c) 0.9 (d) 1
17. Express a⁶ x a^-3(a)a³ (b) a⁴ (c) a⁵ (d) a⁶
18. Find the 40th term of the linear sequence 6,11,16,21.201 (b) 200 (c) 75 (d) 150
19. Solve (¹/₂)^x = 8 find x.(a)3 (b) 6 (c) – 3 (d) – 6
20. Simplify 10g₁₀ /10g₁₀8 (a) ¹/₃ (b) ¹/₂ (c) 10g (d) ¹/₃ 10g
21. Solve the equation (x + 2) (x + 7) = 0  (a)  X = 1 or 8 (b) x = – 2 or 7 (c) x = – 4 or 5 (d) x = – 3, 6
22. The nth term of a sequence is given by (-1) ^n-2 x 2^n-1. Find the sum of the second term(a). 3 (b) 4 (c) 2 (d) 10

1. Simplify (0.2)³ x 8

(0.4)

(a) 40 (b) 0.4 (c) 0.2 (d) 0.04

2. Express 5⁷ x 5⁴

(a) 5 (b) 5⁷ (c) 5¹¹ (d) 5¹⁰

3. Solve (1/2) ^x =8

(a) -3 (b) 3 (c) 1 (d) 4

4. Determine the cardinality 0f set A = (a, m, b)

(a) 2 (b) 3 (c) 1 (d) 4

5. Venn diagram was developed by ………………………….

(a) Joseph venn (b) wole venn (c) John venn (d) Charle’s Venn

6. If x = (2, 4, 6, 8,) y = (2, 5, 9, 11, 12). Then find X U Y.

(a) (2, 4, 6, 8) (b) (2, 5,9, 2, 4, 6) (c) 2, 4, 5, 6, 8, 9, 11, 12 ) (d) 2, 4, 5, 11 12)

7. Solve for x in the equation 3^2x – 12(3^x) + 27 =0

(a) 3, a (b) 2, 1 (c) -3, 9 (d) -1, 2

8. Evaluate log2\3 (4\9)

(a) 2 (b) 2\3 (c) 1 (d) 0

9. An operation × is defined on the set of real numbers R such that

If x, y, ER then x x y = x + y use it to answer 10 and 11

2

10. Determine 3x 2

(a) 2\5 (b) 3\5 (c) 5\2 (d) 1\3

Theory

1. Determine if AB is parallel or perpendicular to PQ in each of following
2. A (3, 1) B (4, 3) P (4, 6) Q (5, 8)
3. A (5,1 ) B (3,2 ) p (2,4 ) Q(5,6 )
4. A (4,7 ) B (6,8 ) p (3,5 ) Q(5,6 )
5. Find the distance between the following pair of point.
6. A(3,2) and B (4,6)
7. C(-1,3) and D (2,-7)
8. P(5, -8) and Q (-4,-2)
9. S(-3,-2) and 7 (1,-4)
10. (a) find the equation of the straight line which passes thigh the points

P (2,-3) and Q (-4, 2)

1. Find the common ratio in each of the following exponential sequence.
2. 6, 12, 24, 48,————————–
3. 36, 12, 4, 1^1/_{3, —————————————-}
4. 4, -8, 16, -32, ————————–
5. 54, – 18, 6, -2, ————————–
6. (a) Evaluate