Exam Questions Second Term SS 1 Further Mathematics

OBJECTIVE

F/MATHS S.S.1

Given that x= – 3 and y= – 7

Evaluate (x2-y)/(y2-x)

(a)-1/11 (b) 1/23 (c) 4/13 (d) 12/17.

The solution of the equation x2-2x-8 is

X=0 or 12 (b) x=-2 or 4 (c) x=2 (d) x=2 or 4

Express the conjugate of 2 + √3

2 (b) √3 (c) √3 +2 (d) 2 – √3

If f(x) = 10x-3 find f(2)

7 (b) 20 (c) 3 (d) 17

Find the 4th term of an A P whose first term is 2 and the common different is 0.5

0.5 (b) 2.5 (c) 3.5 (d) 4.

Cot  can be express as

1/sin  (b) 1/cos  (c) 1/tan  (d)tan 

Solve the inequality y+9 > 5y-7

Y > 4 (b) y > – 4 (c) y < 4 (d) y < – 4

Calculate the distance between the two point P (1,6) and Q (5,3)

6 (b) 5 (c) 4 (d) 3

Find the sum of the first 12 terms of the series 5 + 9 + 13 +

612 (b) 702 (c) 119 (d) 324

If 3x – y = 23 and 2x + 5y = 4 find the valve of y

– 20 (b) -2 (c) 2 (d) 7

If 2x = 4 find the valve of x

5

10.1 (b) 10 (c) 12 (d) 9

If the square root of 4 is 2 then find the square root of 400

20 (b) 200 (c) 40 (d) 2000

If P = √4x9x16 find the valve of p

24 (b) 6 (c) 48 (d) 12

Express 27-2/3

9 (b) 1/9 (c) 0.9 (d) 1

Express a6 x a-3

a3 (b) a4 (c) a5 (d) a6

Find the 40th term of the linear sequence 6,11,16,21.

201 (b) 200 (c) 75 (d) 150

Solve (1/2)x = 8 find x.

3 (b) 6 (c) – 3 (d) – 6

Simplify 10g10 √8/10g108

1/3 (b) 1/2 (c) 10g√2 (d) 1/3 10g√8

Solve the equation (x + 2) (x + 7) = 0

X = 1 or 8 (b) x = – 2 or 7 (c) x = – 4 or 5 (d) x = – 3, 6

The nth term of a sequence is given by (-1) n-2 x 2n-1. Find the sum of the second term.

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 32x – 12(3x) + 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

Determine if AB is parallel or perpendicular to PQ in each of following

A (3, 1) B (4, 3) P (4, 6) Q (5, 8)

A (5,1 ) B (3,2 ) p (2,4 ) Q(5,6 )

A (4,7 ) B (6,8 ) p (3,5 ) Q(5,6 )

Find the distance between the following pair of point.

A(3,2) and B (4,6)

C(-1,3) and D (2,-7)

P(5, -8) and Q (-4,-2)

S(-3,-2) and 7 (1,-4)

(a) find the equation of the straight line which passes thigh the points

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

Find the common ratio in each of the following exponential sequence.

6, 12, 24, 48,————————–

36, 12, 4, 11/3, —————————————-

4, -8, 16, -32, ————————–

54, – 18, 6, -2, ————————–

(a) Evaluate (8^(1⁄3) X 25^(1⁄2))/81^((-1)⁄2)

(b) Evaluate log⁡√5/log⁡5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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