Exam Questions Second Term SS 2 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

Express 27-2/3 (a) 9 (b) 1/9 (c) 0.9 (d) 1

Given that P1(x) = 7×3 – 4×2 + 3x + 4 and P2(x) = 5×2 + 6x + 1 Calculate P1(x) + P2(x) (a) 7×3 – x2 + 9x + 5 (b) 7×2 – x2 + 9x + 5 (c) x3 – 9x+ 5(d) 7×2 – 9×2 + 5

Simplify log_5⁡8/log_5⁡√8 (a) -2 (b) -1/2 (c) ½ (d) 2

Simplify (3√2 – 1)( 3√2 + 1) (a) 17 (b) 18 (c) 1 (d) 6

If E= MN/(S+N) and E= 75, M=120, N=5000. Find S (a) 1000 (b) 200 (c) 3000 (d) 4000

Simplify log37+ log_3⁡15 – log_3⁡5 (a) log_3⁡19 (b) log_3⁡5 (c) 3 (d) 1

Solve (1/2)x = 8. Find x (a) 3 (b) 6 (c) -3 (d) -6

Find the common ratio of the exponential sequence 6,12,24,48 (a) 6 (b) 12 (c) 12 (d) 48

Divide 4×3 – 6×2 + 2x + 7 by 2x-3. Find the quotient (a) 6x + 8 (b) 2×2 + 6x + 8 (c) 2×2 + 6x (d) 2x + 8

Find the sum of root of equation 2×2 + 3x – 9= 0 (a) -18 (b) -6 (c) 9/2 (d) -3/7

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, ————————–