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_58/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_315 – log_35 (a) log_319 (b) log_35 (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, ————————–