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/log5
