Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
If P = (23−41), Q = (68) and PQ = k (45−20). Find the value of k.
-54
-45
45
54
Correct answer is C
PQ = (23−41) = (68) = (36−16)
(36−16) = k = (45−20)
k = 3645
= 45
Calculate the distance between points (-2, -5) and (-1, 3)
√5 units
√17 units
√65 units
√73 units
Correct answer is C
distance = √(3−(−5)2+(−1−(−2)2)
= √82+12
= √65 units
Find the value of x for which 6√4x2+1 = 13x, where x > 0
65
2524
2425
56
Correct answer is A
√4x2+1 = 13x6
4x2 + 1 = 169x236
4 + x2 = 169x236
cross multiply
169x2 - 144x2 = 36
25x2 = 36
x2 = 3625
: x = ±65
Find the sum of the first 20 terms of the sequence -7-3, 1, ......
620
660
690
1240
Correct answer is A
d = -3 - (-7) = 4
S20 = 202{2(-7) + (20 - 1) 4}
= 10(- 14 + 76)
= 620
Given that 1x2−4=p(x+2)+Q(x−2)
x ≠±2
Find the value of (P + Q)
32
1
12
0
Correct answer is D
1x2−4=P(x+2)+Q(x−2)
I = p(x - 2) + Q(x + 2)
Let x = 2
I = P(2 - 2) + Q(2+ 2)
I = -4Q
Q = 14
Let x = -2
I = P(-2 - 2) + Q(-2 + 2)
I = -4p
P = 1−4
PQQ = - 14+14
= 0