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 nC2 = 15, find the value of n
8
7
6
5
Correct answer is C
nC2 = 15
n!(n−3)!2! = 15
n(n−1)(n−2)!(n−2)!2 = 15
n2 - n = 30
n2 - n - 30 = 0
(n - 6)(n + 5) = 0
n = 6 or n = -5
√2 - 1
1 - √2
√2−12
1−√22
Correct answer is A
1√2+1 x √2−1√2−1
= √2−12−1
= √2−11=√2−1
Evaluate tan 75o; leaving the answer in surd form (radicals)
√3+2
√3+1
√3−1
√3−2
Correct answer is D
Tan 75o = Tan (45o + 30o)
= tan45o+tan30o1−tan45otan30o
= √3+1√3−1
RATIONALIZE THE DENOMINATOR
= √3+1√3−1 X √3+1√3+1
= 4+2√33−1
= 2(2+√3)2
= 2 + √3
Solve; P2+k3 = 5 and 2p = k = 6 simultaneously
p = -6, k = -6
p = -6, k = 6
p = 6, k = 6
p = 6, k = -6
Correct answer is C
P2+k3 = 5
3p+2k6 = 5
2p + 3k = 30
- 2p - k = 6
¯4k4=244
k = 6
From 2p - k = 6
2p - 6 = 6
2p2=122
p = 6
-2
-1
1
2
Correct answer is B
8x−2 = 43x
23(x−2) = 22(3x)
2 3x−4 = 26x
2 x−4 = 6x
−4x−4 = 4−4
x = -1