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.
Find the coefficient of x2in the binomial expansion of (x+2x2)5
10
40
32
80
Correct answer is A
(x+2x2)5
n = 5, r = 4, p = x and q = 2x2
5C4x4 (2x2)1 = 5C4 2x4x2
5C4 2x2 = 5![5−4]!4! * 2x2
5∗4!4!∗2x2 = 5 * 2x2 = 10x2
The coefficient is 10.
18
6
-6
-18
Correct answer is C
4p2+4C2−4p3
npr=n![n−r]!andnCr=n![n−r]!r!
= 4![4−2]!+4![4−2]!2!−4![4−3]!=4!2!+4!2!2!−4!1!
= 4∗3∗2!2!+4∗3∗2!2!2!−4∗3∗2∗11!
12 + 6 - 24 = -6
Given |2−314||−6k||3−26|=15. Solve for k.
-8
-5
-4
-3
Correct answer is B
|2−314||−6k||3−26|=15
|2[−6]−3k1[−6]+4k|=|3−26|
|−12−3k−6+4k|=|3−26|
-12 - 3k = 3
-3k = 3 + 12
k = 15−3
k = -5
5612
6512
12
65
Correct answer is B
1∫0x2(x3+2)3dx
let u=x3+2,du=3x2dx
when x = 1, u = 3
when x = 0, u = 2
dx = du3x2
3∫2 x2[u]33x2
3∫2 u33 du
= u43∗423
112[u4]23
112[34−24]
112[81−16]
6512