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.
A binary operation * is defined on the set of real numbers, R, by
P * q = q2−p22pq. Find 3 * 2
1312
512
-512
−12
Correct answer is C
P * q = q2−p22pq.
3 * 2 (where p = 3, q = 2)
i.e 3 *2 = 32−222∗3∗2
= 4−912
= −512
For what value of k is 4x2 - 12x + k, a perfect square?
-9
−94
94
9
Correct answer is D
4x2 - 12x + k;
a = 4, b = -12, c = k.
For perfect square b2 = 4ac
(-12)2 = 4 * 4 * k;
144 = 16k
k = 144\16
k = 9
If f(x) = 4x3 + px2 + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p
-7.0
-8.0
-9.6
9
Correct answer is B
f(x) = 4x3 + px2 + 7x - 23
If f(x) is divided by (2x -5), the remainder is f(52)
f52 = 4523 + p522 + 752 - 23
Hence;
= 1258 + 254 p + 352 - 23
28 = 250 + 250p + 70 - 92
25p = -200; p = -8.0
If α and β are the roots of 3x2 - 7x + 6 = 0, find \frac{1}{α} + \frac{1}{β}
\frac{7}{6}
\frac{7}{3}
\frac{14}{5}
\frac{14}{3}
Correct answer is A
3x^2 - 7x + 6 = 0
α + β = \frac{7}{3};
αβ = 2;
\frac{1}{α} + \frac{1}{β} = \frac{α +β}{αβ}
\frac{7}{3} ÷ 2
= \frac{7}{6}
In how many ways can 8 persons be seated on a bench if only three seats are available?
100
125
336
427
Correct answer is C
^3{P}_3 = \frac{8!}{8-3}!
= \frac{(8 * 7 * 6 * 5)!}{5!}
= 336