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 √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x.
30° and 150°
150° and 210°
150° and 330°
210° and 330°
Correct answer is C
√5 cosx + √15sinx = 0;
√5 (cosx + √3sinx) = 0
cosx = -sinx√3; sinxcos = −1√3
tanx = −1√3; x = 150° or 330°
292
272
192
172
Correct answer is C
Using the sum of an AP, Sn = \fran2 [ 2a + (n - 1)d]
S3 = \fra32 [ 2a + (3 - 1)d]
18 = \fra32 [ 2a + 2d]
2a + 2d = 12
a = 4
2(4) + 2d = 18 --> 8 + 2d = 12
2d = 4; d = 2
a = 4: a + d
= 4 + 2 = 6
a + 2d = 4 + 2]2]
= 8
product of the terms = 4 * 6 * 8 = 192
If sin x = 1213 and sin y = 45, where x and y are acute angles, find cos (x + y)
4865
1315
−3365
−4865
Correct answer is C
From Pythagoras' theorem
when sin x = 1213, cos x = 513
Using cos (x + y) = cosx cosy - sinxsiny
513 * 35 - 1213 * 45
= −3365
If ( 1- 2x)4 = 1 + px + qx2 - 32x3 + 164, find the value of (q - p)
-32
-16
16
32
Correct answer is D
( 1- 2x)4 = 1 + px + qx2 - 32x3 + 164
compared with: 1 - 8x + 24x2 - 32x3 + 164
q = 24 and p = -8
(q - p) = 24 - [-8] = 32