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 g(x) = √(1-x\(^2\)), find the domain of g(x)
x < -1 or x > 1
x ≤ -1 or x ≥1
-1 ≤ x ≤ 1
-1 < x < 1
Correct answer is C
1 - x\(^2\) ≥ 0
-x\(^2\) ≥ -1
x\(^2\) ≤ 1
√x\(^2\) ≤ 1
|x| ≤ 1
-1 ≤ x ≤ 1
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | x | 9 | 2x | 1 |
5
6
7
8
Correct answer is C
7km has the highest frequency(14)
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | x | 9 | 2x | 1 |
If a hunter is selected at random, find the probability that the hunter covered at least 6km.
\(\frac{3}{5}\)
\(\frac{2}{5}\)
\(\frac{3}{8}\)
\(\frac{9}{40}\)
Correct answer is A
5+4+x+9+2x+1 = 40
19+3x = 40
3x = 21
x = 7
| Distance(km) | 3 | 4 | 5 | 6 | 7 | 8 |
| Frequency | 5 | 4 | 7 | 9 | 14 | 1 |
The probability that the hunter covered at least 6km, means the hunter covered either 6km or 7km, or 8km.
24 hunters covered at least 6km
| 24
40 |
= | 3
5 |
If →PQ = -2i + 5j and →RQ = -i - 7j, find →PR
-3i + 12j
-3i - 12j
-i + 12j
i - 12j
Correct answer is C
→PQ = →PR + →RQ
→PR = →PQ - →RQ
→PR = -2i + 5j - (-i - 7j)
→PR = -2i + 5j + i + 7j
→PR = -i + 12j.
(10 units, 053º)
(9 units, 049º)
(10 units, 037º)
(9 units, 027º)
Correct answer is A
|→PQ| = √[(2-(-4))\(^2\) + (3-(-5))\(^2\)]
|→PQ| = √\(6^2 + 8^2\)
|→PQ| = √100
|→PQ| = 10units
tanθ = \(\frac{3--5}{2--4}\)
tanθ = \(\frac{4}{3}\)
θ = \(tan^{-1}\frac{4}{3}\)
= 53º