How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?
35/3
64
16
35/2
Correct answer is A
Tn = a + (n-1)d
10th term = 32
32 = 3/2 + 9d
9d = 32 - 3/2
9d = 61/2
d = 61/18
: T4 = 3/2 + 3(61/18)
T4 = 3/2 + 61/6 → 35/3
A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?
65.0cm\(^3\)
70.5cm\(^3\)
56.5cm\(^3\)
60.0cm\(^3\)
Correct answer is D
Volume of a rectangular pyramid = \(\frac{length * width * height}{3}\) or \(\frac{area * height}{3}\)
= \(\frac{24 * 7.5}{3}\) → \(\frac{180}{3}\)
Volume of the rectangular pyramid = 60cm\(^3\)
| F | R | C | G | S | M |
| 28% | 15% | 20% | 14% | 10% | 13% |
If the above information is represented on a pie chart. What angle represents his spending on food?
108.5
100.8
98.8
120.5
Correct answer is B
\(\frac{28 * 360}{100}\)
= 100.8º
Find the length of a chord 3cm from the centre of a circle of radius 5cm
8cm
5.6cm
7cm
6.5cm
Correct answer is A
Using pythagoras formula:
Hyp\(^2\) = adj\(^2\) + opp\(^2\)
5\(^2\) = opp\(^2\) + 3\(^2\)
5\(^2\) - 3\(^2\) = adj\(^2\)
4 = adj
length of the chord = 2 * 4 = 8cm
Simplify \(\frac{1}{3-√2}\) in the form of p + q√2
\(\frac{7}{3}\) - \(\frac{1}{7√2}\)
\(\frac{7}{3}\) + \(\frac{1}{7√2}\)
\(\frac{3}{7}\) - \(\frac{1}{7√2}\)
\(\frac{3}{7}\) + \(\frac{√2}{7}\)
Correct answer is D
Rationalization with conjugate \({3+√2}\)
\(\frac{1}{3-√2}\)
→ \(\frac{1 * [3+√2]}{[3-√2][3+√2]}\)
= \(\frac{3+√2}{9 -3√2 + 3√2 + √4}\)
= \(\frac{3+√2}{9 - 2}\) → \(\frac{3+√2}{7}\)
= \(\frac{3}{7}\) + \(\frac{√2}{7}\)