Mathematics Past Questions And Answers
The cross-section of a prism is a right-angled triangle 3cm by 4cm by 5cm. The height of the prism is 8cm. Calculate its volume
- A. 48cm3
- B. 6Ocm3
- C. 96cm3
- D. 120cm3
The table shows the distribution of the lengths of 20 iron rods measured in metres :
| Length (m) | 1.0 - 1.1 | 1.2 - 1.3 | 1.4 - 1.5 | 1.6 - 1.7 | 1.8 - 1.9 |
| Frequency | 2 | 3 | 8 | 5 | 2 |
Using an assumed mean of 1.45, calculate the mean of the distribution.
View Discussion (0)WAEC 2014 THEORY(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm,< ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:
(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are two points AB;
(b) Measure |AB| and |QB|.
View Discussion (0)WAEC 1990 THEORYEvaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)
- A. \(\frac{14}{15}\)
- B. \(\frac{13}{15}\)
- C. \(\frac{4}{5}\)
- D. \(\frac{11}{15}\)
Evaluate (x + \(\frac{1}{x}\) + 1)2 - (x + \(\frac{1}{x}\) + 1)2
- A. 4x2
- B. (\(\frac{2}{x}\) + 2)2
- C. 4
- D. 4(1 + x)
If \(f(x) = 3x^{3} + 8x^{2} + 6x + k\) and \(f(2) = 1\), find the value of k.
- A. -67
- B. -61
- C. 61
- D. 67
(a) Without using tables or calculator, simplify : \(\frac{0.6 \times 32 \times 0.004}{1.2 \times 0.008 \times 0.16}\), leaving the answer in standard form (scientific notation).
(b)(1).jpg)
In the diagram, \(\overline{EF}\) is parallel to \(\overline{GH}\). If \(< AEF = 3x°, < ABC = 120°\) and \(< CHG = 7x°\), find the value of \(< GHB\).
View Discussion (0)WAEC 2014 THEORY.jpg)
The probability that John and James pass an examination are 3/4 and 3/5 respectively, find the probability of both boys failing the examination
- A. \(\frac{1}{10}\)
- B. \(\frac{3}{10}\)
- C. \(\frac{9}{20}\)
- D. \(\frac{11}{20}\)
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
- A. 2
- B. 3
- C. 6
- D. 12
Evaluate (212)3 - (121)3 + (222)3
- A. (313)3
- B. (1000)3
- C. (1020)3
- D. (1222)3