Mathematics Past Questions And Answers
The fourth term of an exponential sequence is 192 and its ninth term is 6. Find the common ratio of the sequence.
- A. \(\frac{1}{3}\)
- B. \(\frac{1}{2}\)
- C. \(2\)
- D. \(3\)
If A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find AB
- A. \(\begin{pmatrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{pmatrix}\)
- B. \(\begin{pmatrix} 10 & 6 \\ 13 & 10 \\ 12 & 6 \end{pmatrix}\)
- C. \(\begin{pmatrix} 10 & 6 \\ 12 & 10 \\ 11 & 6 \end{pmatrix}\)
- D. \(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
- A. 20cm
- C. 8cm
- C. 14cm
- D. 10cm
A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red?
- A. \(\frac{25}{144}\)
- B. \(\frac{5}{33}\)
- C. \(\frac{5}{6}\)
- D. \(\frac{103}{132}\)
If \(\frac{^{n}C_{3}}{^{n}P_{2}} = 1\), find the value of n.
- A. 8
- B. 7
- C. 6
- D. 5
Simplify \(\sqrt{160r^2 + \sqrt{71r^4 + \sqrt{100r^8}}}\)
- A. 9r2
- B. 12\(\sqrt{3r}\)
- C. 13r
- D. \(\sqrt{13r}\)
The windows of a building have 6 sides and 6 angles. What type of a polygon are the windows?
- A. Heptagon
- B. Octagon
- C. Pentagon
- D. Hexagon
Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
- A. x≥4
- B. x≤3
- C. x≥−3
- D. x≤−4
The table shows the distribution of the heights of a group of people.
Height (m) | 0.4 - 0.5 | 0.6 - 0.9 | 1.0 - 1.2 | 1.3 - 1.4 | 1.5 - 1.7 |
| Number of people | 2 | 8 | 12 | 6 | 6 |
(a) Draw a histogram to illustrate the distribution.
(b) Using an assumed mean of 1.1m, find, correct to one decimal place, the mean height of the group.
View Discussion (0)WAEC 2015 THEORY.jpg)
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
- A. 3
- B. 16
- C. 38
- D. 30