Mathematics Past Questions And Answers
The table below shows the distribution of the waiting times for some customers in a certain petrol station.
| Waiting time (in mins) | No of customers |
| 1.5 - 1.9 | 3 |
| 2.0 - 2.4 | 10 |
| 2.5 - 2.9 | 18 |
| 3.0 - 3.4 | 10 |
| 3.5 - 3.9 | 7 |
| 4.0 - 4.4 | 2 |
(a) Write down the class boundaries of the distribution.
(b) Construct a cumulative frequency curve for the data;
(c) Using your graph, estimate: (i) the interquartile range of the distribution ; (ii) the proportion of customers who could have waited for more than 3 minutes.
View Discussion (0)WAEC 1991 THEORYFind the unit vector in the direction of the vector \(-12i + 5j\).
- A. \(\frac{-12i}{13} - \frac{5j}{13}\)
- B. \(\frac{-1i}{13} + \frac{5j}{13}\)
- C. \(\frac{-12i}{13} + \frac{5j}{13}\)
- D. \(\frac{-5i}{13} + \frac{12j}{13}\)
The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of Δ QNP = 6cm, calculate the area of the trapezium.

- A. 96cm2
- B. 90cm2
- C. 81cm2
- D. 27cm2
The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart
How much money did he invest in agriculture?

- A. N1,200.00
- B. N1,440.00
- C. N2,000.00
- D. N4,000.00
If 3x = 9 what is the value of x
- A. 1
- B.3
- C. 3/2
- D. 1/2
A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.
- A. 15 cm
- B. 19 cm
- C. 13 cm
- D. 21 cm
In an election the winner received 3/7 of the total vote: If the total number of votes cast were 700000, what number of votes did the winner receive?
- a. 100,000 votes
- b. 200,000 votes
- c. 300,000 votes
- d. 400,000 votes
Find the coordinates of the point on the curve \(y = x^{2} + 4x - 2\), where the gradient is zero.
- A. (-2, 10)
- B. (-2, 2)
- C. (-2, -2)
- D. (-2, -6)
Simplify √30 × √40
- A. 10 √3
- B. 5 √3
- C. 20 √3
- D. 15 √3
A man made a loss of 15% by selling an article for N595. Find the cost price of the article
- A. N600.00
- B. N684.25
- C. N700.00
- D. N892.50


