A trader bought 100 oranges at 5 for N40.00 and sold them at 20 for N120.00. Find the profit or loss percent
- A. 20% profit
- B. 20% loss
- C. 25% profit
- D. 25% loss
The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol?
- A. 22\(\frac{1}{2}\)km
- B. 30km
- C. 33\(\frac{1}{2}\)km
- D. 45km
A farmer uses \(\frac{2}{5}\) of his land to grow cassava, \(\frac{1}{3}\) of the remaining for yam and the rest for maize. Find the part of the land used for maize
- A. \(\frac{2}{15}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{2}{3}\)
- D. \(\frac{4}{5}\)
Simplify: \(\frac{3x – y}{xy} – \frac{2x + 3y}{2xy} + \frac{1}{2}\)
- A. \(\frac{4x + 5y - xy}{2xy}\)
- B. \(\frac{5y - 4x + xy}{2xy}\)
- C. \(\frac{5x + 4y - xy}{2xy}\)
- D. \(\frac{4x - 5y + xy}{2xy}\)
The area of a rhombus is 110 cm\(^2\). If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.
- A. 5.0
- B. 4.0
- C. 3.0
- D. 2.5
Which of the following is used to determine the mode of a grouped data?
- A. Bar chart
- B. Frequency polygon
- C. Ogive
- D. Histogram
Make K the subject of the relation T = \(\sqrt{\frac{TK – H}{K – H}}\)
- A. K = \(\frac{H(T^2 - 1)}{T^2 - T}\)
- B. K = \(\frac{HT}{(T - 1)^2}\)
- C. K = \(\frac{H(T^2 + 1)}{T}\)
- D. K = \(\frac{H(T - 1)}{T}\)
In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n – 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.
- A. 35o
- B. 40o
- C. 55o
- D. 60o
If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)
- A. \(\frac{1}{3}\)
- B. \(\frac{2}{3}\)
- C. 1\(\frac{1}{3}\)
- D. 1\(\frac{2}{3}\)
Tom will be 25 years old in n years’ time. If he is 5 years younger than Bade, find Bade’s present age.
- A. (30 - n)years
- B. (20 - n)years
- C. (25 - n)years
- D. (30 + n)years
In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|
- A. 3cm
- B. 4cm
- C. 6cm
- D. 8cm
The probability that kebba, Ebou and Omar will hit a target are \(\frac{2}{3}\), \(\frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that only Kebba will hit the target.
- A. \(\frac{2}{5}\)
- B. \(\frac{7}{60}\)
- C. \(\frac{1}{30}\)
- D. \(\frac{1}{60}\)
| Score | 0 – 4 | 5 – 9 | 10 – 14 |
| Frequency | 2 | 1 | 2 |
The table shows the distribution of the scores of some students in a test. Calculate the mean scores.
- A. 5.6
- B. 6.2
- C. 6.6
- D. 7.0
The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.
- A. 62
- B. 63
- C. 64
- D. 65
The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students
- A. 32o
- B. 45o
- C. 60o
- D. 75o
The angle of elevation of an aircraft from a point K on the horizontal ground 30\(\alpha\). If the aircraft is 800m above the ground, how far is it from K?
- A. 400.00m
- B. 692.82m
- C. 923.76m
- D. 1,600.00m
PQRS is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, <SPX
- A. 53o
- B. 55o
- C. 63o
- D. 65o
\(\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 3 & 5\frac{1}{2} & &
\end{array}\)
The table given shows some values for a linear graph. Find the gradient of the line
- A. 1
- B. 2
- C. 3
- D. 4
In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the size of angle PRS.
- A. 76o
- B. 71o
- C. 38o
- D. 33o
In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and <TOS = 76\(^o\). Using the diagram, calculate the value of angle PTR.
- A. 73o
- B. 67o
- C. 57o
- D. 37o
