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Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)
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.
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.
If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)
Tom will be 25 years old in n years' time. If he is 5 years younger than Bade, find Bade's present age.
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.
| 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.
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.
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
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?
PQRS is a square. If x is the midpoint of PQ, calculate correct to the nearest degree,
\(\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 3 & 5\frac{1}{2} & &
\end{array}\)
The table given shows some values for a linear graph. Find the gradient of the line
In the diagram, O is the centre of the circle, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the value of angle PTR.
In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and
In the diagram, PQ//RT, QR//SU,
In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN
In the diagram, O is the centre. If PQ//RS and ∠ find the size of ∠POM.