Question Library

In the diagram, O is the center of the circle. \(\overline{PQ}\) and \(\overline{RS}\) are tangents to the circle. Find the value of (M + N).

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.

In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78^\circ. Find the height of the tree correct to the nearest whole number.

Age in years 7 8 9 10 11 No of pupils 4 13 30 44 9 The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

Find the length of the chord |AB| in the diagram shown above.

Given \(\sin 58^\circ = \cos p^\circ\), find p.

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

From the cyclic quadrilateral MNOP above, find the value of x.

If \(4\sin^2 x - 3 = 0\), find the value of x, when 0^\circ \(\leq\) x \(\leq\) 90^\circ

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200?

Find the value of x in the diagram