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In the diagram, O is the centre of the circle where OS//QR and ∠SOR = 35º. Find the value of ∠QPR.
In the diagram, KS is a tangent to the circle centre O at R and ∠ROQ = 80º. Find ∠QRS.
Given that ξ = {1, 2, 3, . . . . . . ,10}, P= (x : x is prime) and Q = {y : y is odd}, find P'∩Q
What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take \(\pi = \frac{22}{7}\))
In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.
Each interior angle of a regular polygon is 108°. How many sides has it?
Find the next two terms of the sequence
1, 5, 14, 30, 55, ...
lf \(log_q p= r\), express p in terms of q and r
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
Find the area of a rectangle of length 4cm and whose diagonal is 8cm, (Leave your answer in surd form)