
In the diagram below PQRT is a cyclic quadrilateral having RT  QP. The tangent at P meets RT produced at S. QP = QT and PTS = 70°
27 Jul 2017 10:30

ABC is a tangent to the circle BFE at B. From C a straight line is drawn parallel to BF to meet FE produced at D. EC and BD are drawn. E_{1} = E_{2} = x and C_{2} = y
27 Jul 2017 10:37

In the diagram ▵PQR is drawn. S and T are points on the side PQ and PR respectively such that ST  QR.
Prove the theorem which states that ^{PS}⁄_{SQ} = ^{PT}⁄_{TR}
27 Jul 2017 10:46

The table below show the total fat (in grams, rounded off to the nearest whole number) and energy (in kilojoules, rounded off to the nearest 100) of 10 items that are sold at a fastfood restaurant.
27 Jul 2017 11:36

A group of 30 learners each randomly rolled two dice once and the sum of the values on the uppermost faces of the dice was recorded. The data is shown in the frequency table below.
27 Jul 2017 14:32

In the diagram below, the line joining Q(2;3) and P(a;b), a and b > 0, makes an angle of 45° with the positive xaxis. QP = 7√2 units. N (7;1) is the midpoint of PR and M is the midpoint of QR.
Determine:
27 Jul 2017 14:40

In the diagram below, Q(5; 2) is the centre of a circle that intercepts the yaxis at P(0; 6) and S. The tangent APB at P intersects the xaxis at B and that makes the angle a with the positive xaxis. R is a point on the circle and ∠PRS = θ.
27 Jul 2017 15:02

Given that sin23° = √k, determine, in its simplest form, the value of each of the following in terms of k, WITHOUT using a calculator:
27 Jul 2017 15:39

In the diagram below, the graphs of f(x) = cosx + q and g(x) = sin(x + p) are drawn on the same system of axes for 240° ≤ x ≤ 240°. The graphs intercect at (0 °; ½), (120°, 1) and (240°; 1).
27 Jul 2017 15:46

A corner of a rectangular block of wood is cut off and shown in the diagram below. The inclined plane, that is, ▵ACD, is an isosceles triangle having ∠ADC = ∠ACD = θ.
Also ∠ACB = ½θ, AC = x + 3 and CD = 2x.
27 Jul 2017 17:18