. The shaded portion of the diagram is represented by

The equation of the line through the points (4, 2) and (-8, -2) is 3y = px + q, where p and q are consonants. Find the value of p.

Express 0.315 as a fraction in its lowest term.

Evaluate 141 + 233_six − 102_six

Write 1.02616 correct to 3 significant figures.

What property of addition does the statement a + (b + c) = (a + b) + c illustrate, where a, b and c are real numbers?

A number is selected at random from the set S = (1, 2, 3, …… 15). What is the probability that the number is even?

Express 0.0000816 in standard form.

If 3 ^y = 243 find the value of y?

If Y contains 6 elements, Z contains 4 elements and Y ∩ Z contains 2 elements, what is the number of elements in Y ∪ 2?

Simplify 3√500 – 2√125

If tanθ = 0.7352, where 0^o < θ < 90°, find, correct to one decimal place, the value of θ.

Solve x² + 4x + 3 = 0.

Simplify (a − b)/3 + 3a/2

What is the rule for the mapping below?

x    0   1   2   3   4   5

↓   ↓   ↓   ↓     ↓     ↓      ↓

y   2   5   8   11   14   17

G’ (-4, 6) is the image of G under a translation by the vector

What is the co-ordinates of G?

In the diagram, PQ //RS.

Angles x and y are called ……………

The marked price of a bag was ¢44,980.00. John received 15% discount for a cash purchases of the bag. How much did he pay for it?

A box contains 7 blue, 5 red and 8 white identical balls. If a ball is picked at random from the box, what is the probability that it is white?

Evaluate 1001² – 1

The point P (−3, −5) is reflected in the line y =0. Find the image of P.

Evaluate 2p − q + r.

A cyclist covers 900 m in 5 minutes. What is his average speed in km h-¹?

Make T the subject of the relation l = g(T/2π)²

T = 2π√g/l

Which of the sets below is represented on the number line?

Which of the following relations defines a function?

Evaluate 893 + 412 (mod 4)

The simple interest on 0144,000.00 for 3 years is 036,000.00. What is the rate per annum?

The diagram below shows the graphs of

y=2+6x—x² and y=10—x.

Find the equation of the axis of symmetry of the curve.

The diagram below shows the graphs of

y=2+6x—x² and y=10—x.

Find the co-ordinates of the maximum point of the curve y = 2 + 6x—x²

The diagram below shows the graphs of

y=2+6x—x² and y=10—x.

Find the truth set of the equation 2 + 6x – x² = 10 – x; correct to one decimal place.

In the triangle XYZ is produced to T, |XY| = |XZ|, ∠YXZ = 40° and ∠XZT = (13x – 20)°. Find the value of x.

Factorise the expression 36q² — 49p²

The electrical resistance R, of a wire varies directly as its length, l and inversely as the square of its diameter d. If k is constant, what is the equation connecting R, 1, d and k.

A vertical pole 6m high, cast a shadow 9m long at the same time that a tree cast a shadow 30m long. Find the height of the tree.

The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle.

A man starts from a point A and walks 1000 m on a bearing of 025°. How far north is he from his starting point?

What is the image of (-4, 3) under the mapping

Solve 3x/2 – 5x/3 = 1

If 6x: 64 = 18: 32 find the value of x.

In the diagram, ∠PQS = 50°, ∠PRS 30° and │PR│ = 8cm. Find │QS│

Evaluate

Which of the following diagram illustrates the construction of a perpendicular bisector; L of the XY?

If 4x + 2y = 16 and 6x − 2y = 4, find the value of (x + y)

The table below shows the distribution of mark scored by 20 students in a test.

What is the modal mark for the distribution?

The table below shows the distribution of mark scored by 20 students in a test.

Calculate the mean mark.

The table below shows the distribution of mark scored by 20 students in a test.

Find the median mark

In the diagram F, Q, R and S are points on the circle with centre O. ∠PQR = 104°, find ∠POR.

A right pyramid has a square base of side 10 cm. If the volume is 700 cm³, find its height.

Find the length of the vector