Core Mathematics Mock 2010

Question 1 of 50

Convert 1101₂ to base ten.

Question 2 of 50

Solve x² − 16 = 0.

Question 3 of 50

A translation by (−2, 3) maps (5, 1) to

Question 4 of 50

The image of (2, −3) under reflection in the y-axis is

Question 5 of 50

If 8 m of cloth costs GH¢120, what do 5 m cost?

Question 6 of 50

The nth term of a sequence is 3n + 2. Find the 15th term.

Question 7 of 50

The bearing of north-west is

Question 8 of 50

If p is "It is hot" and q is "I swim", p ∧ q means

Question 9 of 50

If 2ˣ = 16, find x.

Question 10 of 50

The interquartile range of a data set with Q1 = 12 and Q3 = 30 is

Question 11 of 50

Make h the subject of V = πr²h.

Question 12 of 50

Find the gradient of the line joining (−2, 1) and (2, 9).

Question 13 of 50

Lines y = 3x + 1 and y = 3x − 4 are

Question 14 of 50

Convert 46 to base 8.

Question 15 of 50

Solve the simultaneous equations 2x + y = 8 and x − y = 1.

Question 16 of 50

Find the range of x for which 5 − 2x < 1.

Question 17 of 50

Solve x² + x − 12 = 0.

Question 18 of 50

Which transformation preserves size and shape?

Question 19 of 50

The exchange rate is GH¢15 to US$1. How many dollars is GH¢600?

Question 20 of 50

A car travels at 72 km/h. Its speed in m/s is

Question 21 of 50

Find the 8th term of the GP 2, 4, 8, ...

Question 22 of 50

Find the sum of the first 20 natural numbers.

Question 23 of 50

Find the volume of a cylinder with radius 3.5 cm and height 8 cm (π = 22/7).

Question 24 of 50

The volume of a pyramid with a square base of side 6 cm and height 10 cm is

Question 25 of 50

A die is thrown 120 times and a 6 appears 25 times. The relative frequency of a 6 is

Question 26 of 50

The mean of a frequency distribution is found by

Question 27 of 50

A ship sails 5 km due east then 12 km due north. How far is it from the start?

Question 28 of 50

If the bearing of P from Q is 130°, the bearing of Q from P is

Question 29 of 50

Simplify (a³b²)/(ab).

Question 30 of 50

To construct an angle of 45°, you

Question 31 of 50

The minimum value of y = 2cos x + 1 is

Question 32 of 50

The graph of y = tan x is undefined at

Question 33 of 50

Make u the subject of v² = u² + 2as.

Question 34 of 50

A cone has radius 6 cm and slant height 10 cm. Its height is

Question 35 of 50

The area of a triangle with sides 5 cm, 5 cm and 6 cm is

Question 36 of 50

The curved surface area of a cone with r = 3 cm and l = 7 cm is (π = 22/7)

Question 37 of 50

A rectangular tank 2 m by 1.5 m by 1 m holds how many litres when full?

Question 38 of 50

Each interior angle of a regular polygon is 150°. How many sides has it?

Question 39 of 50

In a cyclic quadrilateral, one angle is 68°. The opposite angle is

Question 40 of 50

Find k if (x − 2) is a factor of x² + kx − 10.

Question 41 of 50

Solve simultaneously y = x² and y = 2x + 3. The positive x value is

Question 42 of 50

The volume of a cone of radius 3 cm and height 7 cm is (π = 22/7)

Question 43 of 50

A sector of a circle of radius 7 cm has angle 90°. Its perimeter is (π = 22/7)

Question 44 of 50

The total surface area of a closed cylinder of radius 7 cm and height 10 cm is (π = 22/7)

Question 45 of 50

A cuboid measures 5 cm by 4 cm by 3 cm. The length of its longest diagonal is

Question 46 of 50

A hemisphere has radius 7 cm. Its volume is (π = 22/7)

Question 47 of 50

An arc of length 11 cm subtends 90° at the centre. The radius is (π = 22/7)

Question 48 of 50

A sphere has volume 36π cm³. Its radius is

Question 49 of 50

A square has diagonal 10 cm. Its area is

Question 50 of 50

A cylinder of radius 2 cm holds 88 cm³. Its height is (π = 22/7)