1.

State the property used in the operation a(b+c) = ab + ac.

2.

Simplify 0.1 x 0.02 x 0.003 (leaving your answer in standard form)

3.

Express 125 as a decimal fraction.

4.

In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?

5.

How many faces has a cube?

6.

Simplify 2⁸ ÷ 2³

7.

The Venn diagram below shows the number of pupils in a class of 40, who speak Twi or Ga or neither.

Use it to answer the question below.

How many pupils speak Twi and Ga?

8.

Use it to answer the question below.

How many pupils speak neither Twi nor Ga?

9.

Find the least common multiple (LCM) of the numbers 10, 15 and 25.

10.

Which of the following expression is illustrated on the number line above?

11.

Simplify 2a3 - (a - b)2

12.

Correct 0.00025 to one significant figure.

13.

If y : 28 = 5 : 7, find y.

14.

Convert 121_five to a base ten numeral.

15.

Find the image of 4 under the following mapping.

16.

The point K(3, 4) is rotated through 180° about the origin. Find its image.

17.

Arrange the following fractions in descending order of magnitude: 12, 1720, 34

18.

Which of the following best describes the construction below?

19.

Find the image of the point K (3, 5) when it is reflected in the x-axis.

20.

A set of furniture was sold for ₵300,000.00 at a profit of 20%. Find the cost price.

21.

Make x the subject of the relation, v² = u² + 2ax.

22.

Three baskets contain 95 oranges, x oranges and 2x oranges. How many oranges are in the three baskets?

23.

The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer the question below.

Find the value of the angle marked y.

24.

The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer the question below.

How many more students offered science subjects than Arts subjects.

25.

Kofi is two years older than Ama. If the sum of their ages is 16, find Ama's age.

26.

J = 12mv², If v = 4 and J = 12, find m

27.

PQR is a right-angled triangle. The area of the triangle is 6 cm² and |QR| = 3 cm.

Find |PR|.

28.

A rectangle has a length of 8 cm and a breadth of 6 cm. How long is its diagonal?

29.

Simplify 13(223 + 56)

30.

A man divided his 360 cattle among his three sons in the ratio 7 : 6 : 5. How many cattle did the one who had the smallest share receive?

31.

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8.

Use this information to answer the question below.

Find the median

32.

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8.

Use this information to answer the question below.

What is the mode?

33.

What is the fifth term of the sequence 13, 25, 715 ...?

34.

30 men dig a pit in 21 days. How many days will 14 men take to dig the pit, working at the same rate?

35.

A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball?

36.

The figure below is a cuboid wih dimensions x cm by y cm by z cm. Find the area of the face PQRV.

37.

A rod 200 cm long is broken into two parts. The shorter part is one-quarter of the length of the rod. Express the shorter part as a percentage of the longer part.

38.

In the figure below, MN and PQ are straight lines. Find the value of the angle marked x in the figure.

39.

Find the value of x in the equation x4 = 2

40.

The circumference of a circular track is 15.4 m. Find the diameter of the track.

[Take π = 227]