BECE Mathematics Past Questions 2012

A watch gains minutes per hour. What is the total time gained from 12 noon to 12 midnight in a day?

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5 cm on the map?

Kofi invested GH¢ 150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH¢11,250.00?

Kojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua’s weight?

Find the truth set of (x + 3) ≤ 2x – 1

On which day was the change in temperature the least?

Find, correct to one decimal place, the average day temperature for the week

Triangle ABC is right-angled at B. |AB| = 3 cm and |BC| = 4 cm. Find the length of AC.

Find the image of 3 under the mapping, x → 10 – 2x

Triangle ABC is a right-angled triangle. Find the length of AC.

A tank contains 400 litres of water. If 100 litres is used, what percentage is left?

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

Simplify – 4 (3 – 5) + 10 – 3 (7 + 4) + 30

Find the Lowest Common Multiple (LCM) of 22× 3 × 52 and 23 × 32 × 5

If P = {2, 3, 5, 7}and Q = {2, 4, 6, 8}, find P∩Q

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

The table below shows the day and night temperatures (°C) of a town during a week. Weekday | Day | Night -----------|-----|------ Monday | 33 | 24 Tuesday | 29 | 25 Wednesday | 32 | 23 Thursday | 34 | 26 Friday | 32 | 24 Saturday | 30 | 24 Sunday | 30 | 25 On which day was the change in temperature the least?

If P = {2, 3, 5, 7} and Q = {2, 4, 6, 8}, find P ∩ Q.

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

Find the least number that must be added to 308 to make it divisible by 19.

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many study English?

Line PQ is parallel to line RS. A transversal UV crosses both lines, making an angle of 35° with RS. Find angle a, where a is the co-interior angle at line PQ on the same side of the transversal.

In a school of 940 pupils, the number of girls exceeds the number of boys by 150. How many girls are there in the school?

Find the least number that must be added to 308 to make it exactly divisible by 19.

Triangle A₁B₁C₁ is an enlargement of triangle ABC. The corresponding sides of the two triangles are 3 cm and 6 cm respectively. Determine the scale factor of the enlargement.

Convert 84 to a base five numeral.

In a class of 24 pupils, 10 study French only and 8 study English only. If each pupil studies at least one of the two subjects, how many pupils study English?

The bearing of Atoru from Busase is 275°. What is the bearing of Busase from Atoru?

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

A watch gains 1½ minutes per hour. What is the total time gained from 12 noon to 12 midnight?

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

A map is drawn to a scale of 1 : 100,000. What distance in kilometres is represented by 5 cm on the map?

Express 3.75 as a mixed fraction.

Kofi invested GH¢150,000 at 2.5% per annum simple interest. How long will it take this amount to yield an interest of GH¢11,250.00?

Given the points S(5, –2) and T(3, 2), calculate the gradient of the line ST.

Find the volume of a cylinder of height 3 cm and radius 2 cm.

Kojo is 20% heavier than Afua. If Kojo weighs 6 kg, what is Afua's weight?

Find the truth set of ¼(x + 3) ≤ 2x – 1.

A box contains 30 identical balls of which 16 are white and the rest are yellow. If a girl picks a ball at random from the box, what is the probability that it is a yellow ball?

The table below shows the day and night temperatures (°C) of a town during a week. Weekday | Day | Night -----------|-----|------ Monday | 33 | 24 Tuesday | 29 | 25 Wednesday | 32 | 23 Thursday | 34 | 26 Friday | 32 | 24 Saturday | 30 | 24 Sunday | 30 | 25 Find, correct to one decimal place, the average day temperature for the week.

If 2x = 5(x – 2) + 7, find the value of x.

Find the image of 3 under the mapping x → 10 – 2x.

A tank contains 400 litres of water. If 100 litres is used, what percentage of the water is left?

Convert 42 to a base two numeral.

An iron rod 15 m long is divided into 12 equal parts. How long is each part?

Simplify –4(3 – 5) + 10 – 3(7 + 4) + 30.

How many diagonals are in a rectangle?

Find the Lowest Common Multiple (LCM) of 2² × 3 × 5² and 2³ × 3² × 5.

Which of the following numbers is an integer?

Expand –x(3 – 2x).

Line PQ is parallel to line RS. A transversal UV crosses both lines. Angle b is formed at line PQ and angle c is formed on the same side of the transversal at line RS. Angle b and angle c are