Skip to content
BECEzone

THE WEST AFRICAN EXAMINATIONS COUNCIL GHANA

Basic Education Certificate Examination

Mathematics 2020

OBJECTIVE TEST

Objective Test

Question 1

Simplify: 3 4 - 1 3 + 1 12

Question 2

Given that N = {x:x is a factor of 18} and M = {x:x is a multiple of 12}, find N ∩ M.

Question 3

Express 4382.93 in standard form.

Question 4

Which property of arithmetic is used in a(x+y) = ax + ay?

Question 5

Subtract (7x-3) from (5-3x).

Question 6

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

Question 7

Question 7 diagram
Which of the following inequalities is represented on the number line?

Question 8

Simplify: (2ab²)² x 3a³b.

Question 9

Which of the following polygons does not have a line of symmetry?

Question 10

A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set.

Question 11

Vera is 11 years old and her brother is 9 years old. They shared 60 oranges in the ratio of their ages. How many more oranges does Vera get?

Question 12

If (x-3)² = 16, find the positive value of x.

Question 13

Find the image of the point (-2,3) under a reflection in the y-axis.

Question 14

What fraction of 3 weeks is 18 days?

Question 15

What is the median of the following numbers: 4, 16, 13, 18, 3, 20, 6, 7, 15, 2, 10, 12?

Question 16

If , find the value of w.

Question 17

Question 17 diagram
Use the diagram below to answer the question 17 and 18 Find the value of x.

Question 18

Find the value of y.

Question 19

A car used 8 hours to travel from town A to town B at a speed of 18 km/h. Find the distance travelled.

Question 20

Question 20 diagram
The pie chart shows the household budget of a family. Find the angle for INSURANCE AND TAXES.

Question 21

The pie chart shows the household budget of a family. If the family's income was GH₵ 40,000.00, how much was spent on clothing?

Question 22

Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter.

Question 23

A man earned an interest of GH₵ 240.00 in 4 years at 20% per annum simple interest. Calculate the principal.

Question 24

A labourer worked for 20½ hours. If he was paid GH₵ 2.50 per hour, what was his total wage?

Question 25

If 480 pupils in a school are boys representing 80% of the school's enrolment. Find the total number of pupils in the school.

Question 26

Question 26 diagram
What is the rule for the mapping?

Question 27

Question 27 diagram
Find the value of t in the diagram.

Question 28

Add the following numbers: 2.4, 0.042, 1.12, and 0.342.

Question 29

Solve: 4x = 32.

Question 30

Find the equation of the straight line passing through the points (-3, 5) and (6, 8).

Question 31

There are 15 females in a debating club. If the ratio of females to males is 3:2, how many members are in the club?

Question 32

If P1(4, -5) is the image of P(x, y) translated by r = (-2, 3), find the values of x and y.

Question 33

If 2y = 1 - 3x² + 4x, find y when x = -1.

Question 34

Given that p = {1,2,3,4,5,6,7,8,9,10,11,12}, what is the probability of selecting a prime number from the set?

Question 35

Solve: 3 - (3x+4) ≤ -4.

Question 36

Two sides of a rectangle are 10 cm and 6 cm. Calculate the area of a square with the same perimeter as that of the rectangle.

Question 37

Make n the subject of the relation. y = n - x x

Question 38

Expand and simplify: (a-2)(2a+3).

Question 39

Simplify 2² x 2⁷ ÷ 2⁴.

Question 40

If P = {7,11,13} and Q = {9,11,13}, find P ∪ Q.

THEORY

ESSAY

This paper is in two parts: I and II. Answer Question 1 in part I and any other four question in part II

Question 1

Theory question 1 diagram
  1. The diagram below are illustrations of two cells labelled A and B Study the diagram carefully and answer the questions that follow. Name each of the parts labelled I, II, III and IV. Which of the parts named in (a)(i) is the same as the parts labelled VI and IX in cell B? Which of the cells is a plant cell? Give two reasons for the answer given in (a)(iii). Tabulate two differences between the parts labelled I and V.
  2. The diagram below is an illustration of an experiment carried out in the laboratory. Study the diagram carefully and answer the questions that follow. Read and record the: α) mass of irregular object (M) in I β) Volume of water (V1) in II γ) Volume of water (V2) in III Determine the volume of the irregular object. Calculate the density of the irregular object. Name the instrument that could be used to measure the mass of an irregular object. State one precaution to be taken in performing the experiment.
  3. The following activities were performed in the laboratory by groups of pupils. Study the activities and answer the questions that follow. Camphor was heated. Wood was burnt. Iron nails were heated strongly. Sodium chloride was dissolved in water. Which of the following activities are: (α) chemical processes; (β) physical processes. Give two reasons why the activities listed in: (α) are chemical processes; (β) are physical processes. Give two examples of physical change that take place in your environment.
  4. A farmer cultivated soya bean, yam and maize on a farm in a rotational programme as illustrated below. Study the diagram carefully and answer the questions that follow. Copy and complete the table. List three principles to consider when planning this rotational programme. Give two reasons for selecting the crop named for V in plot 1 year 3. State one advantage of practising this farming system.

PART I [40 marks]

Answer all of Question 1

Questions for this section are in the printed paper.