# 2022 BECE Mathematics Questions: WAEC can ask these questions

2022 BECE Mathematics Questions: If WAEC asks these kinds of questions so why not prepare for it. Do well to show workings when solving to that you can earn full marks for the section B questions.

## 2022 BECE Mathematics Questions: If WAEC asks these kinds of questions

(a) In a school of 255 students, 80 of them study Arabic only and 125 study French

only. Each student studies at least one of the two subjects

(i) Draw a Venn diagram to represent the information

(ii) How many students study

(α) both subjects?

(β) French?

(b) Make h the subject of

(c) A bookseller bought 80 copies of books at GH¢ 3.50 per copy. He sold each of

them at GH¢ 4.20. Find

(i) the total cost price

(ii) his percentage profit

SOLUTION TO QUESTIONS ONE

- (a) (i) Let U = Number of students in the school

b = Number of students who study both Arabic and French

The Venn diagram is shown below

(ii) (α) From the Venn diagram above,

80 + b + 125 = 255

⇒ b + 205 = 255

⇒ b = 255 – 205 [Subtracting 205 from both sides (carrying + 205 to the other side)]

⇒ b = 50

⇒ 50 students study both Arabic and French.

(β) Number of French students = b + 125

= 50 + 125

= 175

2022 BECE Mathematics Questions: If WAEC asks these kinds of questions

- (a) (i) Ama scored 82, 74 and 90 in three tests. What mark should she score in the

fourth test so that her average mark for the four tests would be 85?

(ii) What was her median score in the four tests?

- (a) In an examination, 60 candidates passed Integrated Science or Mathematics. If 15 passed

both subjects and 9 more passed Mathematics than Integrated Science, find the:

(i) number of candidates who passed each subject

(ii) probability that a candidate passed exactly one subject.

(b) Factorize: xy+6x+3y+18.

2022 BECE Mathematics Questions: If WAEC asks this kind of questions

Suggested Solutions

(a) Let U be the universal set

X – Number of students who passed integrated science

Y – Number of students who passed Mathematics

Solving this question requires the use of venn diagrams.

From the informationtion given

X n Y = 15

9 more students passed mathematics than integrated science

Hence Y = x+9

Solving for x

x+9-15+15+x-15=60

2x-6=60

2x=66

X = 33

Number of students who passed math only = x+9-15 = 27

Number of students who passed science = 33-15 = 18

Probability of passing only one subject = (18+27)/60 = 3/4

(b) Factorize: xy+6x+3y+18.

xy+6x+3y+18

x(y+6)+3(y+6)

(x+3)(y+6)

4. The marks obtained by students in a class test were

4 8 7 6 7

2 1 7 4 7

3 7 8 4 3

7 5 2 7 2

5 4 8 3 2

(a) construct a frequency distribution table for the data.

(b) Find the:

(i) mode of the distribution;

(ii) median mark of the test;

(iii) mean mark.

## 2022 BECE Mathematics Questions: If WAEC asks these kinds of questions

(a) Using a ruler and a pair of compasses only, construct

(i) triangle ABC such that │AB│ = 8cm, angle CBA = 45° and CAB = 60°.

(ii) the bisector of angle ACB to meet AB at T

(b) Measure

(i) │CT│;

(ii) angle CTB.

(c) A boy spent 3/8

of his money and had GH¢ 15.00 left. How much did he have?

## The following are likely questions you will come across in BECE Mathematics Objective Questions.

What is the place value of 7 in the number 526.97? A. 7 hundreds B. 7 Tens C. 7 Units D. 7 Tenths E. 7 Hundredths

Find the positive difference between -8 and -14 A. -22 B. -6 C. 11 D. 22 E. 6

Find the smallest number that 60 must be multiplied with to give a perfect square A. 15 B. 10 C. 6 D. 5 E. 3

A man spends 1/4 of his monthly income on children’s school fees and 3/5 on home affairs. What fraction of his come is left?

Find the value of 16 x 2 – 3 + 14 ÷ 7 A. 15 B. 20 C. 26 D. 28 E. 31

The sum of angles on a straight link is A. 90 degrees B. 45 degrees C. 135 degrees D. 180 degrees E. 270 degrees

If the bearing of A from B is 135 degrees, what is the bearing of B from A? A. 90 degrees B. 45 degrees C. 135 degrees D. 315 degrees E. 360 degrees

Approximate 5.7255 to the nearest thousandth. A. 5.7 B. 5.725 C. 5.7255 D. 5.726 E. 73

Write in figure: six hundred and fifty-eight million, one hundred and twenty-five thousand and one. A. 658,125,100 B. 658,125,101 C. 658,125,001 D. 658,125,000 E. 658,105,001

Find the diameter of a circle whose circumference is 44cm A. 44cm B. 28cm C. 22cm D. 14cm E. 7 cm

Express 0.00254 in standard form. A. 2.54 x 10-1 2.54 x 10-2 C. 2.54 x 10-3 D. 2.54 x 10-4E. 2.54 x 10-5

Find the sum of prime factors in 60. A. 5 B. 7 C. 8 D. 10

Round off 6827 to the nearest ten. A. 6820 B. 6821 C. 6830 D. 6900 E. 7000

Express N32.00 as a ratio of N72.00. A. 34:16 B. 16:34 C.9:4 D. 4:9 E. 1:2

Find the L.C.M. of 20a2 and 32ab. A. 4a B. 16a2b C. 160a2b D. 160ab2 320a2b

Add the following 1011two, 1111 two and 101111 two. A. 111110 two 10111two C. 1001001 two D. 1001101 two E. 11001101 two

Find the H.C.F of 108 and 72. A. 9 B. 18 C. 27 D. 36 E. 72

Increase 4500kg by 15%. A. 300kg B. 675kg C. 3825kg D. 5175kg E. 67500kg

Find the product of the L.C.M. and H.C.F. of the following numbers 9, 12 and 18. A. 6 B. 18 C. 36 D. 108 E. 216

If N240,000.00 is shared among 3 people in the ratio 5:4:3, what is the least share? A. N100,000.00 B. N96,000.00 C. N80,000.00 D. N60,000.00 E. N52,000.00

Find the simple interest on N30,000.00 for 3½ years at 5% per annum. A. N5,250.00 B. N5,775.00 C. N10,750.00 D. N11,550.00 E. N15,770.00

Find the square root of 9 x 16 x 25. A. 3600 B. 360 C. 60 D. 25 E. 9

A desktop computer is bought for N45,000.00 and sold for N30,000.00. Find the loss per cent. A. 45.00% B. 33.33% C. 30.00% D. 15.33% E. 00%

Arrange in descending order of magnitude 3/5, ½, 4/7, 5/9 A. 3/5, 4/7, 1/2., 5/9 B. ½, 4/7, 3/5, 5/9 C. 3/5, 4/7, 5/9, ½ D. 4/7, 3/5, ½, 5/9 E. 5/9, 3/5, 4/7, ½.

On every sale of goods worth N10,000.00, there is a commission of N550.00. If an agent delivers N150,000.00, find his commission. A. N1,250.00 B. N2,250.00 C. 4,150.00 D. N7,250.00 E. 8,250.00

Multiply 1001101two by 111two. A. 1001101two B. 1000101two C. 1001001two D. 1010001two E. 10011two

A Toyota Hilux uses 100 litres of fuel in a distance of 250km. How many litres of fuel will it use for a distance of 150 kilometres? A. 50 litres B. 60 litres C. 80 litres D. 133 litres E. 375 litres

Reciprocal of 0.65 to three significant figure is? A. 1.54 B. 1.538 C. 1.53 D. 1.500 E. 54

The length of a basketball pitch can be divided into 12 parts, each 25cm long. How many parts, each 20cm long can be obtained from the pitch? A. 12 B.13 C.14 D.15 16

What is the probability that a pregnant woman will give birth to a boy? A. 1 B. 1/2 C. 1/3 D1/4

Read Also: How to check BECE result

READ: WAKE UP: Solve These 2022 BECE Mathematics Questions Now

Check the videos above for more Questions. Questions will come from the hot topics I highlighted earlier. Example of maths theory question that has been asked before in BECE and likely to be repeated in 2022 are:

Simplify 2a + 14 – 4a – 7 + 8a

4 men can do a piece of work in 8 days, how many days would it take 16 men working at the same rate?

The height of an equilateral triangle is 15cm and its base is 36cm. Find the area of the triangle

If the mean of 3,2,x,11,13,14, is 8, find the value of x

Ada, Musa and Femi are to share N27,000 in the ration of 2:3:5 respectively. How much will each of them receive?

If a plastic cup costs N80 and 1/2 dozen of it costs N42o, find the discount in 1/2 dozen

Find the value of Y if Y base 2 times 101 base 2 equals 110111 base two

The product of three numbers is 3150. Two of the numbers are 14 and 15. Find the number.

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