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13th May, 2025 6:58 PM

BECE

BECE 2006 - MATHEMATICS [PAPER I]

OBJECTIVE TEST

1.

 

If Q = {1, 3, 5, 7, 9, 11, 13, 15} and
R = {1, 2, 3, 5, 6, 7, 10, 11, 12}, find
Q ∩ R

A. 

 

{1, 3, 5, 7, 11}

B. 

 

{1, 3, 5, 7, 9, 11}

C. 

 

{2, 4, 8, 9, 13, 14}

D. 

 

{1, 2, 3, 5, 6, 7, 9, 10, 11, 12}

2.

 

If x is an integer, list the members of the set, {2 ≤ x < 10}.

A. 

 

{3, 4, 5, 6, 7, 8, 9}

B. 

 

{2, 3, 4, 5, 6, 7, 8, 9}

C. 

 

{3, 4, 5, 6, 7, 8, 9, 10}

D. 

 

{2, 3, 4, 5, 6, 7, ,8, 9, 10}

3.

 

Simplify 43x - 29x

A. 

 

29x

B. 

 

23x

C. 

 

109x

D. 

 

149x

4.

 

The number of boys in a school is 120. If the ratio of boys to girls is 5 : 7, find the total number of students in the school.

A. 

 

240

B. 

 

288

C. 

 

600

D. 

 

840

5.

 

Find the circumference of a circle with radius 3.5 cm.

[Take π = 227]

A. 

 

11 cm

B. 

 

22 cm

C. 

 

35 cm

D. 

 

38.5 cm

6.

 

Which of the following are the prime factors of 12?

A. 

 

{1, 3}

B. 

 

{2, 3}

C. 

 

{2, 4, 6, 12}

D. 

 

{2, 3, 4, 6}

7.

 

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter?

A. 

 

x + 7

B. 

 

x + 14

C. 

 

2x - 7

D. 

 

2x + 7

8.

 

Correct 0.003858 to three significant figures

A. 

 

0.00385

B. 

 

0.00386

C. 

 

0.0039

D. 

 

386

9.

 

Find the value of a – 3ab when a = -2 and b = 3

A. 

 

-20

B. 

 

-16

C. 

 

16

D. 

 

20

10.

 

A boy sold some oranges at three for ₵500.00. If his total sales was ₵100,000.00, how many oranges did he sell?

A. 

 

300

B. 

 

400

C. 

 

500

D. 

 

600

11.

 

A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?

A. 

 

2 hours

B. 

 

3 hours

C. 

 

4 hours

D. 

 

5 hours

12.

 

Which of the following figures is a rhombus?

A. 

 

B. 

 

C. 

 

D. 

 

13.

 

Three children share an amount of ₵910,800.00 in the ratio 2 : 3 : 4. What will be the highest share?

A. 

 

₵202,400.00

B. 

 

₵303,600.00

C. 

 

₵404,800.00

D. 

 

₵455,400.00

14.

 

The next term in the sequence 3, 6, 12, 24, ...

A. 

 

27

B. 

 

30

C. 

 

36

D. 

 

48

15.

 

Express 350 as a product of prime factors

A. 

 

2 × 5 × 7

B. 

 

2 × 5² × 7

C. 

 

2 × 5 × 7²

D. 

 

2² × 5 × 7

16.

 

Express 962 in standard form.

A. 

 

96.2 x 10

B. 

 

9.62 x 10²

C. 

 

0.962 x 10³

D. 

 

0.0962 x 10⁴

17.

 

Which of the following inequalities is shown on the number line above, where p ∈ {real numbers}?

A. 

 

-2 < p < 3

B. 

 

-2 ≥ p > 3

C. 

 

-2 < p ≤ 3

D. 

 

-2 > p ≥ 3

18.

 

Solve the equation x + 23 + 2x = 10.

A. 

 

3

B. 

 

4

C. 

 

5

D. 

 

6

19.

 

Arrange the fractions 34 , 23, 45 in ascending order of magnitude.

A. 

 

34 , 23, 45

B. 

 

45, 23, 34

C. 

 

45, 34, 23

D. 

 

23, 34, 45

20.

 

Express 87_ten as a base five numeral.

A. 

 

302_five

B. 

 

322_five

C. 

 

3022_five

D. 

 

3202_five

21.

 

A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

A. 

 

111

B. 

 

15

C. 

 

511

D. 

 

611

22.

 

Evaluate 23x34x3322x2x35

A. 

 

6

B. 

 

9

C. 

 

12

D. 

 

18

23.

 

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

How many people are in the club?

A. 

 

15

B. 

 

20

C. 

 

30

D. 

 

38

24.

 

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

What is the modal age of the members of the club?

A. 

 

8 years

B. 

 

9 years

C. 

 

10 years

D. 

 

11 years

25.

 

In an examination, 154 out of 175 candidates passed. What percentage failed?

A. 

 

6%

B. 

 

12%

C. 

 

13%

D. 

 

18%

26.

 

Expand (6 – x)(6 + y)

A. 

 

36 – 6x + 6y – xy

B. 

 

36 – 6x – 6y + xy

C. 

 

36 – 6x – xy

D. 

 

36 + 6y – xy

27.

 

Find the highest common factor (HCF) of 20, 12 and 28.

A. 

 

2

B. 

 

4

C. 

 

8

D. 

 

12

28.

 

If F =95C + 32, find F when C = 40.

A. 

 

49

B. 

 

78.4

C. 

 

104

D. 

 

129.6

29.

 

Evaluate 23(27 - 12) - 6.

A. 

 

4

B. 

 

6

C. 

 

14

D. 

 

16

30.

 

In the figure PQR is a straight line. Angle TQP = x°, angle TQS = 102° and angle SQR = 2x°. Find the value of x.

A. 

 

78

B. 

 

39

C. 

 

34

D. 

 

26

31.

 

Factorize 22ab – 11ac + 6rb – 3rc.

A. 

 

(2b – c) (11a + 3r)

B. 

 

(2b + c) (11a – 3r)

C. 

 

(2b – c) (11a – 3r)

D. 

 

(2b + c) (11a + 3r)

32.

 

Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)

A. 

 

198.6

B. 

 

198.7

C. 

 

892.0

D. 

 

892.4

33.

 

Simplify 6p³ × p² ÷ 3p⁴

A. 

 

2p

B. 

 

3p

C. 

 

18p

D. 

 

2p²

34.

 

Mr. Nkrumah saved ₵75,000.00 at a simple interest rate of 20% per annum for 3 years. Calculate the interest he earned on his savings

A. 

 

₵15,000.00

B. 

 

₵30,000.00

C. 

 

₵45,000.00

D. 

 

₵60,000.00

35.

 

Find the rule for the mapping:

1	2	3	4	5	...	n
↓	↓	↓	↓	↓	↓	↓
10	21	32	43	54	...	-

A. 

 

n → 10n

B. 

 

n → (10n + 1)

C. 

 

n → (11n - 1)

D. 

 

n → (7n + 3)

36.

 

What is the value of the digit 9 in the number 624.93 ?

A. 

 

9 hundreds

B. 

 

9 tens

C. 

 

9 units

D. 

 

9 tenths

37.

 

The marks obtained by 5 girls in a test are: 10, 15, 8, 18, 12.

Find the median mark.

A. 

 

10

B. 

 

11

C. 

 

12

D. 

 

15

38.

 

The point P(3, 4) is translated by the vector (3-2) to a new position P^'. Find the coordinates of the image P^'

A. 

 

(0, 2)

B. 

 

(6, -2)

C. 

 

(6, 2)

D. 

 

(6, 6)

39.

 

In the diagram above, KGM is a right-angled triangle and angle GKM = 62°. Find the angle of elevation of K from M.

A. 

 

28°

B. 

 

62°

C. 

 

90°

D. 

 

118°

40.

 

Given that vector a = (-23) and vector b = (2-5), find a + 2b.

A. 

 

(613)

B. 

 

(2-13)

C. 

 

(-27)

D. 

 

(2-7)

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