Becezone | Mathematics 2015 BECE

Objective Test

Question 1

List the members of the set Q = {Prime factors of 30}

A. {2,3,5}
B. {2,6,10}
C. {3,5,15}
D. {3,6,15}

Question 2

Given that set P = {m,n,o,p}, find the number of subsets of P.

A. 4
B. 8
C. 10
D. 16

Question 3

If M = {Multiples of 4 between 10 and 25} and N = {even numbers between 11 and 23}, find M∪N.

A. {12,16,20}
B. {14,18,22}
C. {12,14,16,18,22}
D. {12,14,16,18,20,22,24}

Question 4

What is the place value of 7 in 24.376?

A. Unit
B. Ten
C. Tenth
D. Hundredth

Question 5

Find the Highest Common Factor of 24, 42 and 72

A. 4
B. 6
C. 7
D. 12

Question 6

Express 1205 as a number in base 10.

A. 25
B. 27
C. 32
D. 35

Question 7

If p × q × r = 1197, and p = 19, q = 3, find r.

A. 21
B. 49
C. 57
D. 61

Question 8

How many integers are within the interval -5 < x < 7?

A. 10
B. 11
C. 12
D. 13

Question 9

Divide 1.612 by 0.4.

A. 4.3
B. 4.03
C. 0.403
D. 0.43

Question 10

Arrange the following fractions in ascending order: \( \frac{5}{8}\), \( \frac{11}{20}\), \( \frac{7}{10}\).

A. \( \frac{5}{8}\), \( \frac{11}{20}\), \( \frac{7}{10}\)
B. \( \frac{7}{10}\), \( \frac{5}{8}\), \( \frac{11}{20}\)
C. \( \frac{11}{20}\), \( \frac{5}{8}\), \( \frac{7}{10}\)
D. \( \frac{5}{8}\), \( \frac{7}{10}\), \( \frac{11}{20}\)

Question 11

Abena spent \( \frac{1}{5}\) of her money on sweets, \( \frac{4}{7}\) on provisions and the rest on gari. What fraction of her money did she spend on gari?

A. \( \frac{2}{35}\)
B. \( \frac{13}{35}\)
C. \( \frac{8}{35}\)
D. \( \frac{5}{35}\)

Question 12

If 5 boys took 14 days to cultivate a piece of land, how long will it take 7 boys working at the same rate to cultivate the land?

A. 14 days
B. 12 days
C. 10 days
D. 8 days

Question 13

A man invested GH₵800.00 in a bank at a simple interest rate of 5% per annum. Find his total amount in the bank at the end of one year.

A. GH₵840.00
B. GH₵860.00
C. GH₵900.00
D. GH₵960.00

Question 14

John sold a car for GH₵60,000.00 and made a profit of 20%. What is the cost price of the car?

A. GH₵48,000.00
B. GH₵50,000.00
C. GH₵72,000.00
D. GH₵132,000.00

Question 15

What is the value of x if \(10^x = 1000? \)

A. 1
B. 2
C. 3
D. 4

Question 16

Express 625.13 in standard form.

A. 6.2513 × 10⁻²
B. 6.2513 × 10⁻⁴
C. 6.2513 × 10²
D. 6.2513 × 10⁴

Question 17

Find the median of the numbers 17,12,15,16,8,18,13 and 14.

A. 8
B. 12
C. 14.5
D. 15.5

Question 18

The ages in years of 10 children at a party are 2,3,3,3,4,4,5,5,5 and 6. If a child is chosen at random, what is the probability that he or she is not less than 5 years old?

A. \( \frac{2}{3}\)
B. \( \frac{5}{12}\)
C. \( \frac{3}{10}\)
D. \( \frac{1}{2}\)

Question 19

Expand (2x + y)(2x - y).

A. 2x² - y²
B. 4x² - y²
C. 2x² + 4xy - y²
D. 4x² + 4xy - y²

Question 20

Find the value of n, if 25.003 = (2 x 10) + (5 x 1) + (3 x n)

A. 0.001
B. 0.011
C. 0.01
D. 0.1

Question 21

Evaluate (3m)² - 3m², when m = 2.

A. 12
B. 18
C. 20
D. 24

Question 22

A wrist watch is priced GH₵2,000.00. A shopkeeper allows a discount of 2% on the cost price.

Find the discount on 20 of such wrist watches.

A. GH₵500.00
B. GH₵600.00
C. GH₵800.00
D. GH₵1,000.00

Question 23

Find the value of m if 4(m + 4) = -8.

A. -6
B. -2
C. 2
D. 6

Question 24

Find the rule for the following mapping:

x 1 2 3 4 5

↓ ↓ ↓ ↓ ↓ ↓

y 1 4 9 16 25

A. y → x + 2
B. y → 2x
C. y → x²
D. y → 2x + 2

Question 25

How many vertices has a cuboid?

A. 6
B. 7
C. 8
D. 14

Question 26

The circumference of a circle is 440 m. Find the area of the circle.

[\(\text{Take } \pi = \frac{22}{7}\)]

A. 14,400 m²
B. 15,400 m²
C. 16,400 m²
D. 18,000 m²

Question 27

What name is given to a triangle which has all its sides equal?

A. Isosceles triangle
B. Scalene triangle
C. Equilateral triangle
D. Right-angle triangle

Question 28

At eight o'clock, which of the following is the angle between the hour and the minute hands of the clock?

A. 150°
B. 120°
C. 90°
D. 60°

Question 29

A rectangular field 50 m wide and y m long requires 260 m of fencing. Find y.

A. 15 m
B. 40 m
C. 80 m
D. 105 m

Question 30

Which of the following best describes the statement: "The locus of a point which moves so that its distance from two fixed points are always equal"?

A. Bisector of angle
B. Perpendicular bisector
C. Circle
D. Two parallel lines

Question 31

The point K(1,5) is rotated through 90° anti-clockwise about the origin.

Find the coordinates of the image of K.

A. (5, -1)
B. (-5, 1)
C. (-1, 5)
D. (1, -5)

Question 32

Kwame is facing west. Through how many degrees should he turn anti-clockwise to face north?

A. 90°
B. 180°
C. 270°
D. 360°

Question 33

Given that vectors \(\mathbf{u} = \begin{pmatrix} -3 \\ 5 \end{pmatrix}\) and \(\mathbf{v} = \begin{pmatrix} 2 \\ -3 \end{pmatrix}\), calculate 2v - u.

A. \(\begin{pmatrix} 1 \\ -11 \end{pmatrix}\)
B. \(\begin{pmatrix} -1\\ -1 \end{pmatrix}\)
C. \(\begin{pmatrix} -7 \\ -11 \end{pmatrix}\)
D. \(\begin{pmatrix} 7 \\ -11 \end{pmatrix}\)

Question 34

What is the name of the figure above?

A. Cuboid
B. Kite
C. Triangle
D. Pyramid

Question 35

Use the magic square below to answer the question:

13	12	17
E	F	10
11	16	G

Find the value of F.

A. 14
B. 15
C. 18
D. 23

Question 36

Find the value of E.