BECE Mathematics 2012 Paper 1 Past Questions

Practice each question, then open it to see the full details.

The sum of a certain number and 16 is 42. What is the number?

A.20
B.22
C.24
D.26
E.28

Find the product of (y-3) and (y+3)

A.y²-6y+9
B.y²-9
C.y²+6y+9
D.y²+9
E.y²+3

A man is 26 years older He is also 8 years than three times his son's age. Find his son's age

A.9 years
B.10 years
C.12 years
D.14 years
E.18 years

the factors of x²+x-12 is

A.(x-4) and (x-3)
B.(x-4) and (x+3)
C.(x+4) and (x-3)
D.(x+3) and (x+4)
E.(x+6) and (x-2)

Simplify $$\frac{2x+1}{2} - \frac{3x-7}{3}$$

A.-2⅚
B.-1⅚
C.2⅚
D.⅙(12x+17)
E.⅙(12x-11)

4x² - 3y - 6x + 2xy

A.(2x-y)(2x-3)
B.(x-2y)(2x-3)
C.(2x+3)(2x+y)
D.(2x+y)(2x-3)
E.(2x-y)(2x+3)

Solve the equation $$\frac{2}{x+2} = \frac{5}{3x-1}$$

A.-12
B.-6
C.6
D.10
E.12

2x+3x+3x-4x = 8x²

A.0 or 4
B.0 or 2
C.0 or 3/4
D.0 or 1/2
E.0 or 1/4

Solve the simultaneous equations:x-2y+3 = 0, 3x+2y = 7

A.x = -4, y = 1
B.x = -3, y = 0
C.x = 1, y = -3
D.x = 1, y = 2
E.x = 2, y = 1

The sum of 2 times a number and 3 times another number is 4. The first number minus the second number is -3. What are the numbers?

A.-3 and 6
B.-1 and 2
C.2 and 5
D.6 and 3
E.7 and 11

The product of 5 and the sum of 12 and a certain number is 10. What is the number?

A.-15
B.-10
C.-5
D.5
E.10

Solve for z if $$\frac4z + \frac 4{3z} = \frac z3$$

A.±3
B.±4
C.±6
D.±16
E.±24

If y-2x = 3, x+y = 3. Find the values of x and y.

A.x = 0, y = 3
B.x = 3, y = 0
C.x = -3, y = 0
D.x = 0, y = 0
E.x = 3, y = -3

If 4x+2y = 0, 3x-y = 5, Find x+y

A.3
B.2
C.1
D.-1
E.-2

Given that 3x+2y = 5, 2x+5y = 3, Find x/y

A.29
B.19
C.17
D.-19
E.-29

Simplify 10x - 7y - 6x + 5y

A.2(4x-2y)
B.2(2x-y)
C.2x-y
D.2x(2x-2y)
E.2(10x-7y)

Find the length of the diagonal of a rectangle whose length and breadth are 4m and 3m respectively

A.6m
B.5m
C.4m
D.3m
E.2m

Solve the equation $$\frac{2x - 3}{7} = 5$$

A.18
B.19
C.20
D.21
E.22

If one tenth of a number is added to 2 the result is half of that number,Find the number

A.2.5
B.3.3
C.4.2
D.5.0
E.6.7

Represent x ≤ on the number line

A.
B.
C.
D.
E.

If a certain number K is added to 6, the result is greater than 3. Find the renge of the values of K

A.k>3
B.k>-3
C.k<3
D.k<-3
E.k≥-3

One-fifth of applicants for a job have masters degree while others have first degree certificates. If there are 50 applicants altogether, how many have first degree certificates?

A.45
B.40
C.30
D.25
E.10

Simplify $$\frac{18^{3}yZ^{3}}{9x^{2}y^{3}Z}$$

A.^2xZ/_y²
B.^2x²Z/_y²
C.^x²Z/_2y
D.^x²Z²/_2y
E.^2xZ²/_y²

$$\frac{x - 5}{3} = \frac{x - 1}{4}$$

A.17
B.14
C.10
D.-4
E.-10

$$\frac{1}{2b} + \frac{2}{b-5}$$

A.⁵/_2b
B.^5(b-1)/_2b(b-5)
C.^b/_2b
D.^2(b-5)/_5b(b+1)
E.^5+4b/_{b² - 10b}

Which of the following inequalities represents the number line shown below

A.x ≤ 2
B.x < 2
C.x > 2
D.x ≥ 2
E.x ≤ -2

Solve the equation $$\frac{y-3}{3} - \frac y2 = 0$$

A.-3
B.-4
C.-6
D.-8
E.-10

Use the table below to answer this question Given that 2x + 5y = 25

x	-2	-1	0	1	2	3
y	p	5.4	q	4.6	4.2	r

Find the value of p from the table above.

A.4.2
B.4.4
C.4.6
D.5.4
E.5.8

Use the table below to answer this question Given that 2x + 5y = 25

x	-2	-1	0	1	2	3
y	p	5.4	q	4.6	4.2	r

Determine the value of q

A.2
B.3
C.4
D.5
E.6

Use the table below to answer this question Given that 2x + 5y = 25

x	-2	-1	0	1	2	3
y	p	5.4	q	4.6	4.2	r

Calculate the value of 2q - r

A.1.2
B.3.2
C.3.1
D.6.2
E.7.2

Use the table below to answer this question Given that 2x + 5y = 25

x	-2	-1	0	1	2	3
y	p	5.4	q	4.6	4.2	r

What is the value of p+1+r

A.5.6
B.8.6
C.9.6
D.13.6
E.14.6

A pair of trousers cost N1,600.00 and a pair of shoes costs Nq. If the two cost N2,800.00 altogether, what is the cost of the pair of shoes?

A.N1,200.00
B.N1,300.00
C.N1,450.00
D.N1,600.00
E.N1,750.00

Find the sum of the mode and mean of the following set of numbers: 2,3,2,1,3,3.

A.2.3
B.3.0
C.4.5
D.5.3
E.6.0

Find the mean of 4,2,1,5,3,5,1

A.3.4
B.4.1
C.4.3
D.5.2
E.6.1

Which of these has the same meaning as arithmetic average?

A.Mean
B.Median
C.Mode
D.Range
E.Standard deviation

Use the information below to answer this question.
8 teams were involved in a football and hockey competition. Their goals in both football and hockey are in the table below

Teams	A	B	C	D	E	F	G	H
Football	3	2	0	3	5	8	5	1
Hockey	8	5	9	3	1	2	0	4

What is the total goals scored in Hockey?

A.9
B.10
C.11
D.27
E.32

Use the information below to answer this question.
8 teams were involved in a football and hockey competition. Their goals in both football and hockey are in the table below

Teams	A	B	C	D	E	F	G	H
Football	3	2	0	3	5	8	5	1
Hockey	8	5	9	3	1	2	0	4

Which team scored the highest number of goals in the competition?

A.A
B.B
C.C
D.F
E.G

What is the mode of the following set of number?
10,10,7,13,13,15,12,11,11,10,9,13,8,7,8,9,10

A.4
B.9
C.10
D.11
E.13

The Diagram below shows the distribution of students in a Junior Secondary School.
Use the information to answer this question
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What is the fraction of the whole school is JSS1?

A.5/18
B.11/36
C.1/3
D.5/12
E.1/2

The Diagram below shows the distribution of students in a Junior Secondary School.
Use the information to answer this question

If there are 180 students in the school, how many are in JSS2?

A.125
B.75
C.55
D.50
E.45

The mean age of five pupils whose ages are 6,9,x,7,8 is 8 years. Find the median age

A.6 years
B.7 years
C.8 years
D.9 years
E.10 years

Four students have a mean weight of 26kg. When they are joined by a fifth student, their mean weight decreased to 24kg. What is the weight of the fifth student?

A.26kg
B.24kg
C.20kg
D.18kg
E.16kg

Jones rolls a fair die once, what is the probability of obtaining an odd number

A.1/5
B.1/4
C.1/2
D.3/5
E.2/3

a fair coin is tossed once. What is the probability of having a tail?

A.1/6
B.1/3
C.1/2
D.5/6

The scores of selected students in a mock examination are given as 43,13,57,49,63,84 and 75. What is the range of the marks?

A.13
B.32
C.71
D.84
E.118

The following is the distribution of the number of eggs laid by 20 hens in one week in a certain poultry farm. Find the range of the distribution

No of egg	1	2	3	4	5
Frequency	3	2	3	2	10

A.10
B.8
C.7
D.4
E.1

The pie chart below shows the distribution of Mr. Tanko's income in a month
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Find the median of the following numbers: 16,8,12,10,13,14,8,6,4,16 and 16

A.12
B.13
C.14
D.16
E.17

The table below shows the distribution of rainfall in thousands (mm³) from January to May in a particular village.

Month	Jan	Feb	Mar	Apr	May
Amount of rainfal	35	42	50	65	78

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What is the percentage of the rainfall in February in that village?

A.15.56%
B.18.52%
C.24.07%
D.28.89%
E.42.00%

Find the probability of obtaining an even number when a fair die is thrown once

A.3/4
B.2/3
C.1/2
D.1/4
E.1/5