BECE Mathematics 2015 Paper 2 Past Questions

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Express $$\frac3k - \frac2t$$ as a single fraction

A.^3t-2k/_kt
B.^3t-2k/_t+k
C.¹/_k-t
D.^3t-2k/_kt
E.⁶/_kt

Find the HCF of 9x² and 27xy²

A.9xy
B.9xy
C.3x²
D.3xy
E.3x

Given that $$I = \frac{PRT}{100}$$ make P the subject of the formula

A.p = ^100//_PRT
B.p = ^100/P/_RT
C.p = ^100/R/_IT
D.P = ^100T/_IR
E.P = ^100//_TR

if $$\frac{2}{y+3} = \frac13$$ find y

A.9
B.3
C.1
D.½
E.-2⅓

Solve the inequality $$\frac{y+3}{5} \ge \frac{y+2}{3} + 2$$

A.y ≥ 15½
B.y ≤ 15½
C.y ≤ 0
D.y ≥ -15½
E.y ≤ -15½

6 men can dig a pit for 4 days. How long will it take 4 men working at the same rate to dig same pit?

A.14 days
B.8 days
C.6 days
D.4 days2 days

Simplify the expression 4p+45q-3p-40q

A.7p+95q
B.7p-95q
C.7p+5q
D.p-5q
E.p+5q

If the base of a triangle is 6cm and its area is xcm² find its height in terms of x

A.6x cm
B.3x cm
C.3/x cm
D.x/3 cm
E.x/6 cm

The sum of two consecutive numbvers divided by their positive difference is equal to 9. Find the larger number

A.9
B.8
C.7
D.6
E.5

If a car travels 18km in &frac29; hours. Find the speed of the car

A.4km/h
B.18km/h
C.36km/h
D.81km/h
E.162km/h

Ejiro i s8 years older than her younger sister the sum of their ages is 64years. What is Ejiro's age in years/

A.20
B.28
C.36
D.56
E.64

Simplify $$\frac{4x+1}{{3} - \frac{2x-1}{2}}$$

A.^2x+5/₆
B.^14x/₆
C.^2x-5/₆
D.^14x-5/₆
E.^2x-1/₆

Solve the inequality: 5x≤ 7x + 22

A.x ≤ 9
B.x ≤ 11
C.x ≥ -11
D.x ≤ 22
E.x ≥ 22

Simplify 3(m-2n)-4(m-5n)

A.-13m+20n
B.-m+14n
C.7m+14n
D.7m-26n
E.7m+26n

Simplify 9²-a²

A.81
B.65
C.16
D.9
E.4

Use the table below to answer questions 76 to 79 for the relation 3-x=y

x	-2	-1	0	1	2	3	4
y	F	B	3	2	Z	0	-1

Determine the value of F

A.5
B.4
C.1
D.-3
E.-5

Use the table below to answer questions 76 to 79 for the relation 3-x=y

x	-2	-1	0	1	2	3	4
y	F	B	3	2	Z	0	-1

Calculate the value of B(F-Z)

A.16
B.17
C.18
D.20
E.21

Use the table below to answer questions 76 to 79 for the relation 3-x=y

x	-2	-1	0	1	2	3	4
y	F	B	3	2	Z	0	-1

Determinethe value of ⅓(F+B+3Z)

A.3
B.4
C.5
D.6
E.7

Use the table below to answer questions 76 to 79 for the relation 3-x=y

x	-2	-1	0	1	2	3	4
y	F	B	3	2	Z	0	-1

Determine the value of B-F

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

If the product of 5 and the sum of 10 and a certain number is equal to 15, what is the number?

A.65
B.13
C.-3½
D.-7
E.-35

The area A of a triangle is given by the formula A = ½bh where b is the base of the triangle and h is its height. What will be the base if the area is 50cm² and the height is 5cm?

A.10cm
B.15cm²20cm
C.25cm
D.30cm

Expand (4x-2)(3+x)

A.11x-4x²+6
B.11x-4x²-6
C.4x²+10x-6
D.12x+4x²-6
E.12x+4x²-6+2x

Solve the simultaneous equation:
x+y = 3 and x-y = 5

A.x=3, y=5
B.x=4, y=-1
C.x=5, y=3
D.x=-3, y=-5
E.x=-5, y=-3

In a mixed school of x students, there are y boys. what fraction of the students are girls?

A.^x-y/_xy
B.^x-y/_x
C.^y-x/_x
D.^x/_x-y
E.^x/_y-x

Given that $$y = \frac{x+9}{x-3}$$, find the value of x when y = 4

A.7
B.4
C.3
D.-3
E.-4

Solve the inequality 15 - y> -7

A.y<-23
B.y<7
C.y>-7
D.y>-23
E.y>7

Factorise y² + 6y - 27

A.(y-9)(y-3)
B.(y-9)(y+3)
C.(y+1)(y-27)
D.(y+9)(y-3)
E.(y-1)(y+27)

The figure below represents one of the following inequalities

A.x ≥ 4
B.x > 4
C.x ≤ 4
D.x < 4
E.x ≥ -4

Solve the equation: $$\frac{2x+3}{3} - \frac{3x}2 = -4$$

A.6
B.4
C.3
D.0
E.-6

Evaluate $$\frac{2y-2}{2} + \frac{2y-2}{3}$$ when y = 2

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

If $$\frac{9}{2q} = 10 - \frac8q$$, find the value of q

A.7/20
B.1¼
C.1½
D.1⁷/₁₀
E.1⅘

Three times a number is 7 greater than the number, find the number

A.2
B.2½
C.3
D.3½
E.4

If 2x+3y = 7 and x+y = 6, find y

A.-16
B.-5
C.6
D.11
E.16

Find the LCM of 7xy and 6y²

A.y
B.7xy
C.13xy²
D.42xy²
E.42x²y²

Factorise mn - pq + pn - qm completely

A.(n+q)(m+p)
B.(n+q)(m-p)
C.(n-q)(m+p)
D.(n-q)(m-p)
E.mp(n-q)

Find the product of 9 and the positive difference between 7 and 16

A.9
B.18
C.47
D.81
E.107

The perimeter of a square is less than or equal to 52cm. find the range of values of the lenght of the square

A.L ≤ 50cm
B.L < 50cm
C.L < 25cm
D.L ≤ 12½cm
E.L<12½

Expand (2 - 5a)²

A.-4-20a-25a²
B.4+20a-25a²
C.-4+20a+25a²
D.4+20a+25a²
E.4-20a+25a²

Use the sample above to answer 99 and 100

A.21x
B.11x
C.9x
D.7x
E.2x

Use the sample above to answer 99 and 100

A.5y
B.6y
C.10y
D.11y
E.25y

Simplify 36y - 6 + y + 2 × 4y

A.7y
B.8y
C.15y
D.35y+2
E.41y+8

if y² + 16 = 52, solve for y

A.18
B.14
C.6
D.3
E.-3

The scores of students in a test are given as 34,31,75,49,36,48 and 57. What is the range of the scores?

A.31
B.44
C.48
D.75
E.106

Find the median of the number of goals scored in a football tournament
2,3,2,3,4,1,2.

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

If 20 is the mean of 18,23,x,22 and 20 find x.

A.16
B.17
C.18
D.20
E.22

The table below shows the scores of students in a chemistry examination. Use the information to answer question 106 to 108

Scores	30	35	40	45	50	6
No. of Students	8	12	15	6	5	4

A.30
B.35
C.40
D.45
E.60

The table below shows the scores of students in a chemistry examination. Use the information to answer question 106 to 108

Scores	30	35	40	45	50	6
No. of Students	8	12	15	6	5	4

What is the modal score?

A.30
B.35
C.40
D.45
E.50

The table below shows the scores of students in a chemistry examination. Use the information to answer question 106 to 108

Scores	30	35	40	45	50	6
No. of Students	8	12	15	6	5	4

What percentage of the students scored exactly 50 marks?

A.10%
B.16%
C.24%
D.25%
E.30%

Out of 22 players in a team, 10 of them have an average height of 1.50m while 10 have an average of 1.48m and the remaining players had an average height of 1.60m. What is the mean of the team?

A.1.55m
B.1.50m
C.1.45m
D.1.40m
E.1.35m

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

A.⅙
B.⅓
C.½
D.⅔
E.⅚