BECE Mathematics 2016 Paper 2 Past Questions

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

Solve the equation 1/2-6/x = 2

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

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

A.^x-13/₁₂
B.^13-x/₁₂
C.^-x-13/₁₂
D.^x+13/₁₂
E.^13x/₁₂

Factorise wxy + wxz

A.wx(y+z)
B.yz(w+x)
C.w(xy + xz)
D.yz(wx+yx)
E.x(wy+wz)

Factorise x² - 2x

A.(x+1)(3-x)
B.(x+1)(x-3)
C.(x-1)(x-3)
D.(x-1)(x-2)
E.(x+1)(x+3)

Simplify $$\frac2x - 1 + \frac1{2x}$$

A.^3-2x/_2x
B.^4-3x/_2x
C.^6x/_2x
D.^5-2x/_2x
E.^1-2x/_2x

Find the sum of 3x(1-6x), 4x and x.

A.1-2x
B.1-3x
C.2x+1
D.2x-1
E.14x+1

A number which is one more than n is

A.1-n
B.n+1
C.n-1
D.2n
E.n

Simplify x(1-2y²) - 3y²(x+3)

A.x+5xy²-9y²
B.x-5xy²-9y²
C.x-5xy²+9y²
D.9y²-x-5xy²
E.9y²+x+5xy²

A man bought a house for Nx and sold it for Ny. what was his profit?

A.N(x+y)
B.N(y-x)
C.N(y/x)
D.N(x/y)
E.Nxy

A car travels x kilometres in 3 hours. How far can it travel in 12 hours?

A.^x/₄km
B.^x/₃km
C.4x km
D.12x km
E.36x km

Factorise x² - 81

A.(x+9)(x+9)
B.(x-9)(x-9)
C.(x+9)(x-9)
D.9x(x-9)
E.x(x-81)

Simplify $$\frac{12x-6x+6x}{3x^3}$$

A.x²+2x+6
B.4x²-2x+2
C.4x²-2x-2
D.3x²+3x-2
E.4x²+2x+2

If 2:3 is expressed in the form x:12, find the value of x

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

if p ∞q and p = 6 when q = 2, Find the formula connecting p and q

A.p = ^q/₁₂
B.p = ^q/₃
C.p = 3q
D.p = 4q
E.p = 12q

Solve the equation $$\frac{x-3}{6} = \frac{x-5}{4}$$

A.3
B.5
C.8
D.9
E.18

Expand (2x-1)(x-3)

A.2x²-7x+3
B.2x²+7x+3
C.2x²-\x-32x²+7x-3
D.x²+7x-3

If 2x⊃ - 3y = 8, Find the positive value of x when y = 14

A.5
B.8
C.25
D.42
E.50

Simplify 3(4a+7) - 2(2a-5)

A.2a+12
B.4a+3
C.8a+31
D.6a+41
E.2a

When 2 is added to two-fifth of a certain number the result is 6. Find the number.

A.2
B.5
C.6
D.10
E.20

If x varies inversely as p² and x = 2 when p = 4, find the formula connecting x and p

A.x = ³²/_p²
B.x = 32p²
C.x = sup>16/_p²
D.x = 16p²
E.x = ⁸/_p²

The side of the equilateral triangle below is given in cm. Find the values of x and y

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

Simplify 7t - 3t + 4t - 5t

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

which of the following inequalities is represented in the figure below?

A.x≤1
B.x≤3
C.x≤2
D.x≥2
E.x<2

Factorise 4x² - 16x

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

Find the L.C.M of x², xy and yz

A.x²yz
B.xyz
C.x²y²z
D.xy²z
E.xyz²

Solve the inequality 4x-1≤12x-11

A.x≥1¼
B.x≤1¼
C.x≥⅘
D.x≤⅘
E.x≤¼

Which of the following inequalities is not correct?

A.-2>-3-4
B.-3<5-6
C.19>-15+25
D.30<-45+7
E.-20<-7

Find the value of t in the equation
2t - 7 = 15

A.4
B.5
C.10
D.11
E.22

Find the positive difference between the coefficients of x² and x in the expression 3x²-2x+1

A.-5
B.-1
C.0
D.1
E.5

Solve $$\frac{(a+4)}{3} = 2(a-1)$$

A.2
B.5
C.7
D.8
E.10

Divide 18pr⁶ by 6pr²

A.3pr³
B.3r⁴
C.3r⁵6r⁶
D.12r⁴

Find the values of x and y if y-x = 4 and 2x-y = 1

A.x=5,y=9
B.x=5,y=-9
C.x=-5,y=-9
D.x=-5,y=9
E.x=9,y=5

Simplify $$\frac{9xyz}{27x^2y}$$

A.xyz²
B.3xyz
C.xy/3
D.xyz/3
E.3/xyz

If x=3y-1 and 2x=3y+2 find the value of x

A.-9
B.-4
C.3
D.7
E.9

Factorise yf-cg-yg+cf

A.(y+c)(f-g)
B.(y+c)(f+g)
C.(f-g)(y-c)
D.(y-c)(f+g)
E.(yc+1)(f-g)

If x is an odd number the sum of x and the next odd number is

A.x+1
B.x+2
C.2x+1
D.2x+2
E.2x+4

A father is twice as old as his son. what is the sum of their ages, if the sons age is x years?

A.x+2
B.2x
C.2(x+1)
D.3x
E.3x+2

Simplify 9m - ⅓(3+m)

A.^26-3/₃
B.9m-1
C.²⁶⁺³/₃
D.²⁶⁺⁹/₃
E.9m+1

Use the table below to answer this 0questions for the relation y = 2x+5

x	-2	-1	0	1	2	3	4
y	A	3	5	B	9	C	13

Determine the value of A

A.-2
B.-1
C.0
D.1
E.2

Use the table below to answer this 0questions for the relation y = 2x+5

x	-2	-1	0	1	2	3	4
y	A	3	5	B	9	C	13

Calculate A(C-B)

A.-4
B.-2
C.0
D.4
E.6

Use the table below to answer this 0questions for the relation y = 2x+5

x	-2	-1	0	1	2	3	4
y	A	3	5	B	9	C	13

Evaluate ½(2A+B+C)

A.3
B.4
C.5
D.6
E.10

Use the table below to answer this 0questions for the relation y = 2x+5

x	-2	-1	0	1	2	3	4
y	A	3	5	B	9	C	13

A.-16
B.-4
C.4
D.16
E.20

Which of the following is used to determine the middle number in a set of numbers?

A.mean
B.median
C.mode
D.pie chart
E.range

In a class of 20 students, 6 have an average 0f 40%, 8 have an average of 50% while the other 6 have an average of 60%. What is the average score for the whole class?

A.40%
B.50%
C.60%
D.85%
E.70%

Find the mean of the following set of numbers: 2,2,,3,5,5,6,6,8,8

A.10.2
B.8.4
C.5.2
D.4.8
E.2.8

From the given set of numbers 9,4,7,2,9,5,8 Find the median

A.2
B.4
C.5
D.7
E.9

Find the mode of the given set of numbers;5,5,7,7,7,7,11,12,12,15,16,16,16,19,22,22

A.5
B.7
C.12
D.16
E.19

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

A.-1
B.-½
C.0
D.½
E.1

Find the mean of the following set of numbers: 6,5,3,4,7,9,2,3,4,5.

A.4.5
B.4.8
C.7.0
D.8.0
E.9.0

A fair die is tossed once. What is the probability of obtaining a prime number?

A.⅙
B.⅓
C.½
D.⅔
E.⅚