BECE Mathematics 2018 Paper 2 Past Questions

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

Factorize ef + df - dg -es

A.(e-d)(f+g)
B.(e-d)(f-g)
C.(e+d)(f-g)
D.(e+d)(f+g)
E.f(e+d)

Expand -3x(-4p + 7n)

A.12xp+21xn
B.12xp-21xn
C.12xp-10xp
D.21xn-21xp
E.-12xp-21xn

Solve the equation 4/x = 8

A.⅛
B.¼
C.⅓
D.½
E.1

Solve the equation 1/m = 4/5

A.1¼
B.1½
C.2½
D.2⅔
E.3¼

Simplify (x+1)(x-1)+2x²

A.2x² - 1
B.2x² + 1
C.3x² - 1
D.3x² + 1
E.3x² + 2

Simplify (x+2)(x-1)-2(x+1)

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

If 45 is added to a certain number and the result is divided by 9, the quotient is 8. What is the number

A.12
B.19
C.25
D.27
E.29

Factorize 32x²y - 8yz²

A.8y(2x-z)
B.8y(2x+z)
C.8y(2x-z)(x+2x)
D.8y(z-2x)(z+2x)
E.8y(2x+z)(2x+z)

Solve the simultaneous equations x+y = 2 and x-y = 1

A.x = -1, y = 1
B.x = -1, y = 1
C.x = 1, y = ½
D.x = &frac32;, y = ½
E.x = &frac43, y = &frac32;

If a certain number x is doubled, the result is less than or equal to 12. Find the range of values of the nyumber

A.x≥6
B.x>6
C.x≤12
D.x≤6
E.x<12

Solve for y if 12 - 3y < 6

A.y<-2
B.y>-2
C.y<2
D.y>2
E.y>6

Solve the equation $$\frac{8}{4(x-2)} = \frac{1}{10}$$

A.10
B.18
C.20
D.22
E.25

Solve the simultaneous equations: x+2y=1, 2x+5y = 4

A.x = -3, y = 2
B.x = 3, y = 2
C.x = 2, y = 5
D.x = -2, y = 5
E.x = 1, y = 4

Use the table below to answer questions 74 and 75 for the relation y = 2x + 5, for the values of x From -4 to 4

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

Find the value of B

A.-3
B.1
C.3
D.4
E.7

Use the table below to answer questions 74 and 75 for the relation y = 2x + 5, for the values of x From -4 to 4

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

Calculate the value of BC + AD

A.10
B.11
C.13
E.14

Niyi thinks of a number and subtracts 2 from it. He divides 32 by the result. if his answer is 4, what number does he think of?

A.2
B.4
C.6
D.8
E.10

Solve x+y=5 and 2x-y=3 simultaneously.

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

Expand(n+5)(n-4)

A.n² + n +20
B.n² +n - 20
C.n² - 9n - 20
D.n² + 9n - 20
E.n² - n - 20

²/⁹ of the spectators in a football match are males, if 200 of them are females, how many spectators are there in the competition

A.360
B.400
C.450
D.540
E.630

Solve the equation $$\frac23 = \frac{2}{3(x+1)}-\frac13$$

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

Find the L.C.M of 9ab, 18b², 18b² and 3ab

A.3b
B.18b
C.18ab
D.18a²b
E.18ab²

Simplify 1/p + 1/q

A.^p+q/_p
B.^p+q/_pq
C.^p/_p+q
D.^q/_p-q
E.^q-p/_pq

Find the value of x, if $$\frac{3x}2 + 5 = 8$$

A.2
B.4
C.5
D.9
E.11

Factorize a² - b²

A.(a+b)(a+b)
B.(a+b)(a-b)
C.(a-b)(a-b)
D.(b+a)(a-b)
E.(b-a)(a-b)

Solve for x, if 6x + 8 = 21 + 5x

A.3
B.6
C.8
D.10
E.13

Factorize y² + 9xy

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

Find the coefficient of x in the expansion of (x+2)(x+7)

A.1
B.2
C.7
D.9
E.14

Solve the equation $$\frac{5p-4}{3} = p + 2$$

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

Solve $$\frac{2}{y-3} = \frac{4}{3y+5}$$

A.-22
B.-11
C.-2
D.2
E.11

If 22 is added to a number and then the sum is divided by 2. the result is 6 times the number. Find the number

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

The figure below represents one of the following inequalities

A.x<1½
B.x≤1½
C.x≥1
D.x>1
E.x≥1½

Use the graph below to answer questions 32 and 33

Find the co-ordinate of the point k

A.(-4,4)
B.(-4,6)
C.(-2,3)
D.(3,-2)
E.(6,-4)

Use the graph below to answer questions 32 and 33

Subtract the co-ordinate of the point L from that of point K

A.(-2, -6)
B.(2, -1)
C.(2, 1)
D.(6, - 6)
E.(6, - 4)

Solve ⅓(x-1)>3

A.2x-1>4
B.x+<9
C.x>9
D.x<10
E.x>10

Twice a certain number y is less than or equal to 6. Find the range of values of the number

A.y<3
B.y>3
C.y≤3
D.y≥3
E.y<6

Solve the equation $$\frac{1}{a-5} = \frac15$$

A.5
B.7
C.10
D.15
E.17

Solve the equation $$\frac{1}{9x+5}+ \frac14 =0$$

A.-9
B.-1
C.0
D.1
E.9

Solve the simultaneous equations 3x + 4y = 11, x + 6y = 13

A.(-1, 2)
B.(1,2)
C.(-2,3)
D.(2,3)
E.(0,1)

There are two numbers. The sum of 4 times the first number and 3 times the second number and 3 times the second number is 24. The difference between 2 times the first number and 3 times the second number is 12. Find the two numbers

A.(6,0)
B.(0,3)
C.(3,6)
D.(3,4)
E.(4,3)

Find the product of the coefficients of x and xy in the expansion of (2x - 3y)(3x - 2y)

A.-78
B.-45
C.-25
D.-4
E.-1

Chioma is older than Chidi by 5 years three years ago, The ratio of their ages was 5;3. Find the present age of chidi

A.7½ years
B.10½ years
C.12½ years
D.14½ years
E.15½ years

If the same number is added to both the numerator and deniminator of the fraction 6/9, the result is ⅖
What number is added

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

Six students sat for Mathematics examination and scored the following marks 12,5,11,8,6,4,4,. Find the median marks

A.4
B.5
C.6
D.7
E.14

TYhe bar Chart below shows the pocket money received by students in a class in a month. Calculate the mode

A.200
B.400
C.600
D.800
E.1000

Find the mean of 3x, x, 4.5s, 4x, 2.5x and 3x

A.3x
B.4.5x
C.6x
D.8x
E.10x

If 12 is the mean of the following set of numbers: 12,10,x,8,10, find the value of x

A.12
B.15
C.20
D.40
E.60

If the mean score of 12 students in a mathematics test is 5 and the mean score of another 10 students is 6 calculate the average score of the 22 students to the nearest whole number

A.4
B.5
C.6
D.7
E.8

A dice is thrown once. What is the probability that an odd number does not show up?

A.¾
B.½
C.¼
D.⅙
E.¹/₁₂

The scores obtained by 15 students in a mathematics examination are as follow:
70,60,70,58,62,58,70,68,58,51,70,58,59,57,58
Use the above information to answer questions 109 to 111.

How many students scored 58 or more?

A.5
B.8
C.13
D.15
E.18

The scores obtained by 15 students in a mathematics examination are as follow:
70,60,70,58,62,58,70,68,58,51,70,58,59,57,58
Use the above information to answer questions 109 to 111.

What is the range?

A.19
B.29
C.39
D.51
E.70