BECE Mathematics 2019 Paper 2 Past Questions

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

Question 1

Factorise xy + 4x + 2y + 8

A.(x + 2)(y + 4)
B.(x + 2)(y - 4)
C.(x-2)(y+4)
D.(2-x)(y+2)
E.(1-x)(y+2)

Objective

Question 2

Simplify 2½x - 5x/8

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

Objective

Question 3

Simplify ½(4x+2)-(-2x)

A.2x+1
B.2x-2
C.4x+1
D.8x+2
E.4x+4

Objective

Question 4

Simplify 6a + 3b - (3a-5b)

A.3a+8b
B.3a-2b
C.3a+2b
D.9a+8b
E.9a-8b

Objective

Question 5

Expand 2(4x+3)+(x+2)²

A.x²+12x+10
B.x²+12x-10
C.x²-12x+10
D.x²-12x-10
E.x²-16x-14

Objective

Question 6

Expand (-3a-5x)(-2b-4y)

A.12ab + 6ay + 10bx + 20xy
B.12ay + 6ab + 10bx - 20xy
C.6ab + 12ay + 10bx + 20xy
D.6ab - 12ay + 10bx - 20xy
E.3ab + 5ay + 2bx + 4xy

Objective

Question 7

Factorise 12x² + 15xy

A.3(4x²+5xy)
B.3x(4x+5y)
C.4x+5y
D.4x(3x+5y)
E.6x(2x+15y)

Objective

Question 8

Factorise 7a³b² - 14a²b³

A.a²-2b
B.a-2ab²
C.7a²b²(a-2b)
D.14a²b²
E.(a²-2b²)

Objective

Question 9

Simplify $$\frac{{x^2}-3x}{{x^2}-5x+6}$$

A.^x-3/_x-2
B.^x-2/_x-3
C.^x/_x-3
D.^x/_x-2
E.^x²/_(x-3)(x-2)

Objective

Question 10

What is the L.C.M of 12x² and 48xy?

A.94x²y
B.48x²y
C.48xy
D.24x²y
E.24xy

Objective

Question 11

Find the L.C.M of 10a²b,15ab²c and 20bc²

A.60a²b²c²
B.60a²b²c
C.60a²bc²
D.60ab²c²
E.60abc

Objective

Question 12

Find the value of x, if 5(x+1)=7(x-3)

A.-26
B.-13
C.3
D.13
E.26

Objective

Question 13

If 2x - 25 = 25, what is the positive value of x?

A.-10
B.-5
C.0
D.5
E.10

Objective

Question 14

Solve $$\frac x3 - \frac x4 = 1$$

A.24
B.15
C.12
D.6
E.2

Objective

Question 15

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

A.4
B.6
C.8
D.12
E.35

Objective

Question 16

Solve the equation $$\frac x3 - \frac13 = 0$$

A.1/2
B.4/5
C.1
D.3
E.9

Objective

Question 17

A particular network service provider charges 20k per second to make a call. for how many minutes will a customer call with N120:00 airtime?

A.3
B.5
C.6
D.10
E.12

Objective

Question 18

If half of the difference between a certain whole number and seven equals one third of the number which of the following is twice the number?

A.42
B.21
C.10½
D.4⅕
E.-14

Objective

Question 19

If y = 2x, in completing the table below find the values of a and b respectively

x	-2	-1	0	1	2	3
y	a	-2	0	2	4	b

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

Objective

Question 20

Solve ⅜(5x+1)=¾

A.0
B.1/5
C.1/3
D.1/2
E.3

Objective

Question 21

Given that y=3x + 13, find the value of x in 2x + 3y = 17

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

Objective

Question 22

Find the value of A, if A=⅓bh when b = 4.8 and h = 13

A.14.9
B.18.3
C.20.0
D.20.8
E.25.2

Objective

Question 23

Evaluate P = 9x - 5y when x = 7 and y = 3

A.63
B.48
C.21
D.16
E.10

Objective

Question 24

If 2r - 8 = 4, what is the value of r?

A.20
B.14
C.12
D.8
E.6

Objective

Question 25

Evaluate $$\frac{3a - b}{5c}$$ given that a = 2, b = 11

A.2½
B.2⅕
C.-2
D.-2⅕
E.-2½

Objective

Question 26

Express x in terms of a,b and c if a/x + b = c

A.x = ^a/_c+b
B.x = ^a/_c-b
C.x = ^a/_b-c
D.x = ^c-b/_a
E.^b+c/_a

Objective

Question 27

Solve the inequality 2x + 3 ≤ 4x - 1

A.x≤2
B.x≤3
C.x≥2
D.x≥3
E.x≥4

Objective

Question 28

Solve the inequality 2x + 6 < 5(x - 3)
Represent the solution on a number line

Objective

Question 29

Make r the subject of the formula in &piR² = vr²

A.r = ^πR²/_v
B.r = ^πR/_v
C.r = √^&pi/_V
D.r = √^&πR/_v
E.r = R√v

Objective

Question 30

Solve x + y = 2 and x - y = 1 simultaneously

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

Objective

Question 31

Find the coefficient of x in the expansion of (x - 2)(x + 1)

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

Objective

Question 32

Solve the simultaneous equations x + 2y = 4, x _ 3y = 5 Hence evaluate x - y

A.1
B.0
C.-1/2
D.-1
E.-2/3

Objective

Question 33

Solve 8x - 2 ≤ 15x - 16. Use the number line to show your result

A.B.C.D.E.Objective

Question 34

Thrice a certain number x is less equal to 42. Find the range of value number.

A.x≥2
B.x≥14
C.x≥7
D.x≤7
E.x ≤ 14

Objective

Question 35

Make x the subject of formula in equation 2a + 2x = b

A.x = 2a - b
B.x = a - 2b
C.x = a - b
D.x = (b - 2a)/2
E.x = (b + 2a)/2

Objective

Question 36

The sum of three consecutive numbers is 78. Find the largest number.

A.20
B.23
C.25
D.27
E.29

Objective

Question 37

A man is 8 times older than his daughter three years ago. The sum of their ages now is 42 years. Find his daughter's age

A.35 years
B.32 years
C.7 years
D.5 years
E.4 years

Objective

Question 38

The difference between a positive and a negative number is 14 and their sum is -8 find the numbers

A.(-11, 3)
B.(-3, 11)
C.(2, -12)
D.(-11, -2)
E.(13, -5)

Objective

Question 39

Solve for x in the given equations;
2x - y = 4, x = 5 + 2y

A.x = -2
B.x = -1
C.x = 1/2
D.x = 1
E.x = 2

Objective

Question 40

Simplify (7a - 3b)-(5a - 8b)

A.5(a+b)
B.5(a-b)
C.2a-5b
D.-2a-5b
E.2a+5b

Objective

Question 41

The figure below represents one of the following inequalities

A.x<2½
B.x≤2½
C.x≥2½
D.x>2½
E.-2

Objective

Question 42

Factorise 8y - 32y³ completely

A.8y(1-4y²)
B.8y(1-2y)²
C.8y(1+2y)²
D.8y(1-2y)(1+2y)
E.8y(4y²)

Objective

Question 43

The difference between the largest and smallest scores in a given set of scores is called ........

A.deviation
B.mean deviation
C.quartile range
D.range
E.variance

Objective

Question 44

Find the mean of the following set of numbers 2, 6, 4, 8, 3, 7

Objective

Question 45

Find the median of the following set of numbers 3,2,4,5,6,7,9,2,10,11

A.10.0
B.9.3
C.7.0
D.6.5
E.5.5

Objective

Question 46

The scores o nine students in an examination were recorded as follows 9, 14, 15, 14, 9 ,20, 16, 14, 18. What is the modal score?

A.9
B.14
C.15
D.20
E.30

Objective

Question 47

If a coin is thrown twice, which of the following will not be an outcome?

A.HH
B.HTH
C.TT
D.TH
E.HT

Objective

Question 48

If the mean of 2, x, 5 4, and 3 is 3, what is the value of x?

Objective

Question 49

A woman bought 7 items from a supermarket with the following prices:
N136.45, N189.63, N209,42, N210.45, N265.00, N360.45, N400.00. Calculate the range

A.N206.45
B.N200.35
C.N253.55
D.N263.55
E.N360.45

Objective

Question 50

Igho buys a dress each for his daughters at a total cost of N22,500.00. if the average cost of the dress is N2,500.00, how many daughters does he have

Objective