BECE Mathematics 2021 Past Questions

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

What is the place value of 7 in the number 2376400?

A.70
B.700
C.7000
D.70000
E.700000

Simplify 8a +4b (4a + 3b).

A.a+b
B.2a+b
C.3a+2b
D.4a+b
E.4b-3a

Round off 0.004365 correct to 2 significant figures.

A.0.004
B.0.0043
C.0.00437
D.0.0044
E.0.44

Simplify 1/3 (18y + 9) (6 - 2y).

A.14y+2
B.14y
C.14y-12
D.10y
E.10y-12

Find the square root of $$\frac{144}{256}$$.

A.¹/₂
B.²/₃
C.³/₄
D.1¹/₃
E.1¹/₂

Simplify 3x + $$\frac34-5x-\frac14+x$$.

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

Express 2,734,000 in standard form.

A.2.734 × 10³
B.2.734 × 10⁴
C.2.734 × 10⁵
D.2.734 × 10⁶
E.2.734 × 10⁷

Simplify 2(3x-5)-(2x-7).

A.4x-17
B.4x-3
C.8x-3
D.4x+17
E.8x+17

Simplify $$4\frac16 - 2\frac58$$.

A.2¹⁹/₂₄
B.2¹¹/₂₄
C.1¹³/₂₄
D.¹³/₂₄
E.¹¹/₂₄

Express $$\frac3p + \frac3q$$ as a single fraction.

A.(3p+5q)/pq
B.(3q+5p)/pq
C.(3p-5q)/pq
D.8/pq
E.15/pq

Express 112 as a product of its prime factors.

A.2² × 3 × 7
B.2² × 3² × 7
C.2³ × 3 × 7
D.2⁴ × 3² × 7
E.2⁴ × 7

Expand $$\frac13(15x-27y)$$.

A.x-y
B.3x-7y
C.5x-9y
D.9x-5y
E.3x+7y

Find the sum of 3.13, 4.171, 1.12, 2.02 and 6.069

A.16.01
B.16.10
C.16.15
D.16.50
E.16.51

Simplify 12-(7-2f)-(3-f).

A.2-f
B.2+f
C.2-3f
D.2+3f
E.2+5f

Express 0.3125 as a percentage.

A.0.3125%
B.3.125%
C.312.5%
D.3125%
E.16.51

What is the expansion of (m-5)(n+3)?

A.mn+3m+5n+15
B.mn+3m-5n-15
C.mn-3m+5n+15
D.mn-3m-5n+15
E.mn-3m-5n-15

Find the value of 2² × 5 - √16 + 8 ÷ 4.

A.14
B.16
C.18
D.24
E.26

Factorize: x² - x - 12.

A.(x-1)(x+1)
B.(x-2)(x+3)
C.(x-4)(x+3)
D.(x-4)(x+4)
E.(x-5)(x+4)

A man spends ²/₇ of his monthly income on clothes and ^1>/₂ of the remainder on food. What fraction of his income is left?

A.⁵/₇
B.³/₇
C.⁵/₁₄
D.³/₁₄
E.¹/₇

Factorize: xm - 2pq + xq - 2pm.

A.(m+q)(x+2p)
B.(m-q)(x-2p)
C.(m+q)(x+2q)
D.(m-p)(x+2q)
E.(m+p)(x-2q)

Increase 5400m by 12%.

A.540m
B.648m
C.4752m
D.5940m
E.6048m

Solve for x in the equation $$\frac34(x + 2) = x - 2.$$

A.8
B.10
C.12
D.14
E.16

Convert 1011011_two to denary.

A.31
B.51
C.71
D.81
E.91

Mahe h the subject of the formula A = 2πr (h+r)

A.h = A/2π - r
B.h = A/(2πr) - r
C.h = A/(2πr) + r
D.h = (A+r)/(2πr)
E.h = r - A/(2πr)

Express 0.000743 × 10² in standard form.

A.7.43 × 10
B.7.43 × 10^-1
C.7.43 × 10^-2
D.7.43 × 10^-3
E.7.43 × 10^-4

Find the value of x, if 4(x+1) = 6(x-3)

A.2
B.3
C.5
D.7
E.11

Which of the following numbers is the greatest?

A.1.4 × 10⁵
B.3.0 × 10⁴
C.2.3 × 10³
D.4.3 × 10²
E.9.7 × 10¹

Find the H.C.F of 3xyz², 15xy and 6x²y.

A.3xy
B.6xy
C.15xy
D.18xy
E.30x²y

Simplify $$\frac{\sqrt{144x^2}}4$$

A.2x
B.3x
C.6x
D.9x
E.18x

Solve for y if $$\frac{2y}7 + 5 = 9.$$

A.1
B.6
C.10
D.14
E.18

If 2 crates of coca-cola cost N4,400.00, how many crates will N19,800.00 buy?

A.7
B.9
C.11
D.14
E.16

If $$p = \frac{2}{3t-1} + \frac1{3t-2}$$, find p when x = 1.

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

If 25 bags of cement cost N65,000.00, find the cost of 18 bags.

A.N2,600.00
B.N31,500.00
C.N46,800.00
D.N53,700.00
E.N56,900.00

Find the value of x, if 2(x-2) = 12.

A.2
B.4
C.5
D.6
E.8

Find the simple interest on N70,000.00 for 7¹/₂ years at 3% per annum.

A.N20,500.00
B.N15,750.00
C.M15,916.00
D.N45,000.00
E.N99,840.00

Solve the equation: 3 - (3x-2) - (x-3) = 0.

A.-4
B.-2
C.2
D.4
E.5

Find the principal which earns N3,300.00 simple interest in 3 years at 2% per annum.

A.N1,100.00
B.N7,600.00
C.N11,000.00
D.N55,000.00
E.N62,000.00

Olu has 2x oranges and Umar has 4 oranges less than Olu. How many oranges do they have altogether?

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

Find the smallest number by which 112 must be multiplied to make a perfect square.

A.2
B.3
C.5
D.6
E.7

Given that (x-y) - (x+y) = 4. Find the value of y.

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

Evaluate 111011_two × 11_two

A.1110010_two
B.1101010_two
C.10110001_two
D.11110011_two
E.11110111_two

Find the value of x in the equation $$\frac{4x}5 - \frac15 = \frac{5x}7$$

A.-2¹/₃
B.-1¹/₃
C.1²/₃
D.2¹/₃
E.3²/₃

The selling price of an article is N24,500.00. If a discount of 5% is given, how much does a customer pay?

A.N1,225.00
B.N2,450.00
C.N23,275.00
D.N24,500.00
E.N25,725.00

Find the sum of the coefficients of x in 4x+3-5x+8.

A.9
B.5
C.-1
D.-4
E.-9

Divide the L.C.M of 9,12 and 18 by their H.C.F

A.6
B.8
C.9
D.10
E.12

A car travels x km in 3 hours. How far will it travel in 9 hours?

A.3x km
B.9x kmk
C.27 x km
D.x/3 km
E.x/9 km

A car covers a distance of 258km in 3 hours. If its moving at the same rate, how long will it take to cover 516km journey?

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

Expand (2x+1)(x-2).

A.2x² - 3x - 2
B.2x² - 3x + 2
C.2x² + 3x - 2
D.2x² + 3x + 2
E.2x² - 5x - 2

Calculate the area of a parallelogram whose base is 12cm and height 2cm.

A.44cm²
B.34cm²
C.24cm²
D.14cm²
E.8cm²

Solve the equation: $$\frac{12}{x-2} = 3$$.

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