0570 GCE Mathematics Paper 1 2025

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0570 Mathematics Paper 1 June 2025 Questions and Answers

Mathematics 1

0570

GENERAL CERTIFICATE OF EDUCATION BOARD

General Certificate of Education Examination

JUNE  2025 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

About This Paper

This paper covers algebra, geometry, trigonometry, probability, and number systems. It is ideal for revision and exam preparation.

How to Use

Attempt all questions first, then check solutions to understand mistakes and improve speed. Get the Solution to this paper Solution

Question 1

The value of (7.1 × 10³)(6.0 × 10²) ÷ (4 × 10⁴) is

A. 1.05 × 10¹

B. 10.5 × 10¹

C. 10.5 × 10³

D. 1.05 × 10⁻²

Question 2

Given that 123n − 46n = 44n, the value of n is

A. 7

B. 9

C. 8

D. 10

Question 3

The number 0.0029087 correct to 3 significant figures is

A. 0.00209

B. 0.00290

C. 0.003

D. 0.00291

Question 4

Anita, Nina and Tina shared 30,000 FCFA in the ratio 2 : 3 : 5. Nina’s share was

A. 3,000 FCFA

B. 6,000 FCFA

C. 9,000 FCFA

D. 15,000 FCFA

Question 5

On a map of scale 1 : 20000, the distance (in cm) representing 5 km is

A. 25 cm

B. 4 cm

C. 2500 cm

D. 400 cm

Question 6

Diana bought a TV set and resold it for 150,000 FCFA, making a profit of 20%. The cost price was

A. 31,200 FCFA

B. 130,000 FCFA

C. 124,800 FCFA

D. 187,200 FCFA

Question 7

In the diagram, PQ = 7 cm, ∠PRN = 30° and N is the midpoint of PQ. The perimeter of ΔPQR is

A. 21 cm

B. 14 cm

C. 10.5 cm

D. 17.5 cm

Question 8

A cuboid has dimensions 8 cm, 5 cm and x cm. If its volume is 240 cm³, the value of x is

A. 15

B. 6

C. 2

D. 12

Question 9

In the figure, the area of the shaded sector in terms of π is

A. 3π

B. 2π

C. (9√3)/4

D. 9π

Question 10

In the Venn diagram, the shaded region is defined by

A. (P ∩ Q) ∪ R

B. (P ∪ Q) ∩ R

C. (P ∩ Q) ∩ R

D. (P ∪ Q) ∪ R

Question 11

The Venn diagram shows people at a party. E represents those who eat eba, J those who eat rice, and W those who drink wine. The number who ate eba and drank wine is

A. 41

B. 30

C. 12

D. 10

Question 12

Given ξ = {1, 2, 3, …, 30}, M = {multiples of 3} and N = {even numbers}, then n(M ∩ N) is

A. 5

B. 6

C. 10

D. 15

Question 13

The expression nx + 2n + 2x + 4 can be completely factorised as

A. 2(n + x)(nx + 4)

B. (x + 2)(n + 2)

C. 2(n + x + 2)

D. 2x(n + 4)

Question 14

Given the equation 8/(x − 5) = 4, the value of x is

A. 7

B. 13/4

C. 5

D. 9/4

Question 15

The expression x² − 4x + 3 can be factorised as

A. (x + 1)(x + 3)

B. (x − 1)(x − 3)

C. (x + 1)(x − 3)

D. (x + 3)(x − 1)

Question 16

The smallest whole number that satisfies the inequality 3x + 1 ≥ 7 is

A. 2

B. 1

C. 3

D. 4

Question 17

Which of the shaded regions satisfies the inequalities y ≥ 0, x ≥ 4 and 2x + y ≥ 23?

A. A

B. B

C. C

D. D

Question 18

The sum of the first n terms of a sequence is Sₙ = 17n − 3n². The fourth term is

A. 6

B. −10

C. −4

D. 10

Question 19

Given that 3^(x+1) = 81, then x² is

A. 9

B. 27

C. 16

D. 64

Question 20

The sets X and Y and the relation R between them are shown in the mapping diagram. The range of R is

A. X

B. Y

C. 4

D. {2, −1, 0}

Question 21

The function f is defined on ℝ by f(x) = 1 − x². Then f(−2) is

A. −18

B. 18

C. 22

D. −22

Question 22

The functions f and g are defined on ℝ by f(x) = 2x − 1 and g(x) = x² + 1. The composite function f(g(x)) is

A. x² + 2x

B. 4x² − 4x

C. x²

D. 2x² − 2x + 1

Question 23

Given that f(x) = (3x − 2)/4, then f⁻¹(x) is

A. (x + 2)/4

B. (4x + 2)/3

C. (4x − 2)/3

D. (4x − 2)

Question 24

P is the point (1, 6) and Q is the point (5, 3). The length of PQ is

A. √7

B. √25

C. 25

D. 5

Question 25

The equations of four lines are L₁: y + x − 6 = 0, L₂: x − 2y = 0, L₃: 3y − 2x = 7, L₄: 3x − 2y = 5. Which pair of lines is parallel?

A. L₂ and L₃

B. L₂ and L₁

C. L₁ and L₄

D. L₂ and L₄

Question 26

The y-intercept of the line 3y + 4x = 12 is

A. 4

B. 3

C. 7

D. -4

Question 27

The lines with equations y = m₁x + c and y = m₂x + k are perpendicular if

A. m₁m₂ = 1

B. m₁m₂ = -1

C. m₁ = m₂

D. 2m₁ = m₂

Question 28

The graph of the function f(x) = 2x² − 3x − 2 has

A. a maximum turning point

B. no turning point

C. both maximum and minimum turning points

D. a minimum turning point

Question 29

The number of factors in the expression (x + 1)(x + 2) is

A. 1

B. 4

C. 3

D. 2

Question 30

Simplifying 8a + 3 + 5 − 3a gives

A. 5a + 8

B. 11a + 8

C. 5a + 5

D. 8a + 5

Question 31

Simplifying 2² × 2 × 2⁻³ gives

A. 2⁻¹

B. 2⁵

C. 2¹

D. 2⁻⁶

Question 32

Given the formula A = πr², expressing r in terms of A and π gives

A. A/π

B. √(A/π)

C. √A/π

D. A/√π²

Question 33

The next term in the sequence 1, 1, 2, 3, 5, ... is

A. 7

B. 9

C. 10

D. 8

Question 34

Given that y varies directly as x, the equation connecting y and x is

A. y ∝ 1/x

B. y ∝ x

C. y = kx

D. xy = k

Question 35

The solution set of the set 3x − 4 ≤ 8 is

A. {x : x ≥ 4}

B. {x : x ≤ 4}

C. {x : x ≤ 4/3}

D. {x : x ≥ 4/3}

Question 36

In a network with 4 vertices and 5 edges. The number of regions is

A. 6

B. 2

C. 5

D. 3

Question 37

Given the right-angled triangle PQR in figure 2, the adjacent side to the angle θ is

A. PR

B. PQ

C. QR

D. PQR

Question 38

The value of sin 30° / cos 30° is

A. √3

B. √3/2

C. 1/√3

D. 2/√3

Question 39

Given that the angle of elevation of a man lying on the ground and sees a bird on top of a tree at P is 40°, the angle of depression of the bird is

A. 40°

B. 50°

C. 90°

D. 10°

Question 40

Given the vectors a = (7, 3) and b = (2, −9), then a + b is

A. (-5, -12)

B. (-12, -5)

C. (6, -9)

D. (9, -6)

Question 41

The vector OP = i − j lies in the

A. 1st quadrant

B. 2nd quadrant

C. 4th quadrant

D. 3rd quadrant

Question 42

The magnitude of the vector -5i + 12j is

A. √119

B. 13

C. 7

D. 17

Question 43

Given the matrix A = (3, 4, 2), Aᵀ =

A. (3 4 2)

B. (3, 4, 2)ᵀ

C. (3, 2, 4)ᵀ

D. (3 2 4)

Question 44

The value of m for which the matrix (m+2 3; 4 -3) is a singular matrix is

A. 6

B. 2

C. -6

D. -2

Question 45

The coordinates of the point A(1, 3) reflected on the x-axis are

A. (1, -3)

B. (-1, 3)

C. (-1, -3)

D. (-3, -1)

Question 46

Given the matrices P = (2 3; 4 5) and Q = (1 2; 3 -7), P + Q is

A. (1 1; 1 -12)

B. (3 5; 7 -2)

C. (-1 -1; -1 -12)

D. (3 5; 7 2)

Question 47

The mode, median and mean are collectively called the measures of

A. deviation

B. frequency

C. central tendency

D. dispersion

Question 48

The median of the marks 3, 7, 9, 11 and 13 is

A. 11

B. 13

C. 8.6

D. 9

Question 49

The range of the scores 3, 2, 0, 5, 6, 4 is

A. 4

B. 3.5

C. 2

D. 6

Question 50

The probability that John does his Mathematics assignment is 0.6. Then the probability that he does not do it is

A. 0.6

B. 0.5

C. 0.4

D. 0.2

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What is GCE O Level Mathematics Paper 1 2025?

GCE O Level Mathematics Paper 1 (0570) 2025 is a multiple-choice exam testing algebra, geometry, trigonometry, and statistics without a calculator.

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