0570 Mathematics Paper 1 June 2024 Questions & Answers + Solutions (GCE O Level)

0570 Mathematics Paper 1 June 2024 Questions and Answers

Mathematics 1

0570

GENERAL CERTIFICATE OF EDUCATION BOARD

General Certificate of Education Examination

JUNE  2024 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

Popular (Other Years): 2025,   2024,   2023,   2022,   2021,   2020,   2019,   2018

Practice Cameroon GCE O Level Mathematics (0570) Paper 1 June 2024 with complete answers and detailed step-by-step explanations. This page helps students prepare effectively for the GCE examination.

Topics Covered

• Number and Standard Form
• Algebra and Functions
• Geometry and Trigonometry
• Statistics and Probability

Question 1

Given that 36 ÷ 9 = 4, 4 is known as the

A. Remainder

B. Divisor

C. Quotient

D. Dividend

Show Answer

Answer: Quotient

Explanation: Dividend ÷ Divisor = Quotient.

Question 2

The next prime number greater than 23 is

A. 31

B. 25

C. 27

D. 29

Show Answer

Answer: 29

Explanation: 29 has only two factors.

Question 3

The absolute value of -1 - 9 is

A. -10

B. 10

C. -8

D. 8

Show Answer

Answer: 10

Explanation: -1 - 9 = -10, absolute value is 10.

Question 4

Converting 0.15 to a fraction gives

A. 3/20

B. 15/100

C. 3/100

D. 15/20

Show Answer

Answer: 3/20

Explanation: 15/100 simplifies to 3/20.

Question 5

Expressing 0.0597 in standard form gives

A. 5.97 × 10²

B. 5.97 × 10⁻²

C. 6.0 × 10⁻²

D. 6.0 × 10²

Show Answer

Answer: 5.97 × 10⁻²

Explanation: Move decimal two places left.

Question 6

The number of significant figures in 14.501 is

A. 5

B. 2

C. 4

D. 3

Show Answer

Answer: 5

Explanation: All digits are significant.

Question 7

Mary went to bed at 11:20 pm and woke after 2 hours. What time?

A. 13:20 pm

B. 1:20 pm

C. 1:20

D. 13:20

Show Answer

Answer: 1:20

Explanation: 11:20 pm + 2 hours = 1:20 am.

Question 8

An article sold at 10% loss for 7200 FCFA. Find cost price.

A. 7,920

B. 6,480

C. 8,800

D. 8,000

Show Answer

Answer: 8,000

Explanation: CP = 7200 ÷ 0.9.

Question 9

Six textbooks cost 30,000 FCFA. Cost of three?

A. 5,000

B. 15,000

C. 90,000

D. 25,000

Show Answer

Answer: 15,000

Explanation: Half of total cost.

Question 10

Map scale 1:50,000. 4 cm represents

A. 2 km

B. 20 km

C. 2.5 km

D. 25 km

Show Answer

Answer: 2 km

Explanation: 200,000 cm = 2 km.

Question 11

Given A = {1,2,3,4} and B = {2,4,6,8}. The sets A and B are

A. Equal

B. Power sets

C. Equivalent

D. Subsets

Show Answer

Answer: Equivalent

Explanation: Same number of elements.

Question 12

If P and Q are disjoint sets then

A. P ∪ Q = Ø

B. n(P ∩ Q) = 0

C. P ∩ Q = Ø

D. P = Q

Show Answer

Answer: n(P ∩ Q) = 0

Question 13

The shaded region represents

A. A ∪ B

B. (A ∩ B)'

C. (A ∪ B)'

D. A' ∪ B'

Show Answer

Answer: (A ∪ B)'

Question 14

The negation of “Some students will pass the examination” is

A. No student will pass

B. No student will not pass

C. All will not pass

D. All will pass

Show Answer

Answer: No student will pass

Question 15

The range of the relation is

A. {2,5}

B. {1,2,3,4,5}

C. {a,b,c}

D. {1,3,4}

Show Answer

Answer: {1,3,4}

Question 16

If f(x) = 1 − x, find f(-3)

A. -7

B. 7

C. -5

D. 4

Show Answer

Answer: 4

Explanation: f(-3) = 1 - (-3) = 4.

Question 17

If A = {3,4} and B = {x,y}, then A × B is

A. {(3,x),(4,y)}

B. (3x,4y)

C. {(3,x),(3,y),(4,x),(4,y)}

D. (3,x),(3,y),(4,x),(4,y)

Show Answer

Answer: {(3,x),(3,y),(4,x),(4,y)}

Explanation: Cartesian product lists all ordered pairs.

Question 18

If f(x) = 3x − 2 then f⁻¹(x) is

A. (x+2)/3

B. (x-2)/3

C. (x+3)/2

D. (x-3)/2

Show Answer

Answer: (x+2)/3

Explanation: Swap x and y and solve.

Question 19

A polygon with nine sides is called

A. Octagon

B. Decagon

C. Nonagon

D. Heptagon

Show Answer

Answer: Nonagon

Question 20

The sum of the interior angles of a triangle is

A. 90°

B. 270°

C. 360°

D. 180°

Show Answer

Answer: 180°

Question 21

The number of lines of symmetry in a rhombus is

A. 8

B. 4

C. 1

D. 2

Show Answer

Answer: 2

Question 22

In the circle shown, find θ

A. 35°

B. 70°

C. 55°

D. 20°

Show Answer

Answer: 70°

Explanation: Angle at center = 2 × angle at circumference.

Question 23

The net shown represents

A. Rectangle

B. Cylinder

C. Square

D. Open cylinder

Show Answer

Answer: Cylinder

Question 24

The number of edges in the rectangular pyramid is

A. 5

B. 4

C. 8

D. 9

Show Answer

Answer: 8

Question 25

The shaded region in the circle is called a

A. Segment

B. Sector

C. Chord

D. Secant

Show Answer

Answer: Sector

Question 26

The perimeter of a rectangle of length x and width y is

A. 2xy

B. x+y

C. xy

D. 2(x+y)

Show Answer

Answer: 2(x+y)

Question 27

In the triangle shown find x

A. 8

B. 4

C. 2

D. 18

Show Answer

Answer: 8

Explanation: x² = 100 − 36 = 64.

Question 28

The volume of a cone with radius 6 cm and height 10 cm is

A. 60π

B. 360π

C. 120π

D. 180π

Show Answer

Answer: 120π

Question 29

The y-intercept of y = 2x + 4 is

A. -4

B. 2

C. -2

D. 4

Show Answer

Answer: 4

Question 30

The gradient of 3y = 6x − 3 is

A. -1

B. 6

C. -2

D. 2

Show Answer

Answer: 2

Question 31

The equation of the line shown is

A. y = 4

B. x = 4

C. y = 4x

D. 4y = x

Show Answer

Answer: y = 4

Question 32

Subtracting (2 + b) from (2a + b) gives

A. 2 − 2a

B. 2a + 2

C. 2a − 2

D. 2a + 2b − 2

Show Answer

Answer: 2a − 2

Question 33

Find x² − y when x = 3 and y = 2

A. 1

B. 7

C. 11

D. 4

Show Answer

Answer: 7

Question 34

Solve 7 − 2x ≤ 19

A. x ≥ -6

B. x ≤ -6

C. x ≤ 6

D. x ≥ 6

Show Answer

Answer: x ≥ -6

Question 35

Factorize x² + 4x + 3

A. (x + 4)(x + 3)

B. (x + 1)(x − 3)

C. (x − 1)(x + 4)

D. (x + 1)(x + 3)

Show Answer

Answer: (x + 1)(x + 3)

Question 36

Simplify 2⁻³

A. -1/8

B. 1/8

C. 1/6

D. -1/6

Show Answer

Answer: 1/8

Explanation: 2⁻³ = 1 / 2³ = 1/8.

Question 37

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

A. 11

B. 14

C. 9

D. 10

Show Answer

Answer: 9

Explanation: Common difference = +4.

Question 38

The number of even nodes in the network is

A. 3

B. 2

C. 5

D. 7

Show Answer

Answer: 5

Explanation: Even nodes have an even number of edges.

Question 39

The relationship between sinθ, cosθ and tanθ is

A. tanθ = cosθ / sinθ

B. tanθ = sinθ / cosθ

C. tanθ = sinθ + cosθ

D. tanθ = sinθ − cosθ

Show Answer

Answer: tanθ = sinθ / cosθ

Question 40

In the right-angled triangle shown find n

A. 14

B. 6

C. 8

D. 10

Show Answer

Answer: 10

Explanation: Using Pythagoras or trigonometry.

Question 41

The bearing of R from S is

A. 026°

B. 154°

C. 206°

D. 116°

Show Answer

Answer: 206°

Explanation: Bearings measured clockwise from North.

Question 42

Given vectors r = [-3,6] and p = [1,-1], find r + p

A. [2,5]

B. [4,5]

C. [-2,5]

D. [-4,5]

Show Answer

Answer: [-2,5]

Explanation: Add components: (-3+1, 6-1).

Question 43

If OP = −4i + 3j then |OP| is

A. 5

B. 7

C. 1

D. 25

Show Answer

Answer: 5

Explanation: √(16 + 9) = 5.

Question 44

The direction of the vector −3i − 3j is

A. 315°

B. 135°

C. 45°

D. 225°

Show Answer

Answer: 225°

Explanation: Third quadrant direction.

Question 45

The order of the matrix (-1 0 3) is

A. 3 × 1

B. 1 × 3

C. 2 × 1

D. 2 × 3

Show Answer

Answer: 1 × 3

Explanation: 1 row, 3 columns.

Question 46

Find the transpose of the matrix shown

A. A

B. B

C. C

D. D

Show Answer

Answer: A

Explanation: Rows become columns.

Question 47

Find the range of the distribution 2,4,2,6,3,7,-1

A. 2

B. 7

C. 8

D. 23

Show Answer

Answer: 8

Explanation: 7 − (-1) = 8.

Question 48

The median of 7,3,1,1,4,7,0 is

A. 7

B. 1

C. 0

D. 3

Show Answer

Answer: 3

Explanation: Middle value after sorting.

Question 49

The mode of 8,9,6,8,15,8,11,7 is

A. 8

B. 9

C. 6

D. 15

Show Answer

Answer: 8

Explanation: Most frequent value.

Question 50

If the probability that Susan goes to the farm is 2/5, the probability that she does NOT go is

A. 3/5

B. 6/25

C. 2/5

D. 1/5

Show Answer

Answer: 3/5

Explanation: Complement rule.