What is the value of the digit 7 in 64.176?

The digit 7 is in the hundredths place, so its value is 7/100 or 0.07.

What is the HCF of 2² × 3 and 2 × 3² × 5?

The HCF is 2 × 3 because these are the common factors with the smallest powers.

How do you arrange decimals in ascending order?

Arrange numbers from smallest to largest. For example: 0, 0.25, 0.4, 0.5.

What does -1 ≤ x ≤ 3 mean on a number line?

It means x includes both -1 and 3, so both endpoints are closed (included).

Is √7 rational or irrational?

√7 is irrational because it cannot be expressed as a fraction and has a non-repeating decimal.

How do you round 1949.46 to the nearest whole number?

Since 0.46 is less than 0.5, round down to 1949.

How do you find ratio of girls to boys?

Find number of girls and boys, then simplify the ratio. Example: 65:25 = 13:5.

What is the formula for simple interest?

Simple Interest = Principal × Rate × Time.

What is n(P ∩ Q) if sets have no common elements?

It is 0 because there are no elements in common.

What does G ⊂ F mean in sets?

It means G is a subset of F; all elements of G are in F.

What does P ∩ Q′ represent?

It represents elements in P but not in Q.

What is a conjunction in logic?

A conjunction joins two statements using 'and'.

What does an inverse function do?

It maps outputs (range) back to inputs (domain).

How do you evaluate f(-3) for f(x)=2x+5?

Substitute -3: 2(-3)+5 = -6+5 = -1.

What is g(f(x)) when f(x)=x?

It equals g(x), so result is 3x−2.

What is the radius of a circle?

Distance from center to circumference.

How do parallel line angles sum?

Co-interior angles sum to 180°.

How do you find rectangle length from perimeter?

Use P = 2(L+W), then solve for L.

How do you find midpoint?

Midpoint = ((x1+x2)/2, (y1+y2)/2).

How do you simplify powers?

Add exponents when multiplying same base.

How do you expand (x+2)(x+3)?

Multiply each term → x²+5x+6.

How do you solve 2x+5=13?

Subtract 5 then divide by 2 → x=4.

0570 Mathematics Paper 1 June 2023 Questions & Answers

GCE O Level Mathematics P1 Solution June 2023

Complete Questions, Answers and Explanations

Practice all 50 questions with answers and explanations.

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Mathematics 1

0570

GENERAL CERTIFICATE OF EDUCATION BOARD

General Certificate of Education Examination

JUNE 2023 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

0570 Mathematics Paper 1 June 2023 Questions and Answers

Mathematics 1

0570

GENERAL CERTIFICATE OF EDUCATION BOARD

General Certificate of Education Examination

JUNE 2023 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 2023 with complete answers and detailed step-by-step explanations. This page helps students prepare effectively for the GCE examination.

Topics Covered

June 2023 Math 0570 Questions Paper 1
Paper 1 Solutions to GCE O Level Maths
All solutions to Cameroon GCE O Level mathematics, Free
E Panel Online GCE Practice

Question 1

The value of the digit 7 in 64.176 is

A. 7/10

B. 7/100

C. 7

D. 70

Show Answer

Answer: 7/100

Explanation: The digit 7 is in the hundredths place (second decimal place). Therefore, its value is 7 ÷ 100 = 7/100 = 0.07.

Question 2

The H.C.F of 2² × 3 and 2 × 3² × 5 is

A. 2 × 3 × 5

B. 2² × 3²

C. 2 × 3

D. 2² × 3² × 5

Show Answer

Answer: 2 × 3

Explanation: HCF takes the common factors with the smallest powers. Common factors: 2¹ and 3¹. So HCF = 2 × 3.

Question 3

The numbers 0.5, 0.4, 0, 0.25 arranged in ascending order gives

A. 0, 0.25, 0.4, 0.5

B. 0.25, 0.5, 0.4, 0

C. 0.5, 0.4, 0.25, 0

D. 0.25, 0.4, 0, 0.5

Show Answer

Answer: 0, 0.25, 0.4, 0.5

Explanation: Arrange from smallest to largest: 0 < 0.25 < 0.4 < 0.5.

Question 4

The number line that represents the set Q = {x : -1 ≤ x ≤ 3} is

A. Open circles at -1 and 3

B. Closed circles at both -1 and 3

C. Open at -1 and closed at 3

D. Closed at -1 and open at 3

Show Answer

Answer: Closed circles at both -1 and 3

Explanation: The symbol ≤ includes endpoints, so both -1 and 3 are included. Therefore, both ends are closed (solid points).

Question 5

The number √7 belongs to the set of

A. Integers

B. Natural Numbers

C. Rational Numbers

D. Irrational Numbers

Show Answer

Answer: Irrational Numbers

Explanation: √7 cannot be expressed as a fraction and has a non-terminating, non-repeating decimal, so it is irrational.

Question 6

The fraction “four-thirds” in figures is

A. 4/3

B. 4 1/3

C. 4³

D. 4 ÷ 1/3

Show Answer

Answer: 4/3

Explanation: “Four-thirds” means numerator = 4 and denominator = 3 → 4/3.

Question 7

Given that 0.00078 can be written as a × 10ⁿ, 1 ≤ a < 10, then n is

A. -3

B. 3

C. -4

D. 4

Show Answer

Answer: -4

Explanation: 0.00078 = 7.8 × 10⁻⁴. Decimal moved 4 places → exponent = -4.

Question 8

The number 1949.46 to the nearest whole number is

A. 1949

B. 1950

C. 1940

D. 1900

Show Answer

Answer: 1949

Explanation: Decimal part = 0.46 < 0.5, so round down → 1949.

Question 9

In a class of 90 students, 25 are boys. The ratio of girls to boys is

A. 5 : 18

B. 18 : 5

C. 13 : 5

D. 5 : 13

Show Answer

Answer: 13 : 5

Explanation: Girls = 90 − 25 = 65. Ratio = 65 : 25 = 13 : 5.

Question 10

The simple interest on 200,000 FCFA at a rate of 3% after 5 years is

A. 30,000 FCFA

B. 10,000 FCFA

C. 15,000 FCFA

D. 20,000 FCFA

Show Answer

Answer: 30,000 FCFA

Explanation: Simple Interest = P × R × T = 200,000 × 0.03 × 5 = 30,000 FCFA.

Question 11

Given the sets P = {1, 3, 5, 6} and Q = {2, 4, 7, 8}, then n(P ∩ Q) is

A. {0}

B. 0

C. ∅

D. { }

Show Answer

Answer: 0

Explanation: There are no common elements between P and Q, so P ∩ Q = ∅. The number of elements (cardinality) is therefore 0.

Question 12

Given the sets F = {football players} and G = {girls}, the set notation for “All girls play football” is

A. G ∩ F

B. G ∪ F

C. G ⊂ F

D. F ⊂ G

Show Answer

Answer: G ⊂ F

Explanation: “All girls play football” means every element of G is in F. Therefore, G is a subset of F.

Question 13

In set notation, the shaded region in figure 1 is

A. P ∩ Q′

B. P′ ∩ Q

C. Q′ ∪ P

D. P ∩ Q

Show Answer

Answer: P ∩ Q′

Explanation: The shaded region is the part of P that is not in Q, which is P ∩ Q′.

Question 14

Given that p: Adamu is hard working, q: Adamu is brilliant. The compound statement “Adamu is hard working and brilliant” is

A. an implication

B. a conjunction

C. a disjunction

D. a proposition

Show Answer

Answer: a conjunction

Explanation: The word “and” connects two statements, forming a conjunction.

Question 15

For any function f, f⁻¹ always maps its

A. image to its range

B. range to its domain

C. domain to its range

D. domain to its codomain

Show Answer

Answer: range to its domain

Explanation: The inverse function reverses the mapping, so outputs (range) become inputs (domain).

Question 16

Given that f : x → 2x + 5, then f(-3) gives

A. -3

B. 1

C. -1

D. 3

Show Answer

Answer: -1

Explanation: Substitute x = -3: f(-3) = 2(-3) + 5 = -6 + 5 = -1.

Question 17

Given that f(x) = x and g(x) = 3x − 2, then the composite function g(f(x)) is

A. 3x² − 2x

B. (x − 2)/3

C. 3x − 2

D. (x + 2)/3

Show Answer

Answer: 3x − 2

Explanation: g(f(x)) = g(x) since f(x)=x. So result = 3x − 2.

Question 18

The distance from the centre of a circle to any point on the circumference is called

A. radius

B. arc

C. chord

D. diameter

Show Answer

Answer: radius

Explanation: The radius is defined as the distance from the centre to the circumference.

Question 19

Given that the exterior angle of a regular polygon is 30°, its interior angle is

A. 30°

B. 60°

C. 12°

D. 150°

Show Answer

Answer: 150°

Explanation: Interior + exterior = 180°. So 180 − 30 = 150°.

Question 20

The regular solid figure represented by the net in figure 2 is called

A. cube

B. cuboid

C. cylinder

D. square

Show Answer

Answer: cube

Explanation: The net consists of 6 equal squares forming a cube.

Question 21

The constructions shown in figure 3 is such that PQ is the perpendicular bisector of RS. The value of angle PTS is

A. 180°

B. 60°

C. 45°

D. 90°

Show Answer

Answer: 90°

Explanation: A perpendicular bisector forms a right angle (90°) at the point of intersection.

Question 22

In figure 4, the value of angle p is

A. 160°

B. 50°

C. 130°

D. 40°

Show Answer

Answer: 130°

Explanation: The angle given is 50°. Co-interior angles on parallel lines sum to 180°, so p = 180 − 50 = 130°.

Question 23

The perimeter of a rectangle is 24 cm. Given that its width is 5 cm, then its length is

A. 8 cm

B. 7 cm

C. 5 cm

D. 4 cm

Show Answer

Answer: 7 cm

Explanation: Perimeter = 2(L + W). So 24 = 2(L + 5) → L + 5 = 12 → L = 7 cm.

Question 24

Given that π = 22/7 and the radius is 7 cm, the area of the circle is

A. 44 cm²

B. 154 cm²

C. 308 cm²

D. 22 cm²

Show Answer

Answer: 154 cm²

Explanation: Area = πr² = (22/7) × 7² = (22/7) × 49 = 154 cm².

Question 25

Given that the volume of a cube is 64 cm³, then each side has length

A. 4 cm

B. 3 cm

C. 8 cm

D. 5 cm

Show Answer

Answer: 4 cm

Explanation: Volume = side³. So side³ = 64 → side = 4 cm.

Question 26

On the Cartesian plane, the line y = 0 is called the

A. origin

B. x-axis

C. ordinate

D. y-axis

Show Answer

Answer: x-axis

Explanation: The equation y = 0 represents all points where y-coordinate is zero → x-axis.

Question 27

Given the lines L₁: y = -3x + 3 and L₂: y = mx − 2 such that L₁ is parallel to L₂, the value of m is

A. 3

B. 3/2

C. -3

D. 1/3

Show Answer

Answer: -3

Explanation: Parallel lines have equal gradients. Gradient of L₁ = -3, so m = -3.

Question 28

The x-coordinate of the midpoint of P(0,3) and Q(4,-3) is

A. 2

B. -6

C. 4

D. -3

Show Answer

Answer: 2

Explanation: Midpoint x = (0 + 4)/2 = 2.

Question 29

The number of terms in the expression 2ax + 3by − 1 is

A. 7

B. 4

C. 2

D. 3

Show Answer

Answer: 3

Explanation: Terms are separated by + or − → 2ax, 3by, and −1 → total 3 terms.

Question 30

Simplifying 2⁵ × 2⁻³ gives

A. 2¹⁵

B. 2²

C. 2⁻²

D. 2⁸

Show Answer

Answer: 2²

Explanation: Add exponents: 5 + (−3) = 2 → 2².

Question 31

Expand and simplify: (x + 2)(x + 3)

A. x² + 5x + 6

B. x² + 6x + 5

C. x² + x + 6

D. x² + 2x + 3

Show Answer

Answer: x² + 5x + 6

Explanation: Expand: x·x + x·3 + 2·x + 2·3 = x² + 3x + 2x + 6 = x² + 5x + 6.

Question 32

Solve: 2x + 5 = 13

A. 4

B. 3

C. 5

D. 6

Show Answer

Answer: 4

Explanation: 2x = 13 − 5 = 8 → x = 4.

Question 33

Solve: x² − 9 = 0

A. x = 3

B. x = -3

C. x = ±3

D. x = 9

Show Answer

Answer: x = ±3

Explanation: x² = 9 → x = ±√9 = ±3.

Question 34

Factorize: x² − 5x + 6

A. (x − 2)(x − 3)

B. (x + 2)(x + 3)

C. (x − 1)(x − 6)

D. (x − 6)(x + 1)

Show Answer

Answer: (x − 2)(x − 3)

Explanation: Find two numbers whose product is 6 and sum is −5 → −2 and −3.

Question 35

If 3x = 12, then x =

A. 2

B. 4

C. 3

D. 6

Show Answer

Answer: 4

Explanation: Divide both sides by 3 → x = 12 ÷ 3 = 4.

Question 36

Simplify: √49

A. 7

B. -7

C. ±7

D. 49

Show Answer

Answer: 7

Explanation: √49 is the principal (positive) square root → 7.

Question 37

The next term in the sequence 2, 4, 8, 16, ... is

A. 18

B. 20

C. 32

D. 24

Show Answer

Answer: 32

Explanation: Each term is multiplied by 2 → 16 × 2 = 32.

Question 38

If log₁₀ 100 = x, then x =

A. 1

B. 2

C. 10

D. 100

Show Answer

Answer: 2

Explanation: 10² = 100 → log₁₀(100) = 2.

Question 39

In a right-angled triangle, if opposite = 3 and hypotenuse = 5, then sinθ =

A. 3/5

B. 5/3

C. 4/5

D. 3/4

Show Answer

Answer: 3/5

Explanation: sinθ = opposite/hypotenuse = 3/5.

Question 40

Find the value of cos 0°

A. 0

B. 1

C. -1

D. 1/2

Show Answer

Answer: 1

Explanation: cos 0° = 1 from standard trigonometric values.

Question 41

The bearing of a point due East is

A. 000°

B. 090°

C. 180°

D. 270°

Show Answer

Answer: 090°

Explanation: Bearings are measured clockwise from North → East = 90°.

Question 42

If a vector has components (3, 4), its magnitude is

A. 5

B. 7

C. 1

D. 12

Show Answer

Answer: 5

Explanation: Magnitude = √(3² + 4²) = √(9 + 16) = √25 = 5.

Question 43

Add the vectors (2, 3) and (1, -1)

A. (3, 2)

B. (1, 2)

C. (3, 4)

D. (2, 2)

Show Answer

Answer: (3, 2)

Explanation: Add components: (2+1, 3−1) = (3, 2).

Question 44

The determinant of matrix |1 2; 3 4| is

A. -2

B. 2

C. 10

D. -10

Show Answer

Answer: -2

Explanation: Determinant = (1×4 − 2×3) = 4 − 6 = -2.

Question 45

The mean of 2, 4, 6, 8 is

A. 4

B. 5

C. 6

D. 8

Show Answer

Answer: 5

Explanation: Mean = (2+4+6+8)/4 = 20/4 = 5.

Question 46

The median of 1, 3, 5, 7, 9 is

A. 3

B. 5

C. 7

D. 9

Show Answer

Answer: 5

Explanation: The middle value in an ordered list is the median → 5.

Question 47

The mode of 1, 2, 2, 3, 4 is

A. 1

B. 2

C. 3

D. 4

Show Answer

Answer: 2

Explanation: Mode is the most frequent value → 2 appears twice.

Question 48

If a die is thrown, the probability of getting an even number is

A. 1/6

B. 1/2

C. 1/3

D. 2/3

Show Answer

Answer: 1/2

Explanation: Even numbers: 2, 4, 6 → 3 outcomes out of 6 → 3/6 = 1/2.

Question 49

The probability of an impossible event is

A. 1

B. 0

C. 1/2

D. -1

Show Answer

Answer: 0

Explanation: An impossible event has probability 0.

Question 50

If the probability of success is 0.7, then the probability of failure is

A. 0.3

B. 0.7

C. 1.7

D. -0.3

Show Answer

Answer: 0.3

Explanation: Failure = 1 − success = 1 − 0.7 = 0.3.

0570 Mathematics 2023 Solution Paper 1

GCE O Level Mathematics P1 Solution June 2023

Complete Questions, Answers and Explanations

0570 Mathematics Paper 1 June 2023 Questions and Answers

Topics Covered

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

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