0570 GCE Mathematics Paper 1 2024

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0570 Mathematics Paper 1 June 2024 Questions & Answers (PDF + Solutions)

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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 NameGCE 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

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

A. Remainder
B. Divisor
C. Quotient
D. Dividend

Question 2

The next prime number greater than 23 is

A. 31
B. 25
C. 27
D. 29

Question 3

The absolute value of -1 - 9 is

A. -10
B. 10
C. -8
D. 8

Question 4

Converting 0.15 to a fraction gives

A. 3/20
B. 15/100
C. 3/100
D. 15/20

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

Question 6

The number of significant figures in 14.501 is

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

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

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

Question 9

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

A. 5,000
B. 15,000
C. 90,000
D. 25,000

Question 10

Map scale 1:50,000. 4 cm represents

A. 2 km
B. 20 km
C. 2.5 km
D. 25 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

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

Question 13

The shaded region represents

A. A ∪ B
B. (A ∩ B)'
C. (A ∪ B)'
D. 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

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}

Question 16

If f(x) = 1 − x, find f(-3)

A. -7
B. 7
C. -5
D. 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)

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

Question 19

A polygon with nine sides is called

A. Octagon
B. Decagon
C. Nonagon
D. Heptagon

Question 20

The sum of the interior angles of a triangle is

A. 90°
B. 270°
C. 360°
D. 180°

Question 21

The number of lines of symmetry in a rhombus is

A. 8
B. 4
C. 1
D. 2

Question 22

In the circle shown, find θ

A. 35°
B. 70°
C. 55°
D. 20°

Question 23

The net shown represents

A. Rectangle
B. Cylinder
C. Square
D. Open cylinder

Question 24

The number of edges in the rectangular pyramid is

A. 5
B. 4
C. 8
D. 9

Question 25

The shaded region in the circle is called a

A. Segment
B. Sector
C. Chord
D. Secant

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)

Question 27

In the triangle shown find x

A. 8
B. 4
C. 2
D. 18

Question 28

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

A. 60π
B. 360π
C. 120π
D. 180π

Question 29

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

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

Question 30

The gradient of 3y = 6x − 3 is

A. -1
B. 6
C. -2
D. 2

Question 31

The equation of the line shown is

A. y = 4
B. x = 4
C. y = 4x
D. 4y = x

Question 32

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

A. 2 − 2a
B. 2a + 2
C. 2a − 2
D. 2a + 2b − 2

Question 33

Find x² − y when x = 3 and y = 2

A. 1
B. 7
C. 11
D. 4

Question 34

Solve 7 − 2x ≤ 19

A. x ≥ -6
B. x ≤ -6
C. x ≤ 6
D. 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)

Question 36

Simplify 2⁻³

A. -1/8
B. 1/8
C. 1/6
D. -1/6

Question 37

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

A. 11
B. 14
C. 9
D. 10

Question 38

The number of even nodes in the network is

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

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

Question 40

In the right-angled triangle shown find n

A. 14
B. 6
C. 8
D. 10

Question 41

The bearing of R from S is

A. 026°
B. 154°
C. 206°
D. 116°

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]

Question 43

If OP = −4i + 3j then |OP| is

A. 5
B. 7
C. 1
D. 25

Question 44

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

A. 315°
B. 135°
C. 45°
D. 225°

Question 45

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

A. 3 × 1
B. 1 × 3
C. 2 × 1
D. 2 × 3

Question 46

Find the transpose of the matrix shown

A. A
B. B
C. C
D. D

Question 47

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

A. 2
B. 7
C. 8
D. 23

Question 48

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

A. 7
B. 1
C. 0
D. 3

Question 49

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

A. 8
B. 9
C. 6
D. 15

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

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 2024?

GCE O Level Mathematics Paper 1 (0570) 2024 is a multiple-choice exam testing algebra, geometry, trigonometry, and statistics without a calculator.


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