0570 Mathematics 2022 Solution Paper 1

GCE O Level Mathematics P1 Solution June 2022

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  2022 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

Question 1

Simplifying 1/3 of (-3 + 12) gives

A. -5

B. 3

C. 5

D. -3

Show Answer

Answer: 3

Explanation: (-3 + 12) = 9, then 1/3 × 9 = 3.

Question 2

The arithmetic property for which 5 + 3 = 3 + 5 is

A. Associative

B. Distributive

C. Commutative

D. Additive

Show Answer

Answer: Commutative

Explanation: Changing order without changing result is the commutative property.

Question 3

The value of 4 in the number 37.49 is

A. 4 tenth

B. 4 tens

C. 4 hundreds

D. 4 units

Show Answer

Answer: 4 tenth

Explanation: 4 is in the tenths place → value = 0.4.

Question 4

The H.C.F of 2a²b and ab is

A. a²b

B. 2a²b

C. ab

D. 2a³b²

Show Answer

Answer: ab

Explanation: Take common factors with lowest powers → a¹b¹.

Question 5

The number 80270 correct to one significant figure is

A. 80300

B. 80200

C. 81000

D. 80000

Show Answer

Answer: 80000

Explanation: First digit is 8, next digit is 0 (<5), so round down → 80000.

Question 6

Given that a dress is sold for 6000 FCFA at 20% profit, the cost price is

A. 5000

B. 4800

C. 7200

D. 12000

Show Answer

Answer: 5000

Explanation: SP = 120% of CP → CP = 6000 ÷ 1.2 = 5000.

Question 7

An article is sold at 20% profit. The ratio of cost price to selling price is

A. 5 : 6

B. 6 : 5

C. 4 : 5

D. 5 : 4

Show Answer

Answer: 5 : 6

Explanation: SP = 120% of CP → ratio = 100 : 120 = 5 : 6.

Question 8

A map scale is 1 : 2000. A distance of 2.5 cm represents how many meters?

A. 5000

B. 500

C. 5

D. 50

Show Answer

Answer: 50

Explanation: 2.5 × 2000 = 5000 cm = 50 m.

Question 9

Expressing 0.32 as a fraction gives

A. 25/8

B. 16/5

C. 8/25

D. 4/125

Show Answer

Answer: 8/25

Explanation: 0.32 = 32/100 = 8/25.

Question 10

Given that 1 USD = 550 FCFA, express 250 dollars in FCFA

A. 250000

B. 110000

C. 13750

D. 137500

Show Answer

Answer: 137500

Explanation: 250 × 550 = 137500 FCFA.

Question 11

Given M = {a, b, c} and N = {d, e}, then M ∩ N =

A. 0

B. { }

C. {φ}

D. {0}

Show Answer

Answer: { }

Explanation: No common elements → empty set.

Question 12

A set P = {a, b} is called a

A. Doubleton

B. A dual set

C. Power set

D. Proper set

Show Answer

Answer: Doubleton

Explanation: A set with exactly two elements.

Question 13

From the Venn diagram, the universal set is

A. {2, 3, 4, 5}

B. {1}

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

D. {1, 3}

Show Answer

Answer: {1, 2, 3, 4, 5}

Explanation: Universal set includes all elements shown in the rectangle.

Question 14

The converse of q → p is

A. ~q → ~p

B. ~p → ~q

C. p → q

D. q ↔ p

Show Answer

Answer: p → q

Explanation: Converse swaps hypothesis and conclusion.

Question 15

The mapping shown is

A. 1–1

B. 1–Many

C. Many–1

D. Many–Many

Show Answer

Answer: 1–Many

Explanation: One element maps to multiple elements.

Question 16

Given f(x) = 2x − 1, find f(−2)

A. 3

B. 5

C. −3

D. −5

Show Answer

Answer: −5

Explanation: 2(−2) − 1 = −4 − 1 = −5.

Question 17

The inverse of f(x) = 2 + x is

A. x − 2

B. 2 − x

C. 2 + x

D. −2 − x

Show Answer

Answer: x − 2

Explanation: Swap x and y: y = x + 2 → x = y − 2.

Question 18

Lines l₁ and l₂ are

A. Parallel

B. Perpendicular

C. Adjacent

D. Transversals

Show Answer

Answer: Parallel

Explanation: Same gradient → parallel lines.

Question 19

The plane figure shown is a

A. Rhombus

B. Kite

C. Quadrilateral

D. Trapezium

Show Answer

Answer: Kite

Explanation: Two pairs of adjacent equal sides.

Question 20

An interior angle is 90°, the number of sides is

A. 6

B. 3

C. 4

D. 5

Show Answer

Answer: 4

Explanation: Square has interior angle 90°.

Question 21

A rectangular pyramid has

A. Eight faces

B. Four faces

C. Six edges

D. Five vertices

Show Answer

Answer: Five vertices

Question 22

Find x in the triangle

A. 100°

B. 80°

C. 30°

D. 70°

Show Answer

Answer: 80°

Explanation: Sum of angles = 180°, exterior angle considered.

Question 23

A rectangle has area 1000 m² and width 20 m. Length is

A. 80

B. 60

C. 50

D. 40

Show Answer

Answer: 50

Explanation: Length = 1000 ÷ 20 = 50.

Question 24

The ratio circumference/diameter is

A. Radius

B. π

C. Diameter

D. Chord

Show Answer

Answer: π

Question 25

Volume of cuboid (8×5×4)

A. 17

B. 44

C. 72

D. 160

Show Answer

Answer: 160

Explanation: 8 × 5 × 4 = 160.

Question 26

The x-intercept of 2y + 5x = 10 is

A. -5

B. 5

C. -2

D. 2

Show Answer

Answer: 2

Explanation: Set y=0 → 5x=10 → x=2.

Question 27

Gradient of 2y + x = 3

A. -1/2

B. 1/2

C. 2

D. -2

Show Answer

Answer: -1/2

Explanation: y = (-1/2)x + 3/2.

Question 28

In 1 + 4x = 9, x is

A. A variable

B. An unknown

C. A solution

D. A constant

Show Answer

Answer: An unknown

Question 29

Simplify 6m² / 3m

A. 2m²

B. 3m

C. 2m

D. 3m²

Show Answer

Answer: 2m

Explanation: 6/3=2 and m²/m=m → 2m.

Question 30

Expanding (x + 3)(x + 3)

A. x² + 3²

B. x² + 3x + 9

C. x² + 6x + 9

D. x² + 9x + 9

Show Answer

Answer: x² + 6x + 9

Question 31

Given x=3, y=2, find 2x−3y

A. 12

B. 0

C. -2

D. -1

Show Answer

Answer: 0

Question 32

2^x = 8, x =

A. 4

B. 3

C. 2

D. 6

Show Answer

Answer: 3

Question 33

Number line inequality

A. x > -3

B. x ≥ -3

C. x < -3

D. x ≤ -3

Show Answer

Answer: x > -3

Question 34

Tₙ = 2n − 3, find T₄

A. -4

B. 4

C. 5

D. 11

Show Answer

Answer: 5

Question 35

Number of arcs

A. 3

B. 2

C. 4

D. 5

Show Answer

Answer: 4

Question 36

Roots of graph

A. 3

B. -1 and 3

C. -1

D. 1 and -3

Show Answer

Answer: -1 and 3

Question 37

Trig positive in 4th quadrant

A. Cosine

B. Tangent

C. Sine

D. Cosecant

Show Answer

Answer: Cosine

Question 38

Find hypotenuse

A. 60

B. 169

C. 13

D. 17

Show Answer

Answer: 13

Question 39

tan45° =

A. 2/√3

B. 1

C. 1/2

D. 1/√2

Show Answer

Answer: 1

Question 40

3a where a=(2,3)

A. (6,9)

B. (6,3)

C. (2,9)

D. (5,6)

Show Answer

Answer: (6,9)

Question 41

|5j − 2i|

A. 3

B. √29

C. √21

D. 7

Show Answer

Answer: √29

Question 42

Find AB

A. 6i+6j

B. 2j

C. -2j

D. 3i+3j

Show Answer

Answer: 2j

Question 43

Square matrix

A

B

C

D

Show Answer

Answer: D

Question 44

Determinant

A. -10

B. 10

C. 3

D. -5

Show Answer

Answer: 10

Question 45

Translate (3,2)

A. (1,6)

B. (-6,8)

C. (-5,2)

D. (5,-2)

Show Answer

Answer: (1,6)

Question 46

Pie chart total

A. 180°

B. 90°

C. 360°

D. 270°

Show Answer

Answer: 360°

Question 47

Range of data

A. 2

B. 7

C. 1

D. 8

Show Answer

Answer: 7

Question 48

Median

A. 7

B. 2

C. 5

D. 6

Show Answer

Answer: 5

Question 49

Mean

A. 20

B. 5

C. 4

D. 6

Show Answer

Answer: 5

Question 50

Probability of vowel in GOVERNANCE

A. 2/5

B. 3/5

C. 3/10

D. 7/10

Show Answer

Answer: 3/5