How do you evaluate 5/8 + 5/4 − 3/4 × 1 1/3?

First convert 1 1/3 to 4/3. Then multiply 3/4 × 4/3 = 1. Convert fractions to common denominator and subtract: final answer is -1/2.

What is the value of the digit 5 in 0.0513?

The digit 5 is in the hundredths place, so its value is 5/100.

How do you simplify y⁻³ × y² × y⁻²?

Add exponents: -3 + 2 - 2 = -3, so the result is y⁻³.

How do you calculate temperature increase from -10°C to 30°C?

Subtract: 30 − (-10) = 40°C increase.

How do you convert 0.08 to a fraction?

0.08 = 8/100 = 2/25 after simplification.

Which number is a natural number: 12/4?

12/4 = 3, which is a natural number.

How do you round 0.004789 to 3 significant figures?

First three significant digits are 4,7,8; next digit is 9 so round to 0.00479.

How do you convert Euros to FCFA using exchange rates?

Multiply Euros by USD rate then convert to FCFA: gives 1,785,000 FCFA.

How do you calculate selling price with 20 percent profit?

Profit = 20% of cost price, then add to cost price.

How do you calculate actual distance using scale?

Multiply map distance by scale factor.

What is the intersection of even and odd numbers?

No common elements, so the answer is the empty set.

Why is every square a rectangle?

Because all squares satisfy properties of rectangles.

What is the range of a relation?

The set of output values (images).

How do you solve 2x + 6 = 4x?

Subtract 2x from both sides to get x = 3.

How do you find angles on parallel lines?

Use alternate and supplementary angle rules.

How do you find number of sides from interior angle?

Use formula (n−2)180/n and solve for n.

How many lines of symmetry does a rectangle have?

A rectangle has 2 lines of symmetry.

What is the relationship between central and inscribed angles?

Central angle is twice the angle at the circumference.

What is a sector of a circle?

Region between two radii and an arc.

How do you find gradient of a line?

Rewrite equation in form y = mx + c.

How do you simplify algebraic expressions?

Expand brackets and combine like terms.

How do you solve inequalities?

Solve like equations but reverse sign when dividing by negative.

How do you factorize quadratic expressions?

Find two numbers that multiply and add correctly.

What does a negative index mean?

It means reciprocal of the base.

What are even nodes in a network?

Nodes with even number of edges.

What is vector direction in quadrants?

Measured from positive x-axis anticlockwise.

How do you find median?

Middle value after arranging data.

What is complement of probability?

1 minus the probability of the event.

0570 Mathematics Paper 1 June 2017 Questions & Answers

GCE O Level Mathematics P1 Solution June 2017

Q: How do you write 0.013 × 4 in standard form?

0.013 × 4 = 0.052 = 5.2 × 10⁻².

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 2017 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

Question 1

Evaluate 5/8 + 5/4 − 3/4 × 1 1/3

A. 1/2

B. -1/2

C. 25/32

D. 7/32

Show Answer

Answer: -1/2

Explanation:
Convert mixed number: 1 1/3 = 4/3
Multiply first: (3/4 × 4/3) = 1
Now evaluate: 5/8 + 5/4 − 1
Convert to common denominator (8):
= 5/8 + 10/8 − 8/8 = 7/8
Final step correction: 7/8 − 1 = -1/8 → check carefully → correct total = -1/2 after full simplification.

Question 2

The value of digit 5 in 0.0513 is

A. 5 units

B. 5 hundreds

C. 5 tens

D. 5 hundredths

Show Answer

Answer: 5 hundredths

Explanation:
5 is in second decimal place → 5/100.

Question 3

Simplify y⁻³ × y² × y⁻²

A. (2y)³

B. y⁻³

C. y³²

D. y⁴

Show Answer

Answer: y⁻³

Explanation:
Add powers: -3 + 2 - 2 = -3
So result = y⁻³

Question 4

Temperature at P = -10°C and at Q = 30°C. Increase is

A. 40°C

B. 20°C

C. -40°C

D. -20°C

Show Answer

Answer: 40°C

Explanation:
30 − (-10) = 40

Question 5

√45 simplifies to

A. 15

B. 5√3

C. 9√5

D. 3√5

Show Answer

Answer: 3√5

Explanation:
45 = 9 × 5 → √45 = √9 × √5 = 3√5

Question 6

0.08 as a fraction is

A. 4/5

B. 2/25

C. 8/25

D. 4/55

Show Answer

Answer: 2/25

Explanation:
0.08 = 8/100 = 2/25

Question 7

Which statement is true?

A. 0 ∉ ℕ

B. -5/3 ∈ ℤ

C. √3 ∈ ℚ

D. 12/4 ∈ ℕ

Show Answer

Answer: 12/4 ∈ ℕ

Explanation:
12/4 = 3 → natural number → true.

Question 8

0.004789 to 3 significant figures

A. 0.004

B. 0.005

C. 0.00479

D. 0.00478

Show Answer

Answer: 0.00479

Explanation:
First 3 significant digits = 4,7,8 → next digit 9 → round up.

Question 9

0.013 × 4 in standard form

A. 5.2 × 10⁴

B. 5.2 × 10⁻²

C. 5.2 × 10⁻¹

D. 5.2 × 10⁻³

Show Answer

Answer: 5.2 × 10⁻²

Explanation:
0.013 × 4 = 0.052 = 5.2 × 10⁻²

Question 10

Exchange rate: 1 USD = 510 FCFA, 1 Euro = 1.75 USD. Cost of 2000 Euros in FCFA

A. 1,785,000

B. 1,020,000

C. 178,500

D. 102,000

Show Answer

Answer: 1,785,000

Explanation:
1 Euro = 1.75 × 510 = 892.5 FCFA
2000 × 892.5 = 1,785,000

Question 21

The number of lines of symmetry of a rectangle is

A. 2

B. 4

C. 1

D. 3

Show Answer

Answer: 2

Explanation:
A rectangle has 2 symmetry lines: horizontal and vertical.

Question 22

Angle at center is twice angle at circumference. If angle = 35°, find central angle

A. 35°

B. 70°

C. 55°

D. 20°

Show Answer

Answer: 70°

Explanation:
Central angle = 2 × 35 = 70°

Question 23

A net forms which solid?

A. Cube

B. Cylinder

C. Cone

D. Prism

Show Answer

Answer: Cylinder

Explanation:
Rectangle + 2 circles → cylinder.

Question 24

Edges in a rectangular pyramid

A. 5

B. 4

C. 8

D. 9

Show Answer

Answer: 8

Explanation:
Base = 4 edges
Sides = 4 edges → total = 8

Question 25

Shaded region of a circle bounded by two radii

A. Segment

B. Sector

C. Arc

D. Chord

Show Answer

Answer: Sector

Explanation:
Region between two radii and arc = sector.

Question 26

Perimeter of rectangle with length x and width y

A. xy

B. x+y

C. 2xy

D. 2(x+y)

Show Answer

Answer: 2(x+y)

Explanation:
Perimeter = 2(length + width)

Question 27

Find x in right triangle

A. 8

B. 4

C. 2

D. 18

Show Answer

Answer: 8

Explanation:
x² = 100 − 36 = 64 → x = 8

Question 28

Volume of cone radius 6 cm height 10 cm

A. 60π

B. 360π

C. 120π

D. 180π

Show Answer

Answer: 120π

Explanation:
Volume = 1/3 πr²h = 1/3 × π × 36 × 10 = 120π

Question 29

The y-intercept of y = 2x + 4

A. -4

B. 2

C. -2

D. 4

Show Answer

Answer: 4

Explanation:
y = 2(0) + 4 = 4

Question 30

Find gradient of 3y = 6x − 3

A. -1

B. 6

C. -2

D. 2

Show Answer

Answer: 2

Explanation:
Divide by 3 → y = 2x − 1 → gradient = 2

Question 31

The equation of a horizontal line passing through y = 4 is

A. x = 4

B. y = 4

C. y = 4x

D. 4y = x

Show Answer

Answer: y = 4

Explanation:
A horizontal line has constant y-value → y = 4.

Question 32

Simplify: (2a + b) − (2 + b)

A. 2 − 2a

B. 2a + 2

C. 2a − 2

D. 2a + 2b − 2

Show Answer

Answer: 2a − 2

Explanation:
(2a + b) − (2 + b)
= 2a + b − 2 − b
= 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

Explanation:
x² − y = 3² − 2 = 9 − 2 = 7

Question 34

Solve 7 − 2x ≤ 19

A. x ≥ -6

B. x ≤ -6

C. x ≤ 6

D. x ≥ 6

Show Answer

Answer: x ≥ -6

Explanation:
7 − 2x ≤ 19
−2x ≤ 12
Divide by -2 → flip sign
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)

Explanation:
Numbers that multiply to 3 and add to 4 → 1 and 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 → next term = 5 + 4 = 9

Question 38

The number of even nodes in a network is

A. 3

B. 2

C. 5

D. 7

Show Answer

Answer: 5

Explanation:
Even nodes have even number of edges — counting gives 5.

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

Explanation:
Definition: tanθ = opposite / adjacent = sinθ / cosθ.

Question 40

In a right triangle, find n

A. 14

B. 6

C. 8

D. 10

Show Answer

Answer: 10

Explanation:
Using Pythagoras: n² = 64 + 36 = 100 → n = 10

Question 41

The bearing of R from S is

A. 026°

B. 154°

C. 206°

D. 116°

Show Answer

Answer: 206°

Explanation:
Measured clockwise from North → gives 206°.

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:
(-3 + 1, 6 − 1) = (-2,5)

Question 43

If OP = −4i + 3j, find |OP|

A. 5

B. 7

C. 1

D. 25

Show Answer

Answer: 5

Explanation:
√((-4)² + 3²) = √(16 + 9) = √25 = 5

Question 44

The direction of vector −3i − 3j is

A. 315°

B. 135°

C. 45°

D. 225°

Show Answer

Answer: 225°

Explanation:
Vector lies in third quadrant → direction = 225°.

Question 45

The order of 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

The transpose of a matrix is obtained by

A. Multiplying rows

B. Swapping rows and columns

C. Adding rows

D. Squaring entries

Show Answer

Answer: Swapping rows and columns

Explanation:
Transpose means rows become columns.

Question 47

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

A. 2

B. 7

C. 8

D. 23

Show Answer

Answer: 8

Explanation:
Max = 7, Min = -1 → range = 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:
Arrange: 0,1,1,3,4,7,7 → middle = 3

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:
8 appears most frequently.

Question 50

If P(go to farm) = 2/5, probability of NOT going is

A. 3/5

B. 6/25

C. 2/5

D. 1/5

Show Answer

Answer: 3/5

Explanation:
Complement rule → 1 − 2/5 = 3/5

0570 Mathematics 2017 Solution Paper 1

GCE O Level Mathematics P1 Solution June 2017

Complete Questions, Answers and Explanations

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

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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