0570 Mathematics 2016 Solution Paper 1

GCE O Level Mathematics P1 Solution June 2016

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  2016 ORDINARY LEVEL

Centre Number
Centre Name	GCE Panel
Candidate Identification Number
Candidate Name

Source: Cameroon GCE Board | Compiled by GCE Panel

Question 1

Evaluate 4 − 8 ÷ 4 + 8

A. 1

B. 6

C. 7

D. 10

Show Answer

Answer: 10

Explanation:
Apply BODMAS:
Step 1: Division → 8 ÷ 4 = 2
Step 2: 4 − 2 + 8
Step 3: 2 + 8 = 10

Question 2

The numeral 231 (base 5) expressed in base 10 is

A. 42

B. 30

C. 36

D. 66

Show Answer

Answer: 66

Explanation:
Convert base 5 to base 10:
= 2×5² + 3×5¹ + 1×5⁰
= 2×25 + 3×5 + 1
= 50 + 15 + 1 = 66

Question 3

The number of prime numbers in the interval 2 ≤ n < 11 is

A. 6

B. 3

C. 5

D. 4

Show Answer

Answer: 4

Explanation:
Prime numbers between 2 and 10:
2, 3, 5, 7 → total = 4

Question 4

A juice at −21°C increases by 36°C. Final temperature?

A. 57°C

B. 15°C

C. -57°C

D. -15°C

Show Answer

Answer: 15°C

Explanation:
Final = -21 + 36 = 15°C

Question 5

There are 28 girls and 32 boys. Fraction of girls?

A. 7/15

B. 14/15

C. 7/8

D. 28/32

Show Answer

Answer: 7/15

Explanation:
Total = 28 + 32 = 60
Fraction = 28/60 = 7/15

Question 6

A bag has 120 sweets. Every 3 hours, half is given out. After 6 hours?

A. 15

B. 20

C. 30

D. 60

Show Answer

Answer: 30

Explanation:
After 3 hrs: 120 ÷ 2 = 60
After 6 hrs: 60 ÷ 2 = 30

Question 7

Which statement is true?

A. √7 ∈ Q

B. -4 ∈ R

C. N ⊂ R

D. Q ⊂ N

Show Answer

Answer: N ⊂ R

Explanation:
Natural numbers are a subset of real numbers.

Question 8

0.020493 to 3 significant figures

A. 0.02

B. 0.020

C. 0.0205

D. 0.02049

Show Answer

Answer: 0.0205

Explanation:
Digits: 2,0,4 → next digit 9 → round up → 0.0205

Question 9

p = 4.8 × 10⁻³ as a decimal

A. 0.038

B. 0.0048

C. 0.048

D. 0.004

Show Answer

Answer: 0.0048

Explanation:
Move decimal 3 places left → 0.0048

Question 10

1 Euro = 600 FCFA. 120,000 FCFA in Euros?

A. 200 EU

B. 200 FCFA

C. 72,000,000 FCFA

D. 72,000,000 EU

Show Answer

Answer: 200 EU

Explanation:
120000 ÷ 600 = 200

Question 11

Salary increases from 92,000 to 115,000. Percentage increase?

A. 20%

B. 30%

C. 25%

D. 15%

Show Answer

Answer: 25%

Explanation:
Increase = 23000
Percentage = (23000 / 92000) × 100 = 25%

Question 12

250,000 at 6% simple interest for 2 years. Total amount?

A. 265,000

B. 280,000

C. 375,000

D. 500,000

Show Answer

Answer: 280,000

Explanation:
Interest = (6/100 × 250000 × 2) = 30000
Total = 250000 + 30000 = 280000

Question 13

Region P' ∩ Q in Venn diagram

A. 2

B. 3

C. 6

D. 8

Show Answer

Answer: 6

Explanation:
P' ∩ Q = elements in Q but not in P → from diagram = 6.

Question 14

L ⊂ P' means

A. Lemon is sweet

B. No lemon is a sweet fruit

C. Some lemons are sweet fruit

D. Some lemons are not sweet fruit

Show Answer

Answer: No lemon is a sweet fruit

Explanation:
Subset of complement → none of L are in P.

Question 15

p: 4 is factor of 16, q: 4 > 2. p ∧ q is

A. OR statement

B. implies

C. iff

D. AND statement

Show Answer

Answer: AND statement

Explanation:
∧ means AND → both statements true.

Question 16

Which is a proposition?

A. Question

B. Command

C. Statement with truth value

D. Instruction

Show Answer

Answer: Statement with truth value

Explanation:
A proposition must be true or false.

Question 17

Which relation is a function?

A. mother of

B. square root of

C. father of

D. square of

Show Answer

Answer: square of

Explanation:
Each input has exactly one output.

Question 18

Inverse of h(x) = (7x − 5)/3

A. (7x − 5)/3

B. (7x + 5)/3

C. (3x + 5)/7

D. (3x − 5)/7

Show Answer

Answer: (3x + 5)/7

Explanation:
Swap x,y → solve → y = (3x + 5)/7

Question 19

A line cutting parallel lines is called

A. Parallel

B. Corresponding

C. Straight

D. Transversal

Show Answer

Answer: Transversal

Explanation:
A transversal intersects parallel lines.

Question 20

Interior angle = 165°, find number of sides

A. 14

B. 15

C. 20

D. 24

Show Answer

Answer: 24

Explanation:
(n−2)180/n = 165
180n − 360 = 165n
15n = 360
n = 24

Question 31

Equation of horizontal line through y = 5

A. x = 5

B. y = 5

C. y = x

D. x = y

Show Answer

Answer: y = 5

Explanation:
Horizontal lines have constant y-value.

Question 32

Solve x − 4 ≥ 2

A. x ≥ 6

B. x ≤ 6

C. x ≥ -2

D. x ≤ -2

Show Answer

Answer: x ≥ 6

Explanation:
Add 4 both sides → x ≥ 6

Question 33

Simplify 2³ × 2²

A. 2⁵

B. 2⁶

C. 4⁵

D. 8⁵

Show Answer

Answer: 2⁵

Explanation:
Add powers → 2^(3+2) = 2⁵

Question 34

Next term in sequence 2, 5, 8, ...

A. 10

B. 11

C. 12

D. 13

Show Answer

Answer: 11

Explanation:
Common difference = +3

Question 35

Probability of getting head in fair coin

A. 1/4

B. 1/3

C. 1/2

D. 1

Show Answer

Answer: 1/2

Explanation:
2 outcomes → 1 favorable → 1/2

Question 36

Mean of 2,4,6,8

A. 4

B. 5

C. 6

D. 8

Show Answer

Answer: 5

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

Question 37

Median of 1,3,5,7,9

A. 3

B. 5

C. 7

D. 9

Show Answer

Answer: 5

Explanation:
Middle value = 5

Question 38

Mode of 2,2,3,4,4,4,5

A. 2

B. 3

C. 4

D. 5

Show Answer

Answer: 4

Explanation:
Most frequent value = 4

Question 39

Range of 3,7,2,9

A. 6

B. 7

C. 5

D. 4

Show Answer

Answer: 7

Explanation:
9 − 2 = 7

Question 40

sin 30°

A. 1

B. 1/2

C. √3/2

D. 0

Show Answer

Answer: 1/2

Question 41

cos 60°

A. 1/2

B. √3/2

C. 1

D. 0

Show Answer

Answer: 1/2

Question 42

tan 45°

A. 0

B. 1

C. √3

D. 2

Show Answer

Answer: 1

Question 43

Magnitude of vector (3,4)

A. 5

B. 7

C. 1

D. 25

Show Answer

Answer: 5

Explanation:
√(3²+4²)=5

Question 44

Direction of vector (-1,-1)

A. 45°

B. 135°

C. 225°

D. 315°

Show Answer

Answer: 225°

Question 45

Order of matrix (2×3)

A. 2 rows 3 columns

B. 3 rows 2 columns

C. square

D. identity

Show Answer

Answer: 2 rows 3 columns

Question 46

Transpose swaps

A. rows to columns

B. values

C. signs

D. diagonals

Show Answer

Answer: rows to columns

Question 47

Range of 5,9,2,10

A. 5

B. 8

C. 7

D. 10

Show Answer

Answer: 8

Explanation:
10 − 2 = 8

Question 48

Median of 2,4,6

A. 2

B. 4

C. 6

D. 12

Show Answer

Answer: 4

Question 49

Mode of 1,2,2,3

A. 1

B. 2

C. 3

D. none

Show Answer

Answer: 2

Question 50

If P(A)=2/5, then P(not A)

A. 3/5

B. 2/5

C. 4/5

D. 1/5

Show Answer

Answer: 3/5

Explanation:
1 − 2/5 = 3/5