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Question (11)

QN0029463

A pie chart has sectors of 90°, 120°, 60° and the remaining angle. What is the remaining angle?

(A) 80°
(B) 90°
(C) 70°
(D) 60°

Correct Answer: B

Explanation:

Remaining angle = 360° − (90° + 120° + 60°) = 90°.

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Question (12)

QN0029464

A bag contains marbles in the ratio Red : Green : Blue = 5 : 3 : 2. If there are 20 blue marbles, how many marbles are there altogether?

(A) 80
(B) 100
(C) 120
(D) 140

Correct Answer: B

Explanation:

Blue marbles represent 2 parts = 20, so 1 part = 10. Total marbles = 10 × 10 = 100.

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Question (13)

QN0029465

Which pair of quantities is most likely to be in inverse proportion?

(A) Number of books and total cost at fixed price
(B) Number of workers and days to finish fixed work
(C) Distance travelled and petrol used
(D) Number of students and notebooks required

Correct Answer: B

Explanation:

As the number of workers increases, the days required decrease for the same amount of work.

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Question (14)

QN0029466

The sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter is 45 cm. What is the longest side?

(A) 10 cm
(B) 15 cm
(C) 20 cm
(D) 18 cm

Correct Answer: C

Explanation:

Total ratio parts = 9. One part = 45 ÷ 9 = 5 cm. Longest side = 4 × 5 = 20 cm.

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Question (15)

QN0029467

A school timetable has periods and duration inversely related. If 8 periods of 40 minutes each are rearranged into 10 periods, what will be the new duration of each period?

(A) 30 min
(B) 32 min
(C) 36 min
(D) 40 min

Correct Answer: B

Explanation:

Total school time = 8 × 40 = 320 minutes. New duration = 320 ÷ 10 = 32 minutes.

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Question (16)

QN0029468

A concrete mix uses cement, sand and gravel in the ratio 1 : 2 : 4. If 70 bags of mixture are required, how many bags of gravel are needed?

(A) 20
(B) 30
(C) 40
(D) 50

Correct Answer: C

Explanation:

Total parts = 7. Gravel required = 70 × 4/7 = 40 bags.

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Question (17)

QN0029469

A cyclist doubles his speed while travelling the same distance. The time taken will become:

(A) Double
(B) Half
(C) Four times
(D) Unchanged

Correct Answer: B

Explanation:

For a fixed distance, speed and time are inversely proportional. Doubling speed halves the time.

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Question (18)

QN0029470

The ratio 12 : 18 : 24 in simplest form is:

(A) 6 : 9 : 12
(B) 4 : 6 : 8
(C) 2 : 3 : 4
(D) 3 : 4 : 5

Correct Answer: C

Explanation:

Divide all terms by their HCF, 6, to get 2 : 3 : 4.

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Question (19)

QN0029471

A tank can be filled by 6 identical pumps in 8 hours. If only 4 pumps are used, how long will it take?

(A) 10 h
(B) 12 h
(C) 14 h
(D) 16 h

Correct Answer: B

Explanation:

Pumps and time are inversely proportional. 6 × 8 = 4 × x, so x = 12 hours.

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Question (20)

QN0029472

In a survey, 25% students prefer football, 35% cricket and the rest badminton. What central angle should represent badminton in a pie chart?

(A) 90°
(B) 108°
(C) 144°
(D) 180°

Correct Answer: C

Explanation:

Remaining percentage = 100 − 25 − 35 = 40%. Angle = (40/100) × 360° = 144°.

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Question (11)

A pie chart has sectors of 90°, 120°, 60° and the remaining angle. What is the remaining angle?

Explanation:

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Question (12)

A bag contains marbles in the ratio Red : Green : Blue = 5 : 3 : 2. If there are 20 blue marbles, how many marbles are there altogether?

Explanation:

Link:

Question (13)

Which pair of quantities is most likely to be in inverse proportion?

Explanation:

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Question (14)

The sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter is 45 cm. What is the longest side?

Explanation:

Link:

Question (15)

A school timetable has periods and duration inversely related. If 8 periods of 40 minutes each are rearranged into 10 periods, what will be the new duration of each period?

Explanation:

Link:

Question (16)

A concrete mix uses cement, sand and gravel in the ratio 1 : 2 : 4. If 70 bags of mixture are required, how many bags of gravel are needed?

Explanation:

Link:

Question (17)

A cyclist doubles his speed while travelling the same distance. The time taken will become:

Explanation:

Link:

Question (18)

The ratio 12 : 18 : 24 in simplest form is:

Explanation:

Link:

Question (19)

A tank can be filled by 6 identical pumps in 8 hours. If only 4 pumps are used, how long will it take?

Explanation:

Link:

Question (20)

In a survey, 25% students prefer football, 35% cricket and the rest badminton. What central angle should represent badminton in a pie chart?

Explanation:

Link:

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