NUST NET Quantitative Maths chapter 5: Quantitative · Geometry and mensuration MCQs with answers

By Team Megalecture · Updated 13 Nov 2026

58 exam-style questions on Quantitative · Geometry and mensuration, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.

58 questions · 3 topics · 10 per test

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What chapter 5 covers

Ten Quantitative · Geometry and mensuration questions with answers

Try each one, then open the answer. These ten stay the same; the test draws new ones every time.

1. The distance between (2, 3) and (5, k) is 5 units, and k is greater than 3. What is k?

  1. A
    4
  2. B
    5
  3. C
    6
  4. D
    7
Show answer

Answer: D. 3² + (k − 3)² = 25 gives (k − 3)² = 16, so k − 3 = ±4. With k > 3, k = 7 (the other value, −1, is ruled out).

2. Taking π = 22/7, what is the circumference of a circle of radius 7 cm?

  1. A
    44 cm
  2. B
    88 cm
  3. C
    154 cm
  4. D
    308 cm
Show answer

Answer: A. C = 2πr = 2 × 22/7 × 7 = 44 cm. Using the diameter in 2πr gives 88 cm, and 154 is the area in cm².

3. A cube has volume 216 cm³. What is its total surface area?

  1. A
    216 cm²
  2. B
    180 cm²
  3. C
    144 cm²
  4. D
    36 cm²
Show answer

Answer: A. Side = ∛216 = 6 cm, so surface area = 6 × 6² = 216 cm². 180 cm² counts only 5 faces (an open box) and 144 cm² only 4.

4. What is the arc length of a sector of radius 9 cm with angle 80°? Give your answer in terms of π.

  1. A
    18π cm
  2. B
    9π cm
  3. C
    8π cm
  4. D
    4π cm
Show answer

Answer: D. Arc = (80/360) × 2π × 9 = (2/9) × 18π = 4π cm. 18π cm is the full circumference and 9π cm is half of it.

5. The two shorter sides of a right-angled triangle are 9 cm and 12 cm. How long is the hypotenuse?

  1. A
    15 cm
  2. B
    17 cm
  3. C
    19 cm
  4. D
    21 cm
Show answer

Answer: A. √(9² + 12²) = √(81 + 144) = √225 = 15 cm. Adding the sides (21 cm) ignores Pythagoras.

6. The radius of a cylinder is doubled and its height is halved. What happens to its volume?

  1. A
    It is doubled
  2. B
    It is halved
  3. C
    It stays the same
  4. D
    It becomes 4 times
Show answer

Answer: A. V = πr²h becomes π(2r)²(h/2) = 2πr²h, so the volume doubles. Forgetting to square the 2 suggests "stays the same".

7. A scale model of a bus is made at 1 : 20. A window on the model has an area of 30 cm². What is the area of the real window?

  1. A
    600 cm²
  2. B
    1,200 cm²
  3. C
    6,000 cm²
  4. D
    12,000 cm²
Show answer

Answer: D. Lengths scale by 20, so areas scale by 20² = 400: 30 × 400 = 12,000 cm². Multiplying by 20 only gives 600 cm².

8. The points (1, 2), (3, 8) and (k, 14) lie on one straight line. What is k?

  1. A
    4
  2. B
    5
  3. C
    6
  4. D
    7
Show answer

Answer: B. Gradient from (1, 2) to (3, 8) is 6/2 = 3. From (1, 2) to (k, 14): 12 = 3(k − 1), so k = 5.

9. What is the distance of the point (−5, 12) from the origin?

  1. A
    169
  2. B
    17
  3. C
    13
  4. D
    7
Show answer

Answer: C. √((−5)² + 12²) = √(25 + 144) = √169 = 13. 169 forgets the square root.

10. A rectangle has perimeter 36 cm and length 11 cm. What is its area?

  1. A
    154 cm²
  2. B
    77 cm²
  3. C
    72 cm²
  4. D
    63 cm²
Show answer

Answer: B. Length + width = 36 ÷ 2 = 18, so the width is 7 cm and the area is 11 × 7 = 77 cm². Forgetting to halve (36 − 22 = 14 cm width) gives 154 cm².

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Ways to practise this chapter

Quantitative · Geometry and mensuration: questions students ask

How many Quantitative · Geometry and mensuration MCQs are there?

58, each with the answer and a short explanation, across 3 topics: Lines, angles, triangles and polygons, Circles, area and perimeter, Volume, surface area and coordinates. Every chapter test draws ten of them, so you can take it many times.

Is the NUST NET Quantitative Maths chapter 5 test free?

Yes. The test, the answers and the explanations are free and need no sign-up. Sign in only if you want your scores kept across devices.

How is the chapter test marked?

The moment you press Finish: your score, the right answer and an explanation for every question, and the ones you got wrong saved in My mistakes to retry.

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