# Mensuration Questions with Answers: Download PDF

> Fifteen mensuration questions with answers covering areas, volumes and surface areas, each worked in consistent units. Free PDF download, no sign-up needed.

Source: https://computeprep.com/questions/mensuration

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## Mensuration questions with answers

Mensuration questions reward two things: knowing which formula applies and keeping the units straight. The set below covers plane areas, solid volumes and surface areas, and every walkthrough names the formula it used before substituting, so the page is usable as a revision sheet as well as a practice set.

[Download the PDF — 15 questions with answers](https://computeprep.com/questions/mensuration.pdf)

Free, ungated, no email. This is the mensuration questions with answers PDF — the same 15 questions as below, with every worked solution at the back, ready to print.

### How to use this set

The 15 questions below are ordered the way an exam block is rather than easiest-first: two gentle openers, then a run of medium, and a hard one every sixth question — 2 of the 15 sit in the hard band. Every question is a mensuration.

Work each question on paper before you open its solution. The walkthrough is the method itself, step for step, so reading it first turns a practice set into a reading exercise and teaches nothing. If you are stuck on the method rather than on one question, the method guide is a better place to start than the next question: [Mensuration: the formulas that recur](https://computeprep.com/drill-types/mensuration).

### 15 mensuration questions with answers

Every question below was generated by the same engine that mints the ComputePrep daily timed drill, and machine-checked before it reached this page — a multiple-choice question validates its own answer against its own options at generation, and ships only with a walkthrough attached. The walkthrough is the engine's own.

#### Question 1

What is its area?

A square plot has a side of 4 m.

- 28
- 31
- 36
- 8
- 16
- Area = side² = 4 × 4 = 16 m².
- Answer: 16 m².

#### Question 2

What is its area?

A rectangular field is 30 m long and 11 m wide.

- 82
- 333
- 342
- 330
- 660
- Area = length × breadth = 30 × 11 = 330 m².
- Answer: 330 m².

#### Question 3

What is its perimeter?

A square plot has a side of 18 m.

- 22
- 72
- 18
- 36
- 324
- Perimeter = 4 × side = 4 × 18 = 72 m — perimeter is a length, area is a square.
- Answer: 72 m.

#### Question 4

What is its area?

A rectangular field is 23 m long and 4 m wide.

- 42
- 184
- 93
- 54
- 92
- Area = length × breadth = 23 × 4 = 92 m².
- Answer: 92 m².

#### Question 5

What is its area?

A square plot has a side of 23 m.

- 92
- 529
- 535
- 542
- 549
- Area = side² = 23 × 23 = 529 m².
- Answer: 529 m².

#### Question 6

What is its area?

A square plot has a side of 30 m.

- 898
- 900
- 887
- 120
- 60
- Area = side² = 30 × 30 = 900 m².
- Answer: 900 m².

#### Question 7

What is its area?

A square plot has a side of 5 m.

- 36
- 20
- 75
- 28
- 25
- Area = side² = 5 × 5 = 25 m².
- Answer: 25 m².

#### Question 8

What is its area?

A rectangular field is 22 m long and 17 m wide.

- 187
- 78
- 39
- 748
- 374
- Area = length × breadth = 22 × 17 = 374 m².
- Answer: 374 m².

#### Question 9

What is its circumference?

A circular park has a radius of 21 m. (Take π = 22/7.)

- 143
- 66
- 132
- 182
- 1386
- Circumference = 2πr = 2 × (22/7) × 21 = 132 m — circumference uses r, area uses r².
- Answer: 132 m.

#### Question 10

What is its perimeter?

A square plot has a side of 21 m.

- 21
- 441
- 42
- 84
- 63
- Perimeter = 4 × side = 4 × 21 = 84 m — perimeter is a length, area is a square.
- Answer: 84 m.

#### Question 11

What is its area?

A square plot has a side of 23 m.

- 540
- 529
- 533
- 92
- 539
- Area = side² = 23 × 23 = 529 m².
- Answer: 529 m².

#### Question 12

What is its volume?

A tank measures 33 m × 27 m × 15 m.

- 75
- 3582
- 891
- 13375
- 13365
- Volume = length × breadth × height = 33 × 27 × 15 = 13365 m³.
- Answer: 13365 m³.

#### Question 13

What is its area?

A rectangular field is 22 m long and 9 m wide.

- 62
- 396
- 198
- 218
- 201
- Area = length × breadth = 22 × 9 = 198 m².
- Answer: 198 m².

#### Question 14

What is its perimeter?

A square plot has a side of 22 m.

- 58
- 94
- 88
- 99
- 484
- Perimeter = 4 × side = 4 × 22 = 88 m — perimeter is a length, area is a square.
- Answer: 88 m.

#### Question 15

What is its area?

A square plot has a side of 21 m.

- 461
- 434
- 84
- 42
- 441
- Area = side² = 21 × 21 = 441 m².
- Answer: 441 m².

### Where these questions come from

Most free practice for this topic is a scanned upload or a blog quiz, and neither can tell you a question has exactly one answer. That is the one thing this set can promise: it is minted, not typed. The engine behind it serves ComputePrep's daily timed drill, so the questions here are the same shape as the ones a live round would give you — and there is an unlimited supply of them, which is why this page can be regenerated rather than padded.

If you want the method rather than more questions, [Mensuration: the formulas that recur](https://computeprep.com/drill-types/mensuration) covers the approach, the traps and a worked table. This page and that one deliberately answer different questions: that one is *how do I solve these*, this one is *give me mensuration questions with the answers*.

### FAQ

#### Which mensuration formulas actually recur in bank exams?

Areas of rectangle, triangle, circle and trapezium; volumes and surface areas of cuboid, cylinder, cone and sphere. That is roughly a dozen formulas, and they cover almost every mensuration question these papers set. The remainder are usually solvable from those by decomposition.

#### What happens to volume when a dimension changes?

It scales by the multiplier for each dimension it touches. Doubling a sphere's radius multiplies volume by eight; doubling a cylinder's radius alone multiplies it by four. Reading which dimensions a change touches answers most of these without computing any volume at all.

#### How do I avoid unit mistakes here?

Convert everything to one unit before substituting, and check what the answer is asked in. A volume in cubic centimetres against options in litres is the most common trap in this family — a thousand cubic centimetres is one litre, and that factor is what the wrong options are built on.

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