Quantitative Aptitude SSC CPO, SSC quantitative aptitude Free access now

Mensuration for SSC CPO | Concepts & Practice | SSC CPO Quantitative Aptitude

Build Mensuration accuracy for SSC CPO with concept clarity, key relations, exam-speed methods and approved practice.

Tailored for SSC CPO Quantitative Aptitude. 11 active practice questions. Related topics: Percentage, Profit and Loss, Simple Interest.

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Why students use this page

Learn the shortcut first, then solve with less confusion

This page is built to show the shortcut, the trap, and the faster solving route before you start clicking through questions.

Learn the shortcut

Understand the fastest pattern for this topic before you attempt full MCQs.

Avoid common traps

See where students commonly lose marks so you can eliminate bad options earlier.

Solve faster in exam

Apply one practical method before attempting MCQs and cut down hesitation.

Quick Summary Free

Mensuration at a glance

Mensuration revision for SSC CPO: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Concept

Core idea

Mensuration deals with perimeter, area, surface area and volume. The main exam risk is using the correct formula with the wrong dimension or unit, so identify the figure and required measurement first.

SSC CPO focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Short Notes

Fast revision notes

Mensuration revision rule: concept → formula/relation → one worked example → timed practice → error review.

Revision

Last-minute points

  • Core concept
  • Key formula/relation
  • Common trap
  • Approved practice
Formula Box Free

Formula / key facts

  • Rectangle area = l×b
  • Triangle area = ½×b×h
  • Circle area = πr²
  • Cuboid volume = lbh
  • Cylinder volume = πr²h
Shortcut Zone Free

Tricks / shortcuts

Keep linear, square and cubic units separate. Convert dimensions to the same unit before inserting them into a formula.

Memory Trick

Remember faster

Keep linear, square and cubic units separate. Convert dimensions to the same unit before inserting them into a formula.

Next Step

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Exam Tips

How to score with this topic

  • Read the exact requirement before choosing a shortcut.
  • Keep units, signs and percentage bases consistent.
  • Use the final few seconds to verify direction and magnitude.
Mistakes

Common traps to avoid

  • Using a memorised shortcut without checking its condition.
  • Skipping unit or base conversion.
  • Doing long arithmetic before identifying the underlying relation.
Solved Example

Step-by-step example

Practice example: A circular track lies between concentric circles of radii 21 m and 14 m. Find its area. Use π=22/7.

Solution: The area of the track is 770 m².

Practice Preview

Before you solve

  1. Find the total surface area of a cuboid with dimensions 12 cm, 8 cm and 5 cm.
  2. Find the area of a rhombus whose diagonals are 24 cm and 18 cm.
  3. Find the curved surface area of a cone with radius 7 cm and slant height 10 cm. Use π=22/7.
Learn the shortcut first

Shortcut before you solve

Geometry gets faster when you first fix the shape and the exact quantity being asked.

Featured shortcut

Identify the shape first, then apply the direct formula without mixing area and perimeter.

Exam-use rule

Use the formula that matches both the shape and the quantity asked.

Use this in 3 seconds

Underline whether the question asks for area, perimeter, volume, or surface area.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

Use the same rule instead of re-solving from scratch.

Step 3 Eliminate wrong options

Remove confusing choices before comparing the last few.

Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

Start with the first 10 questions free, then unlock the rest with premium

Now apply the trick on real questions

Use the shortcut above before solving these questions

Identify the shape first, then apply the direct formula without mixing area and perimeter.

Tip: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Real exam shortcut before you solve

Find the area of a rectangle with length 8 cm and breadth 5 cm.

Step 1

Area of rectangle = length x breadth.

Step 2

8 x 5 = 40 sq cm.

Rule

Use the formula that matches both the shape and the quantity asked.

3-second trick

Underline whether the question asks for area, perimeter, volume, or surface area.

Trap to avoid

Using the perimeter formula when the question asks for area.

Correct answer

40 sq cm

Worked example

Find the area of a rectangle with length 8 cm and breadth 5 cm.

Thinking path
  • Shape is a rectangle.
  • The question asks for area, not perimeter.
  • So multiply length and breadth.

Final answer: 40 sq cm

Why this is fast: The right formula ends the question immediately.

Free now: first 10 questions Premium later: full solutions, advanced tricks, targeted practice
Q1 Medium

Find the perimeter of a semicircle of radius 7 cm, including the diameter. Use π=22/7.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The perimeter is 36 cm.
Q2 Medium

Find the area of a quadrant of radius 14 cm using π=22/7.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The area of the quadrant is 154 cm².
Q3 Medium

A cube has total surface area 600 cm². Find the length of one edge.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The edge length is 10 cm.
Q4 Easy

Find the area of a kite whose diagonals are 26 cm and 18 cm.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The area is 234 cm².
Q5 Easy

Find the curved surface area of a cone with radius 7 cm and slant height 10 cm. Use π=22/7.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The curved surface area is 220 cm².
Q6 Easy

Find the area of a rhombus whose diagonals are 24 cm and 18 cm.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The area is 216 cm².
Q7 Medium

Find the total surface area of a cuboid with dimensions 12 cm, 8 cm and 5 cm.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The total surface area is 392 cm².
Q8 Medium

A circular track lies between concentric circles of radii 21 m and 14 m. Find its area. Use π=22/7.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The area of the track is 770 m².
Q9 Medium

Find the area of a 90° sector of a circle with radius 14 cm. Use π=22/7.

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: The area is 154 cm².
Q10 Easy

In a Mensuration practice set, a student answers 18 questions correctly out of 24. What percentage is correct?

Concept type: Area and perimeter formula use Shortcut used: Identify the shape first, then apply the direct formula without mixing area and perimeter. Quick hint: Rectangle area = l x b, perimeter = 2(l + b). Circle area uses pi r^2 and circumference uses 2 pi r.
Quick idea: Correct percentage = 18/24 x 100 = 75%.
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FAQ

Frequently asked questions

How should I revise Mensuration for SSC CPO?

Revise the core relation, solve one worked example, then attempt a short timed practice set.

Are these official PYQs?

No. Practice questions are labelled from ExamPrepWay's approved original/practice bank unless a verified official source is explicitly shown.