Perimeter Area Volume and Data (Class 5)

What this worksheet covers

This is an eighteen-question practice worksheet on perimeter, area, volume and data handling for Class 5, written to the pattern of the SOF International Mathematics Olympiad (IMO). It carries 24 marks and is designed to be attempted in 45 minutes, split across three sections — Mathematical Reasoning, Everyday Mathematics and Reasoning and Achievers Section. Every question is multiple choice with exactly one correct option, and every one comes with a fully worked solution rather than just an answer key — so a child who gets one wrong can see where the reasoning went astray instead of only learning that it did.

Skills your child practises

• Applied problem-solving on perimeter, area, volume and data handling at Class 5 level
• Working accurately against a time limit, as the real paper demands
• Mathematical Reasoning questions in the olympiad format
• Everyday Mathematics and Reasoning questions in the olympiad format
• Achievers Section questions in the olympiad format
• Reading worked solutions to find the step that went wrong

How to use it

1. 1There are 18 questions in this worksheet. All questions are compulsory.
2. 2Each question has four options (A), (B), (C) and (D). Exactly one option is correct.
3. 3Questions 1–15 carry 1 mark each. Questions 16–18 (Achievers Section) carry 3 marks each.
4. 4There is no negative marking. Use of a calculator is not allowed.
5. 5Read every graph carefully. Figures are not drawn to scale.

Sample questions from this worksheet

A preview of what's inside Perimeter Area Volume and Data (Class 5) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. The perimeter of a rectangle of length 18 m and breadth 12 m is _______.

   • A60 mcorrect
   • B30 m
   • C108 m
   • D216 m
   Solution: Perimeter = 2 × (length + breadth)
   = 2 × (18 + 12) = 2 × 30 = 60 m.

2. 2. A rectangular hall is 15 m long and 9 m wide. What is the cost of carpeting it at ₹120 per square metre?

   • A₹5,760
   • B₹1,620
   • C₹16,200correct
   • D₹18,000
   Solution: Area = 15 × 9 = 135 m².
   Cost = 135 × 120 = ₹16,200.

3. 3. Consider the following statements.(i) Two rectangles with the same perimeter must have the same area.(ii) If the side of a cube is doubled, its volume becomes 8 times as large.(iii) The average of a set of numbers always lies between the smallest and the largest of them.Which of the statements is/are correct?

   • A(i) and (ii) only
   • B(ii) and (iii) onlycorrect
   • C(i) and (iii) only
   • DAll three
   Solution: Statement (i) is false — a 1 × 7 rectangle and a 4 × 4 square both have a perimeter of 16, yet their areas are 7 and 16. Statement (ii) is true; volume = side³, so doubling the side multiplies the volume by 2³ = 8. Statement (iii) is true. Hence (ii) and (iii).