Geometry Mensuration and Data (Class 6)

What this worksheet covers

This is an eighteen-question practice worksheet on geometry, mensuration and data handling for Class 6, 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 geometry, mensuration and data handling at Class 6 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 Geometry Mensuration and Data (Class 6) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. How many line segments can be drawn through two distinct points?

   • AOnecorrect
   • BTwo
   • CInfinitely many
   • DNone
   Solution: Exactly one line segment joins two given points. (Infinitely many lines pass through a single point, but two points fix the segment completely.)

2. 2. Two angles of a triangle measure 48° and 72°. What kind of triangle is it?

   • ARight-angled
   • BObtuse-angled
   • CEquilateral
   • DAcute-angledcorrect
   Solution: Third angle = 180° − (48° + 72°) = 60°.
   The three angles are 48°, 72° and 60°, all less than 90°, so it is an acute-angled triangle.

3. 3. Consider the following statements.(i) A triangle can have at most one right angle.(ii) Two rectangles with equal areas must have equal perimeters.(iii) The mean of a set of numbers can equal one of the numbers in the set.Which of the statements is/are correct?

   • A(i) and (ii) only
   • B(i) and (iii) onlycorrect
   • C(ii) and (iii) only
   • DAll three
   Solution: Statement (i) is true — two right angles would already use 180°. Statement (ii) is false; a 2 × 18 rectangle and a 6 × 6 square both have area 36 but perimeters of 40 and 24. Statement (iii) is true; the mean of 4, 6 and 8 is 6, which is in the set. Hence (i) and (iii).