Integers (Class 6)

What this worksheet covers

This is an eighteen-question practice worksheet on integers 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 integers 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. 5Rough work may be done in the space at the side of each page.

Sample questions from this worksheet

A preview of what's inside Integers (Class 6) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. Which of these integers is the smallest?

   • A0
   • B−8
   • C−15correct
   • D6
   Solution: On the number line, the further left a number lies the smaller it is. Among −15, −8, 0 and 6, the leftmost is −15. With negative numbers, the larger the digit the smaller the value.

2. 2. The temperature at 6 a.m. was −4 °C. By noon it had risen by 11 °C. What was the temperature at noon?

   • A7 °Ccorrect
   • B−7 °C
   • C−15 °C
   • D15 °C
   Solution: A rise means we add.
   −4 + 11 = 7 °C.

3. 3. Consider the following statements.(i) The sum of two negative integers is always negative.(ii) Zero is neither positive nor negative.(iii) The product of a positive and a negative integer is always positive.Which of the statements is/are correct?

   • A(i) and (ii) onlycorrect
   • B(ii) and (iii) only
   • C(i) and (iii) only
   • DAll three
   Solution: Statement (i) is true — adding two numbers to the left of zero moves further left. Statement (ii) is true. Statement (iii) is false; a positive times a negative is always negative, as in 3 × (−4) = −12. Hence (i) and (ii).