Fractions and Decimals (Class 6)

What this worksheet covers

This is an eighteen-question practice worksheet on fractions and decimals 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 fractions and decimals 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 Fractions and Decimals (Class 6) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. {18/24} in its simplest form is _______.

   • A{3/4}correct
   • B{9/12}
   • C{2/3}
   • D{6/8}
   Solution: The HCF of 18 and 24 is 6.
   {18/24} = {3/4} after dividing both by 6. Options (B) and (D) are equal in value but are not in simplest form.

2. 2. A jug holds 3{1/2} litres of juice. It is poured equally into glasses of {1/4} litre each. How many glasses are filled?

   • A7
   • B10
   • C14correct
   • D16
   Solution: 3{1/2} = {7/2} litres.
   Number of glasses = {7/2} ÷ {1/4} = {7/2} × {4/1} = {28/2} = 14 glasses.

3. 3. Consider the following statements.(i) Every improper fraction is greater than 1.(ii) Multiplying a number by a fraction greater than 1 gives a larger number.(iii) 0.1 is greater than 0.09.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 — an improper fraction such as {5/5} equals exactly 1, so 'greater than 1' is not always right. Statement (ii) is true. Statement (iii) is true; comparing tenths, 1 is more than 0. Hence (ii) and (iii).