Converting: Problem Solving & Reasoning

Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on converting ratios to fractions through problem solving and reasoning tasks, designed for Grade 6 students.

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Full preview • 12 questions

Converting: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet

Grade Grade 6
A

Introduction

Read the key concept carefully before attempting the questions.
1.
Converting a ratio to a fraction involves writing the first term over the second term. Simplify the fraction if possible. For example, the ratio 4:8 converts to 4/8, which simplifies to 1/2.
[2 marks]
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Convert the ratio 6:9 to a simplified fraction.
[2 marks]
2.
Express the ratio 12:20 as a fraction in its simplest form.
[2 marks]
3.
Write the ratio 15:25 as a fraction and simplify it.
[2 marks]
4.
Convert the ratio 3:24 into a fraction and simplify.
[2 marks]
5.
A recipe uses 2 cups of sugar for every 5 cups of flour. Express this ratio as a fraction.
[3 marks]
6.
A class has 18 boys and 12 girls. Write the ratio of boys to girls as a fraction in simplest form.
[3 marks]
7.
Convert the ratio 7:14 into a fraction. Show your working.
[3 marks]
8.
A map scale shows 1 cm : 5 km. Express this as a fraction representing the ratio of 1 cm to 5 km.
[3 marks]
9.
A school bus carries 48 students and 6 teachers. Write the ratio of students to teachers as a simplified fraction.
[3 marks]
10.
Challenge: Two ratios are 9:12 and 15:20. Convert both to simplified fractions and determine if they are equivalent.
[4 marks]
11.
Identify and correct the mistake: The ratio 10:15 was written as 10/15 and simplified to 2/3. Is this correct? Explain.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet