Converting: Mixed Review
Mathematics
Grade 7
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet providing a comprehensive review of converting ratios to fractions with varied question types suitable for Grade 7 students.
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Full preview • 16 questions
Converting: Mixed Review
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert the ratio 3:4 into a simplified fraction.
[2 marks]2.
Express the ratio 5:8 as a fraction in its lowest terms.
[2 marks]3.
Convert the ratio 12:18 into a simplified fraction.
[2 marks]B
Targeted Practice
Answer all questions. Show your working clearly.
1.
A recipe calls for a ratio of 7:3 sugar to flour. Convert this ratio into a fraction representing the sugar portion.
[3 marks]2.
The ratio of boys to girls in a class is 4:5. Write this ratio as a fraction representing the boys.
[3 marks]3.
Express the ratio 9:2 as a fraction in its simplest form.
[2 marks]4.
Convert the ratio 15:20 to a fraction and simplify.
[2 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems. Show all working.
1.
A map shows a scale of 1:50,000. If a river is 3 km long on the map, what is its actual length? Convert your answer from km to meters.
[4 marks]2.
A car travels at a ratio of 3:2 hours to distance. If it covers 180 km, what is the ratio of hours to kilometers? Express as a simplified fraction.
[4 marks]D
Real-world Applications
Answer the following word problems using your converting skills.
1.
A school has a student ratio of 2:3 boys to girls. If there are 120 students in total, how many are boys? Express the ratio as a fraction and find the number of boys.
[5 marks]2.
In a garden, the ratio of roses to tulips is 5:7. If there are 60 tulips, how many roses are there? Convert the ratio to a fraction and solve.
[5 marks]E
Challenge & Extension
Attempt these more difficult problems for extension.
1.
The ratio of students to teachers in a school is 45:5. Write this ratio as a fraction representing students per teacher, and simplify.
[3 marks]2.
A mixture contains a ratio of 3:2 parts of two substances. If the total mixture weighs 50 kg, how much of each substance is there? Express your answer in kg.
[4 marks]F
Mixed Review
Answer a variety of questions to review your understanding of converting ratios to fractions.
1.
Convert the ratio 14:35 into a simplified fraction.
[2 marks]2.
Express the ratio 16:24 as a fraction in simplest form.
[2 marks]3.
Identify the mistake: Convert the ratio 8:12 into a fraction and write it as 4/3.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet