Converting: Challenge & Extension
Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge students to convert ratios to fractions through various exercises, including procedural questions, real-world problems, and extension tasks.
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Full preview • 14 questions
Converting: Challenge & Extension
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 fraction in simplest form.
[2 marks]2.
Express the ratio 10:25 as a fraction in lowest terms.
[2 marks]3.
Convert the ratio 7:14 into a fraction.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces.
1.
A recipe calls for a ratio of 5:8 of sugar to flour. Convert this ratio into a fraction representing the proportion of sugar in the mixture.
[3 marks]2.
A map uses a scale ratio of 1:2500. If a distance on the map is 3 cm, what is the actual distance in meters? Express your answer as a fraction.
[3 marks]3.
A student scores 18 out of 24 on a test. Convert this ratio to a simplified fraction and then to a percentage.
[3 marks]C
Real-world Applications
Answer all questions. Show your reasoning in the grid spaces.
1.
A car travels 180 km using 15 liters of fuel. Convert the ratio of distance to fuel into a fraction representing kilometers per liter.
[3 marks]2.
In a class, the ratio of boys to girls is 7:9. What fraction of the class are boys?
[3 marks]3.
A store sells apples and oranges in a ratio of 3:5. If there are 40 oranges, how many apples are there? Express your answer as a fraction of total fruit.
[3 marks]D
Challenge & Extension
Attempt these more difficult questions. Show your detailed working.
1.
A mixture contains a ratio of 7:3 of two liquids. Convert this ratio into a fraction representing the percentage of the first liquid in the mixture.
[3 marks]2.
A map's scale ratio is 1:50,000. If a country’s length measures 12 km on the map, what is the actual length in kilometers? Express as a simplified fraction.
[3 marks]3.
A sports team has a ratio of 4:7 of experienced to inexperienced players. If 20 players are experienced, what is the total team size? Express as a fraction of the total team.
[3 marks]E
Mixed Review & Error Analysis
Answer all questions. For each, identify and correct any errors in the student's conversion.
1.
A student converts the ratio 6:9 into 6/9 and states it is in simplest form. Identify and correct the mistake.
[2 marks]2.
A ratio 15:20 is converted to 3/4. Is this correct? If not, correct it.
[2 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