More Complex: Challenge & Extension
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Year 9 students with complex sharing in ratios involving three or more parts, including real-world and extension problems.
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More Complex: Challenge & Extension
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A recipe requires ingredients in the ratio 3:2:5. If 30 grams of the first ingredient are used, find the amounts of the other two ingredients.
[3 marks]2.
In a group of students, the ratio of boys to girls is 4:5. If there are 36 boys, how many girls are there?
[2 marks]3.
A bag contains red, blue, and green balls in the ratio 7:3:5. If there are 70 red balls, how many green balls are there?
[3 marks]4.
Construct a triangle on the grid such that the sides are in the ratio 2:3:4. Use a scale of 1 unit per grid square.
[4 marks]5.
A map shows two towns, A and B, separated by 150 km. The ratio of the distances along a straight road to a scenic route is 3:2. Find the length of each route.
[3 marks]6.
A class is divided into groups with ratios 2:3:4. If the smallest group has 8 students, how many students are in the entire class?
[3 marks]7.
A factory produces two types of products, A and B, in the ratio 5:7. If 240 units of product A are produced, how many units of product B are produced?
[3 marks]8.
Solve for x: The ratio of x to 12 is 3:4.
[2 marks]9.
A person distributes $150 in the ratio 2:3:5 among three charities. How much does each charity receive?
[4 marks]10.
Identify and correct the mistake: 'If a and b are in ratio 3:4, then a + b is in ratio 3:4.'
[3 marks]11.
A mixture contains sugar and flour in the ratio 2:3. If 150 grams of the mixture contains 60 grams of sugar, find the total weight of the mixture.
[3 marks]12.
A car travels a distance of 180 km. The ratio of its speed in city to highway is 3:4. If the time taken on the highway is 1 hour less than in the city, find the speed in each condition.
[4 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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet