More Complex: Mixed Review on Sharing in Ratio (3+ parts)
Mathematics
Year 9
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A mixed review worksheet focusing on complex sharing in ratios involving three or more parts, with a variety of question types to challenge Year 9 students' understanding.
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More Complex: Mixed Review on Sharing in Ratio (3+ parts)
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer the following questions to practice procedural skills. Show your working in the grid spaces provided.
1.
A quantity of 180 units is shared in the ratio 2:3:4. Calculate the amount received by each part.
[4 marks]2.
A recipe requires 3 parts flour to 5 parts sugar. If 150 grams of sugar are used, how much flour is needed?
[3 marks]3.
Divide 240 into three parts that are in the ratio 5:7:8. What is each part?
[3 marks]B
Problem Solving & Reasoning
Solve these multi-step problems. Show all your working clearly.
1.
A total of $1200 is to be shared among three friends in the ratio 4:5:6. After the initial share, Jane receives an extra $60. What is the total amount Jane and her friends each receive?
[5 marks]2.
A factory produces 1200 units with parts divided in a ratio 3:4:5. If the largest part produces 600 units, find the total units produced and the units in each part.
[4 marks]3.
A school allocates funds in the ratio 7:5:3 for resources among three departments. If the total budget is $15,000, how much does each department receive?
[4 marks]C
Real-world Applications
Apply your understanding to real-world contexts. Show your calculations.
1.
A car's fuel efficiency is in the ratio 4:5:6 for city, highway, and combined driving. If the car uses 48 liters on the highway, what is the total fuel consumption in all three conditions?
[4 marks]2.
A sports team distributes prize money in the ratio 2:3:5 among three players. If the largest share is $500, what is the total prize money awarded?
[3 marks]D
Challenge & Extension
Attempt these advanced problems to extend your understanding.
1.
A mixture contains ingredients A, B, and C in the ratio 3:4:5. If 720 grams of mixture is prepared, how much of each ingredient is used? Then, if ingredient B is increased by 20%, what is the new ratio?
[6 marks]2.
Construct a drawing on the grid showing a triangle with side lengths in ratio 5:7:9. Use the ratio to determine actual lengths if the shortest side is 5 cm. Label the sides.
[5 marks]E
Mixed Review
Answer a variety of questions to review complex sharing concepts.
1.
A total of 540 units are divided among four parts in the ratio 1:2:3:4. What amount does each part receive?
[4 marks]2.
A company's profit is shared among three departments in the ratio 5:7:8. If the profit for the second department is $70,000, what is the total profit?
[4 marks]3.
Identify and correct the mistake in sharing a total of $900 in the ratio 2:3:4, where one person receives $200.
[4 marks]F
Error Analysis
Review the following common mistake and identify or correct it.
1.
A student divided 150 into three parts in the ratio 1:2:3 and gets 30, 50, and 70 respectively. Identify the mistake and provide the correct division.
[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)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet