Converting First: Real-world Applications
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on converting first when simplifying ratios in real-world business and finance contexts for Year 9 students.
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Converting First: Real-world Applications
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working clearly in the grid spaces provided.
1.
Convert 150 grams to kilograms and then simplify the ratio of 150 grams to 50 grams.
[2 marks]2.
A car travels 300 kilometers in 5 hours. Convert the distance to meters and find the ratio of distance to time in meters per hour.
[3 marks]3.
Express the ratio of 250 milliliters to 2.5 liters in simplest form after converting units.
[2 marks]4.
Convert 45 minutes into hours and write the ratio of minutes to hours in simplest form.
[2 marks]B
Problem Solving & Reasoning
Answer the following multi-step questions showing all working steps.
1.
A business converts 120 ounces of a liquid into gallons. After conversion, the ratio of gallons to ounces is simplified. What is this ratio?
[3 marks]2.
A recipe calls for 250 grams of sugar. Convert this to kilograms and express the ratio of sugar to total weight if the total weight is 1.5 kg.
[3 marks]3.
A company's profit is $15,000. Convert this to thousands of dollars and write the ratio of profit to total sales of $150,000 in simplest form.
[3 marks]C
Real-world Applications
Solve these context-based problems involving converting units first.
1.
A manufacturer produces 2,000 grams of chocolate per day. Convert this to kilograms and write the ratio of chocolate produced to daily sales of 50 units, assuming each unit weighs 50 grams.
[4 marks]2.
A cyclist travels 180 kilometers in 3 hours. Convert the distance to meters and find the ratio of meters to hours.
[3 marks]3.
A stock investment has increased by $4,500 over a year. Convert this to thousands of dollars and write the ratio of profit to initial investment of $15,000 in simplest form.
[3 marks]D
Challenge & Extension
Attempt these more advanced problems involving converting units first.
1.
Convert 5 miles to meters (1 mile = 1609 meters). Write the ratio of meters to miles in simplest form.
[3 marks]2.
A company reports earnings of $75,000 in 6 months. Convert this to monthly earnings and express the ratio of earnings to months.
[3 marks]E
Mixed Review
Solve these questions that combine different types of conversion and ratio calculations.
1.
A bottle contains 750 milliliters of juice. Convert this to liters and write the ratio of juice to the bottle in simplest form.
[2 marks]2.
A runner completes 42 kilometers in 2 hours. Convert the distance to meters and write the ratio of meters to hours.
[3 marks]F
Error Analysis
Review the common mistake and correct the error in the following question.
1.
A student converts 200 grams to kilograms as 0.2 kg, then writes the ratio 200:1000 as 2:10, simplifying incorrectly. Identify and correct the mistake.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet