Proportional Scaling Practice Test Worksheets
Proportional scaling questions test whether you can read a table for one fraction of a whole, then scale the correct ingredient, nutrient, liquid, or material up to the amount used.
For students who understand fractions, but need focused practice applying them to real-world tables and units.
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The Rules Every Proportional Scaling Question Uses
Each question gives values for one equal fraction of a whole. The core skill is selecting the target row, then multiplying by the numerator in the fraction being used.
📊 Rule 1: Read the table header first
The header tells you what one table amount represents, such as per 1/4 litre or per 1/10 tray.
Example: If the table says per 1/4 litre, each row value is for one quarter.
🎯 Rule 2: Use only the target row
Tables include several components, but the question asks for one specific ingredient, nutrient, liquid, or material.
Example: For acrylic medium, ignore pigment, binder, and water rows.
✖️ Rule 3: Multiply by the numerator
If the table gives the value for 1/D and the person uses N/D, multiply the table value by N.
Example: 3/4 of a mix means 3 lots of the 1/4 table value.
✅ Rule 4: Keep the units attached
The final answer must use the same unit as the target row, such as g, mg, ml, or L.
Example: 7 x 1.4 L = 9.8 L, not just 9.8.
How to Solve Proportional Scaling Questions
One straightforward table read, one larger multiplier, and one classic unit trap to avoid.
Easy
Question: A paint table says that per 1/4 litre, acrylic medium is 6.9 ml. Clara uses 3/4 of the paint mix. How much acrylic medium does she use?
Step 1: The table value is for 1/4 litre: 6.9 ml of acrylic medium.
Step 2: Clara uses 3/4, so she uses 3 lots of the 1/4 amount.
Step 3: 3 x 6.9 = 20.7.
Tip: The denominator is already handled by the table header. Multiply by the numerator only.
Medium
Question: A vehicle service kit table says that per 1/8 kit, coolant is 1.4 L. Leo uses 7/8 of the liquids in the kit. What volume of coolant does he use?
Step 1: The target row is coolant, so use 1.4 L.
Step 2: 7/8 means 7 equal 1/8 parts.
Step 3: 7 x 1.4 = 9.8.
Tip: Larger fractions do not change the method. Find the one-part value, then scale it.
Classic Trap
Question: A carton of juice table says that per 1/3 carton, Vitamin C is 28.4 mg. Camila consumes 2/3 of the carton. Calculate the mass of Vitamin C consumed.
Step 1: The target row is Vitamin C, so use 28.4 mg.
Step 2: Camila consumes 2/3, which is 2 lots of the 1/3 amount.
Step 3: 2 x 28.4 = 56.8 mg.
Tip: Do not switch units. Vitamin C is measured in mg here, even though other rows may use g.
Before You Buy
Want to check the level and layout first? Download the free 3-question sample. It uses the same question style, printable format, and answer-key approach as the full pack.
Download Free Sample PDFGet the Full Practice Pack
The full Proportional Scaling pack contains 90 questions across 3 printable test sets. Students practise fraction scaling in recipe, nutrition, paint mixing, vehicle liquid, and garden material contexts.
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