Unit Price Comparison: Real-world Applications
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on Unit Price Comparison through real-world contexts, designed for GCSE Higher students to develop procedural skills and reasoning.
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Unit Price Comparison: Real-world Applications
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read the key concept below before attempting the questions.
1.
To compare prices efficiently, find the cost per unit by dividing the total price by the number of units. Use the formula: Unit Price = Total Price ÷ Number of Units.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A pack of 24 pens costs £4.80. Calculate the unit price per pen.
[2 marks]2.
A bottle contains 1.5 litres and costs £1.35. Find the cost per litre.
[2 marks]3.
A box of 15 chocolates costs £3.75. What is the price per chocolate?
[2 marks]C
Targeted Practice
Answer all questions showing your working where necessary.
1.
A 6-pack of bottled water costs £2.40, and a 12-pack costs £4.80. Which is more economical per bottle? Show your calculations.
[3 marks]2.
A supermarket sells 500g of rice for £1.75, and 1kg costs £3.20. Which offers better value per gram? Show your working.
[3 marks]3.
A 250ml can of juice costs £0.85. Calculate the price per litre.
[2 marks]4.
A pack of 10 batteries costs £5.50, while a pack of 20 batteries costs £10.20. Which pack is more cost-effective per battery? Show your working.
[3 marks]5.
In a sale, a 3kg bag of potatoes costs £3.60, and a 5kg bag costs £5.25. Which offers the better price per kilogram? Show your calculations.
[3 marks]D
Real-world Applications
Read the problem carefully and answer in context.
1.
A supermarket sells 750g of pasta for £1.50. A different brand offers 1kg for £2.00. Which pasta is better value per gram? Show your calculations.
[4 marks]2.
A customer is choosing between two offers: a 2-litre bottle of juice for £2.40 or a smaller 1-litre bottle for £1.30. Which is more economical per litre? Show your working.
[4 marks]E
Challenge & Extension
Attempt these higher-difficulty questions for extension.
1.
A shop sells 1kg of apples for £1.80 and 2.5kg for £4.00. Which offers better value per kilogram? Show your calculations.
[4 marks]2.
A store offers two types of detergent: 1.5L for £3.60 and 3L for £6.75. Which is more economical per litre? Show your workings.
[4 marks]F
Mixed Review & Error Analysis
Answer the following questions, then review common mistakes below.
1.
A 500g pack of butter costs £2.50, and a 250g pack costs £1.40. Which is more cost-effective per gram? Show your calculations.
[3 marks]2.
Common mistake: Students often divide total price by total weight without converting units. Identify and correct this mistake in comparing prices of 750g and 1kg pasta.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet