Real-world Situations: Challenge & Extension
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on writing algebraic expressions from real-world contexts for GCSE Higher students. It develops procedural skills, reasoning, and problem-solving in practical scenarios.
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Real-world Situations: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A fruit seller buys apples at £2 per kilogram and sells them at a profit of £0.50 per kilogram. Write an expression for the selling price of x kilograms of apples.
[2 marks]2.
Calculate the total cost to buy 15 kilograms of bananas if the price per kilogram is £1.80.
[2 marks]3.
A taxi fare consists of a fixed charge of £3 plus £0.80 per mile. Write an expression for the total fare for x miles.
[2 marks]4.
Plot the graph of y=2x on the provided grid.
[2 marks]5.
Construct a triangle on the grid with sides of lengths 3cm, 4cm, and 5cm. Write an algebraic expression representing the perimeter in terms of variables a, b, c where a, b, c are the sides.
[3 marks]6.
A shop sells a shirt for £25. If a discount of 10% is applied, write an expression for the sale price.
[2 marks]7.
A car's fuel consumption is 6 liters per 100 km. Write an expression for the amount of fuel used (F) after traveling x kilometers.
[2 marks]8.
A rectangle has a length of (x + 4) meters and width (2x - 1) meters. Write an expression for its area.
[2 marks]9.
A concert ticket costs £15 to buy, plus a booking fee of £2 per ticket. Write an expression for the total cost of x tickets.
[2 marks]10.
A gym charges a fixed fee of £5 plus £0.50 per session. Write an expression for the total cost after x sessions.
[2 marks]11.
A factory produces x units of a product. The profit for each unit is £4. Write an expression for the total profit.
[2 marks]12.
Identify the common mistake in simplifying the expression 3(2x + 4) and correct it.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet