Expand First: Real-world Applications in Cooking & Recipes
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on expanding brackets first, applied within cooking and recipe contexts, to develop procedural and problem-solving skills for GCSE Higher students.
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Full preview • 15 questions
Expand First: Real-world Applications in Cooking & Recipes
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: 3(a + 4)
[2 marks]2.
Expand and simplify: 2(3b - 5)
[2 marks]3.
Expand: 5(x - 2) + 3(x + 4)
[3 marks]4.
Expand: 4(2y + 3) - y
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces.
1.
A recipe requires you to mix 2(3x + 4) grams of flour and 5(2x - 1) grams of sugar. If x represents the number of servings, express the total amount of ingredients in terms of x and simplify.
[4 marks]2.
A baker is adjusting a cake recipe. The original recipe calls for 3(2a + 5) grams of flour. If they want to make twice the amount, express the new amount of flour needed.
[3 marks]3.
A smoothie recipe uses 4(3x + 2) grams of fruit. If the recipe is doubled, what is the total amount of fruit needed? Simplify your answer.
[3 marks]4.
A chef is preparing a marinade with 5(a + 2). If they add 3 times this amount, what is the final expression? Simplify.
[3 marks]C
Mixed Review
Answer all questions. Show your working clearly.
1.
Expand and simplify: 7(2x - 3) + 2(4x + 5)
[3 marks]2.
Expand: 6(x + 3) - 2(2x - 1)
[2 marks]3.
Express the total weight of ingredients if a recipe uses 3(2a + 3) grams of flour and 4(3a + 2) grams of sugar, and both are combined.
[4 marks]D
Challenge & Extension
Attempt these more difficult questions. Show your complete working.
1.
Expand and simplify: (2x + 3)(x - 4).
[3 marks]2.
A recipe multiplies 2(3a + 4) to make a large batch. If the batch needs 5 times the original ingredients, what is the expanded expression for the total ingredients?
[4 marks]3.
Expand and factorise the expression: 3(2x + 5) + 4(3x - 2).
[4 marks]E
Error Analysis
Review the following common mistake. Identify and correct it.
1.
A student expands 4(a + 3) as 4a + 3. Explain what mistake was made and give the correct expansion.
[2 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet