Mastering 3+ Operations: Challenge & Extension
Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A challenging worksheet exploring the application of three or more operations within the order of operations framework. Designed to develop procedural mastery, problem-solving skills, and real-world application for GCSE Foundation students.
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Mastering 3+ Operations: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Calculate each expression carefully, following the order of operations. Show your working in the grid spaces provided.
1.
Evaluate: 6 + 4 × 3 - 2
[2 marks]2.
Calculate: (8 + 2) × 5 - 6
[2 marks]3.
Simplify: 12 ÷ 3 + 5 × 2
[2 marks]4.
Evaluate: 3 + 4 × 2^2 - 5
[2 marks]B
Problem Solving & Reasoning
Solve these multi-step problems. Show your reasoning clearly.
1.
A pizza costs £10. If you buy 3 pizzas and each pizza has 4 toppings, calculate the total cost if each topping costs £0.50. Show all steps.
[4 marks]2.
A recipe requires 2 cups of flour, 3 eggs, and 4 tablespoons of sugar. If the recipe is doubled and each egg costs £0.20, find the total cost for the eggs needed.
[4 marks]C
Real-World Applications
Apply your knowledge to these contextual problems involving multiple operations.
1.
A car travels 60 miles at a constant speed. If it takes 2 hours and the driver stops for 15 minutes for refreshment, calculate the average speed during the driving period.
[3 marks]2.
A shop sells 3 items at £15, £20, and £25. If a discount of 10% is applied to the total, what is the final amount paid?
[3 marks]D
Challenge & Extension
Attempt these advanced problems to deepen your understanding of complex operations.
1.
Evaluate: (5 + 3)^2 × 2 - 4 ÷ 2
[3 marks]2.
Construct a rectangle on the grid with length 8 units and width (6 + 2) units. Calculate the area.
[3 marks]E
Mixed Review
Answer these questions using your knowledge of 3+ operations in various contexts.
1.
Simplify: 2 + 3 × (4 + 6) ÷ 2
[2 marks]2.
A bottle contains 2 liters of juice. Each glass holds 250 ml. How many glasses can be filled if 3 glasses are poured, and 1/4 of the remaining juice is used to refill? Show calculations.
[4 marks]F
Error Analysis
Review these common mistakes and correct the expressions.
1.
Identify and correct the mistake: 8 + 6 ÷ 2 × 3 = 27
[2 marks]2.
Rewrite and evaluate: 5 + (3 + 2) × 4 without error.
[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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet