Mastering Simultaneous Equations
Mathematics
GCSE Foundation
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering key concepts and application problems related to solving simultaneous equations for GCSE Foundation students.
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Mastering Simultaneous Equations
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x and y: 2x + 3y = 12 and x - y = 1.
[2 marks]2.
Solve the simultaneous equations: 4x - y = 7 and 2x + y = 3.
[2 marks]3.
Find x and y if: 3x + 2y = 10 and x = y + 1.
[2 marks]4.
Solve for x and y: x + y = 5 and 2x - y = 4.
[2 marks]5.
Calculate the values of x and y: 5x + y = 11 and 3x - 2y = 4.
[3 marks]6.
Determine x and y: x/2 + y/3 = 3 and x - y = 1.
[2 marks]7.
Reasoning: If x + y = 7 and 2x - y = 3, what are the values of x and y? Explain your steps.
[3 marks]8.
A shop sells pencils and erasers. The total cost of 3 pencils and 2 erasers is £5. The cost of one pencil is £1 more than an eraser. Find the cost of each item.
[4 marks]9.
In a farm, chickens and cows have a total of 30 legs. There are twice as many chickens as cows. Find the number of chickens and cows.
[4 marks]10.
Challenge: A movie theatre sells tickets for adults and children. The total revenue from 10 tickets is £120. If each adult ticket costs £12 and each child's ticket costs £8, how many adult and children tickets were sold?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet