Mastering Quadratic Equations
Mathematics
GCSE Foundation
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Quadratic Equations for GCSE Foundation students.
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Mastering Quadratic Equations
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the quadratic expression: x^2 + 5x + 6.
[2 marks]2.
Solve for x: x^2 - 4x = 0.
[2 marks]3.
Complete the square to solve: x^2 + 6x + 5 = 0.
[3 marks]4.
Use the quadratic formula to solve: 2x^2 - 3x - 2 = 0.
[3 marks]5.
Identify the roots of the quadratic: x^2 + 2x - 8 = 0.
[2 marks]6.
Determine whether x = 3 is a solution to the equation x^2 - 5x + 6 = 0.
[2 marks]7.
Find the solutions to: 3x^2 + 2x - 1 = 0.
[3 marks]8.
Explain why the quadratic equation x^2 + 4x + 4 = 0 has a repeated root.
[4 marks]9.
A ball is thrown upwards. Its height in meters after t seconds is given by h(t) = -5t^2 + 20t + 2. When does the ball reach its maximum height?
[4 marks]10.
A rectangular garden has sides that satisfy the quadratic equation x^2 - 7x + 10 = 0, where x is the length of one side. Find the possible lengths of the sides.
[2 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet