Mastering Formulae
Mathematics
GCSE Foundation
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering key algebraic formulae for GCSE Foundation students, focusing on understanding and applying formulae.
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Mastering Formulae
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.
Simplify the expression for the area of a rectangle with length 3x + 2 and width x - 1.
[2 marks]2.
Expand the expression: (2a + 3)(a - 4).
[2 marks]3.
Factorize the quadratic expression: x^2 + 5x + 6.
[2 marks]4.
Solve for x: 4x - 7 = 2x + 5.
[2 marks]5.
Express the formula for the perimeter of a rectangle in terms of length l and width w.
[2 marks]6.
If the area of a rectangle is 60 cm^2 and the width is 5 cm, find the length.
[3 marks]7.
The formula for the volume of a cube is V = a^3. If the volume is 512 cm^3, find the length of one side.
[3 marks]8.
A rectangle has length 2x + 4 and width x - 2. Write an expression for its area.
[2 marks]9.
Given the quadratic x^2 - 4x - 5, factorize it.
[2 marks]10.
A car's fuel consumption can be modeled by the formula: Fuel = 0.05x + 3, where x is the distance traveled in km. How much fuel is needed for 150 km?
[3 marks]11.
Challenge: A rectangular garden is to be designed with a perimeter of 60 meters. If the length is 5 meters longer than the width, find the dimensions of the garden.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet