(ax+b)(cx+d): Challenge & Extension
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering expanding double brackets of the form (ax + b)(cx + d) with a focus on procedural fluency, problem solving, and extension challenges for GCSE Foundation students.
Worksheet Preview
Full preview • 11 questions
(ax+b)(cx+d): Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression (2x + 3)(x + 4).
[2 marks]2.
Expand and simplify: (3x - 5)(2x + 7).
[2 marks]3.
Factor the expansion of (x + 2)(3x + 4).
[2 marks]4.
Calculate the expansion of (5x + 2)(x - 3).
[2 marks]5.
Solve for x: (x + 1)(x + 5) = 0.
[2 marks]6.
Expand (4x - 3)(x + 2) and write the quadratic in standard form.
[3 marks]7.
A rectangle has its length expressed as (x + 3) and its width as (2x - 1). Find an expression for its area.
[3 marks]8.
Construct a quadratic expression by expanding (x + 1)(x + 7).
[3 marks]9.
Factor the expression 3x^2 + 15x.
[2 marks]10.
Identify and correct the mistake in expanding (x + 4)(x - 3) as x^2 - 12.
[3 marks]11.
Expand (2x + 5)(3x + 2) and verify your result.
[3 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