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A-LevelAges 16-18Maths

Free Algebra Worksheets for A-Level

Introduction to algebraic expressions and equations. Download free printable maths worksheets designed for A-Level students (ages 16-18), aligned to the UK National Curriculum.

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What Your Child Will Learn

Solve simultaneous equations
Factorise algebraic expressions
Work with quadratic equations
Apply algebra in real-world modelling problems

Sample Algebra Questions for A-Level

Here are examples of the types of questions your child will practice:

1

Solve: 5x - 3 = 2x + 9

easyshort answer
2

Factorise: x² + 5x + 6

mediumshort answer
3

Solve the simultaneous equations: x + y = 7, x - y = 3

mediumshort answer
4

Solve: x² - 4x - 5 = 0

hardshort answer
5

Make y the subject: 2x + 3y = 12

hardshort answer
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Skills Your Child Will Build

Abstract thinking
Pattern recognition
Equation solving
Mathematical modelling

Real-World Applications

Understanding algebra helps children in everyday situations:

Formulae in science
Computer programming
Engineering
Financial planning

Common Mistakes to Watch For

Help your child avoid these common algebra mistakes:

  • !Sign errors
  • !Order of operations
  • !Variable confusion
  • !Expanding bracket errors

Learning Progression

Mastering algebra at this level prepares students for A-Level study and beyond, developing expertise valued in higher education and careers.

Sample Algebra Worksheets

1 available

Algebra Worksheet - A-Level - Intermediate

intermediate
130

Algebra Worksheet Preview

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Algebra Worksheet - A-Level - Intermediate

A-Level · intermediate difficulty

Preview

Activity 1: Quadratic Equations

Solve each quadratic equation by factorising, completing the square, or using the quadratic formula. Show all steps clearly.

1. x² - 5x + 6 = 0 ______
2. 2x² + 3x - 2 = 0 ______
3. x² - 4x - 5 = 0 ______
4. 3x² - 12x + 9 = 0 ______
5. x² + 6x + 9 = 0 ______

Activity 2: Solving Inequalities

Solve the following inequalities and represent the solutions on a number line. Ensure to show your workings and provide the solution set.

1. 3x - 4 > 5 ______
2. 2x + 7 ≤ 3x - 5 ______
3. -x/2 + 3 < 1 ______
4. 4(x - 1) ≥ 2(x + 3) ______
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Tips for Teaching Algebra

1Use balancing scales to explain equations
2Substitute numbers to check solutions
3Start with one-step equations before two-step
4Encourage showing all working

More Maths Topics for A-Level

AdditionSubtractionMultiplicationDivisionFractionsDecimals

Algebra for Other Age Groups

Early Years

Ages 0-2

Nursery

Ages 3-4

Reception

Ages 4-5

Key Stage 1

Ages 5-7

Key Stage 2

Ages 7-11

Key Stage 3

Ages 11-14

GCSE

Ages 14-16

Frequently Asked Questions

What algebra topics are covered in these worksheets?▼
Our algebra worksheets for A-Level cover all aspects of introduction to algebraic expressions and equations as required by the UK National Curriculum. Each worksheet is designed to build skills progressively from foundation to challenge level.
Are these algebra worksheets suitable for A-Level?▼
Yes, these worksheets are specifically designed for A-Level students (ages 16-18). The content difficulty and question types are carefully matched to National Curriculum expectations for this age group.
How can I use these algebra worksheets effectively?▼
We recommend 15-20 minutes of focused practice per session. Use the worksheets to reinforce concepts taught at school, identify areas needing more practice, and build confidence. Every worksheet includes an answer key for easy self-assessment.
Do the algebra worksheets include answer keys?▼
Yes, every worksheet comes with a complete answer key on a separate page. This makes it easy for parents to check homework, teachers to mark work, and students to self-assess their understanding.

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