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A-LevelAges 16-18Maths

Free Division Worksheets for A-Level

Practice dividing numbers. 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

Use long division confidently
Divide fractions and decimals
Apply division in algebraic contexts
Interpret remainders appropriately in context

Sample Division Questions for A-Level

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

1

Calculate: 5,670 ÷ 45

easyshort answer
2

A prize of £15,000 is shared equally among 12 winners. How much does each receive?

mediumshort answer
3

45.6 ÷ 0.8 = ?

mediumfill blank
4

Express 7 ÷ 8 as a decimal

hardshort answer
5

If 360 ÷ n = 15, find n

hardfill blank

Skills Your Child Will Build

Inverse operations
Sharing and grouping
Remainders
Problem solving

Real-World Applications

Understanding division helps children in everyday situations:

Sharing equally
Working out unit prices
Calculating averages
Splitting bills

Common Mistakes to Watch For

Help your child avoid these common division mistakes:

  • !Remainder errors
  • !Place value mistakes
  • !Not checking with multiplication
  • !Decimal placement

Learning Progression

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

Sample Division Worksheets

1 available

Division Worksheet Preview

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Division Worksheet - A-Level - Intermediate

A-Level · intermediate difficulty

Preview

Activity 1: Algebraic Long Division

Perform algebraic long division on the following expressions. Show each step of your working and simplify your answers where possible.

1. Divide 2x^3 + 3x^2 - 5x + 6 by x - 2. ______
2. Divide 4x^4 - 8x^3 + x - 5 by 2x^2 - 1. ______
3. Divide x^3 - 6x^2 + 11x - 6 by x - 1. ______

Activity 2: Partial Fractions

Express the following rational functions as a sum of partial fractions. Show all steps and simplify your final answers.

1. \( \frac{3x + 5}{(x + 1)(x - 2)} \) ______
2. \( \frac{2x^2 + 7x + 3}{(x + 2)(x - 1)} \) ______
3. \( \frac{x^2 + 4x + 4}{(x - 1)^2(x + 3)} \) ______

Tips for Teaching Division

1Always check answers by multiplying back
2Teach sharing and grouping as two different models
3Short division before long division
4Reinforce that dividing by 1 gives the same number

More Maths Topics for A-Level

Division for Other Age Groups

Frequently Asked Questions

What division topics are covered in these worksheets?
Our division worksheets for A-Level cover all aspects of practice dividing numbers as required by the UK National Curriculum. Each worksheet is designed to build skills progressively from foundation to challenge level.
Are these division 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 division 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 division 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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