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Rational And Irrational Numbers Worksheet

Rational And Irrational Numbers Worksheet

Help your students prepare for their Maths GCSE with this free rational and irrational numbers worksheet of 44 questions and answers

  • Section 1 of the rational and irrational numbers worksheet contains 36 skills-based rational and irrational numbers questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied rational and irrational numbers questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam style rational and irrational numbers questions 
  • Answers and a mark scheme for all rational and irrational numbers questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions and math worksheets are created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Rational and irrational numbers at a glance

 

Within the real number system, a rational number is any number that can be expressed in the form “p over 1” where p and q are integers. Whole numbers, terminating decimals and recurring decimals (repeating decimals) are all rational numbers. 

 

Irrational numbers are numbers which cannot be written in the form “p over q”. When written as decimals, irrational numbers go on forever without repeating. Examples of irrational numbers include the square root of any number that is not a perfect square and pi.

 

Looking forward, students can then progress to additional number worksheets, for example a fractions worksheet or a rounding worksheet.

 

GCSE-resources-worksheets

 

For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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Do you have KS4 students who need more focused attention to succeed at GCSE?

GCSE Maths Worksheets

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.


Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.


Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.


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