Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
1–10 of 108
Question 1
1 mark · Easy
Answer and see the solution →Write in its simplest form.
Question 2
2 marks · Easy
Answer and see the solution →Simplify the expression . Give your answer as a surd in its simplest form.
Question 3
2 marks · Easy
Answer and see the solution →Explain why is an irrational number.
Question 4
3 marks · Easy
Answer and see the solution →Let and .
Use a Venn diagram to answer the following:
(a)[1 mark]List the elements in (the intersection of and ).
(b)[1 mark]List the elements in (the union of and ).
(c)[1 mark]What is ?
Question 5
3 marks · Easy
Answer and see the solution →The table below shows three different numbers. Complete the table by stating for each number whether it is rational or irrational, and expressing any rational number as a fraction in its simplest form.
Classifying numbers as rational or irrational Number Rational or Irrational? If rational, write as a fraction 0.42 0.151515... Question 6
1 mark · Easy
Answer and see the solution →Is the number rational or irrational?
Question 7
2 marks · Easy
Answer and see the solution →Simplify , giving your answer in the form , where and are integers and is as small as possible.
Question 8
2 marks · Normal
Answer and see the solution →Write down one rational number and one irrational number between 3 and 4.
Question 9
3 marks · Normal
Answer and see the solution →Simplify . Give your answer as a surd in its simplest form.
Question 10
3 marks · Normal
Answer and see the solution →Explain why cannot be written as a rational number, but can. Use your knowledge of surds and rational numbers.