Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
1–10 of 41 · Easy
Question 1
1 mark · Easy
Answer and see the solution →Write the recurring decimal as a fraction in its simplest form.
Question 2
2 marks · Easy
Answer and see the solution →Express
as a decimal. Give your answer to three decimal places.Question 3
2 marks · Easy
Answer and see the solution →A calculator shows that
. Explain how you know this decimal is recurring and not terminating.Question 4
3 marks · Easy
Answer and see the solution →The decimal expansion of 0.\overline{123} is 0.123123123\ldots
(a)[1 mark]Write down the first six digits after the decimal point for 0.\overline{123}.
(b)[1 mark]Describe the pattern you see in the decimal expansion.
(c)[1 mark]Write 0.\overline{123} as a fraction in its simplest form.
Question 5
3 marks · Easy
Answer and see the solution →Complete the table by writing the fraction in its lowest terms for each recurring decimal.
Recurring decimals to fractions Decimal Fraction (simplest form) 0.\overline{7} 0.0\overline{3} 0.\overline{81} Question 6
1 mark · Easy
Answer and see the solution →Write the fraction
as a decimal.Question 7
2 marks · Easy
Answer and see the solution →A calculator shows that
. Write as a decimal correct to 4 decimal places.Question 8
1 mark · Easy
Answer and see the solution →Solve the quadratic equation
.Question 9
2 marks · Easy
Answer and see the solution →A rectangle has a length that is 3 metres more than its width. Its area is 40 m². Find the width of the rectangle.
Question 10
2 marks · Easy
Answer and see the solution →The solutions to the quadratic inequality
are required.Write down the values of
that satisfy the inequality.