Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
1–10 of 48 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Write the recurring decimal as a fraction in its simplest form.
Question 2
3 marks · Normal
Answer and see the solution →Write the following numbers as decimals, giving your answer to two decimal places where necessary.
(a)[1 mark](b)[1 mark](c)[1 mark]0.18 as a fraction in its simplest form.
Question 3
3 marks · Normal
Answer and see the solution →A calculator shows that .
Explain how you know this decimal is recurring, and write as a decimal.
Question 4
4 marks · Normal
Answer and see the solution →Study the decimal expansions below and answer the questions.
(a)[1 mark]Which of the following decimals is recurring? Circle your answer. (i) 0.125 (ii) 0.27272727... (iii) 0.304
(b)[1 mark]Explain why.
(c)[2 marks]Write 0.27272727... as a fraction in its simplest form.
Question 5
4 marks · Normal
Answer and see the solution →This table shows some recurring decimals. Complete the table by writing each as a fraction in its simplest form.
Decimal Fraction (simplest form) 0.\overline{81} 0.\overline{6} 0.0\overline{2} 0.0\overline{46} Question 6
2 marks · Normal
Answer and see the solution →Write 0.8 as a fraction in its simplest form.
Question 7
3 marks · Normal
Answer and see the solution →A calculator gives as the answer to . Express your answer as a decimal to three significant figures.
Question 8
3 marks · Normal
Answer and see the solution →Here are two numbers written as decimals: 0.6 and 0.\overline{6}. Are these two numbers the same? Explain your answer clearly.
Question 9
2 marks · Normal
Answer and see the solution →Solve the quadratic equation by factorisation.
Question 10
3 marks · Normal
Answer and see the solution →A rectangular garden has a length that is 2 m greater than its width. The area of the garden is 48 m^2.
(a)[1 mark]Form a quadratic equation for the width of the garden, .
(b)[2 marks]Solve the equation to find the width of the garden.