Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
11–20 of 107
Question 11
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 12
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 13
2 marks · Normal
Answer and see the solution →Write 0.8 as a fraction in its simplest form.
Question 14
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 15
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 16
2 marks · Hard
Answer and see the solution →The decimal number 0.345345345\ldots has a repeating block of 3 digits. What is the 50th digit after the decimal point?
Question 17
4 marks · Hard
Answer and see the solution →Express the recurring decimal as a fraction in its simplest form. Show all your working.
Question 18
4 marks · Hard
Answer and see the solution →Explain how to write and as fractions in their simplest form. Describe the differences in your working and the forms of the answers.
Question 19
1 mark · Easy
Answer and see the solution →Solve the quadratic equation .
Question 20
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.