Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 1
108 practice questions
Topics covered
Practice questions
1–10 of 20 · Hard
Question 1
4 marks · Hard
Answer and see the solution →A student claims that and are not equivalent fractions because the numerators and denominators are different.
Explain, showing all your working, whether the student is correct.
Question 2
4 marks · Hard
Answer and see the solution →Work out . Give your answer as a fraction in its simplest form. Show all your working.
Question 3
3 marks · Hard
Answer and see the solution →Sam says that is smaller than .
Is Sam correct? Give a reason for your answer.
Question 4
4 marks · Hard
Answer and see the solution →The fractions , , and are shown below.
a) Order the fractions from smallest to largest. Give your answers as fractions.
b) Which of these fractions is closest to 1? Show your working.
(a)[2 marks]Order the given fractions from smallest to largest.
(b)[2 marks]Identify and justify which fraction is closest to 1.
Question 5
4 marks · Hard
Answer and see the solution →Expand and simplify the following expression:
Give your answer in the form .
Question 6
4 marks · Hard
Answer and see the solution →Let .
(a)[2 marks]Write in its simplest form.
(b)[2 marks]Find the value of when and .
Question 7
3 marks · Hard
Answer and see the solution →Below is an algebraic expression:
Explain step by step how to simplify this expression, and give the final answer.
Question 8
4 marks · Hard
Answer and see the solution →The straight line L passes through the points (–5, 7) and (3, –9).
(a)[2 marks]Calculate the gradient of line L.
(b)[2 marks]Find the equation of line L in the form .
Question 9
3 marks · Hard
Answer and see the solution →Consider the line y = 4x – 7.
(a)[2 marks]Explain whether the point (2, 2) lies above, below, or on the line.
(b)[1 mark]Give a reason for your answer.
Question 10
4 marks · Hard
Answer and see the solution →The point Q has coordinates (k, 12) and lies on the line y = 3x + 6.
(a)[2 marks]Find the value of k.
(b)[2 marks]The point R lies on the same line and has x-coordinate –2. Find the y-coordinate of R.