Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
11–20 of 49 · Normal
Question 11
2 marks · Normal
Answer and see the solution →Simplify the following algebraic fraction completely:
Question 12
3 marks · Normal
Answer and see the solution →Combine the following algebraic fractions as a single simplified fraction:
Question 13
3 marks · Normal
Answer and see the solution →Explain why it is necessary to clear denominators when solving an equation such as
and, by following this idea, show the first step of working for this equation.
Question 14
4 marks · Normal
Answer and see the solution →(a)[2 marks]Simplify the following algebraic fraction as much as possible:
(b)[2 marks]Simplify the following algebraic fraction as much as possible:
Question 15
4 marks · Normal
Answer and see the solution →A table shows two separate algebraic fractions for different values of :
Values for \( f(x) = \frac{3}{x} \) and \( g(x) = \frac{x}{2} \) x f(x) g(x) 2 3/2 1 4 3/4 2 6 1/2 3 Complete the table below for the sum . Give your answers as simplified fractions.
Question 16
2 marks · Normal
Answer and see the solution →Solve the following equation for :
Question 17
3 marks · Normal
Answer and see the solution →Simplify the following algebraic fraction as much as possible:
Question 18
3 marks · Normal
Answer and see the solution →You are asked to subtract the two algebraic fractions below and express your answer as a single simplified fraction:
Describe the steps you will use to obtain your answer, and explain why the common denominator should be left factorised until the end.
Question 19
2 marks · Normal
Answer and see the solution →Differentiate with respect to . Give your answer in terms of .
Question 20
3 marks · Normal
Answer and see the solution →The curve has stationary points.
Find the coordinates of the stationary points and determine whether each is a maximum or a minimum.