Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
31–40 of 108
Question 31
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 32
2 marks · Normal
Answer and see the solution →Solve the following equation for :
Question 33
3 marks · Normal
Answer and see the solution →Simplify the following algebraic fraction as much as possible:
Question 34
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 35
2 marks · Hard
Answer and see the solution →Simplify the following algebraic fraction as far as possible:
Question 36
4 marks · Hard
Answer and see the solution →Express the following as a single simplified fraction:
Question 37
4 marks · Hard
Answer and see the solution →Solve the following equation for x. Give your answer in its simplest form.
Question 38
1 mark · Easy
Answer and see the solution →The position of a particle moving in a straight line is given by , where is the displacement in metres and is the time in seconds.
Write down the velocity of the particle.
Question 39
2 marks · Easy
Answer and see the solution →Differentiate with respect to .
Question 40
3 marks · Easy
Answer and see the solution →A particle moves along a straight line. Its displacement after seconds is given by , where is in metres.
(a)[1 mark]Find an expression for the velocity of the particle in terms of .
(b)[2 marks]Calculate the acceleration of the particle when seconds.