Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 10
108 practice questions
Topics covered
Practice questions
11–20 of 41 · Easy
Question 11
3 marks · Easy
Answer and see the solution →Solve the following equation for :
(a)[1 mark]Write down the first step you would use to start solving the equation.
(b)[2 marks]Complete the solution to find the value of .
Question 12
3 marks · Easy
Answer and see the solution →The table gives values of and , and the algebraic fraction for selected values of . Complete the missing entries.
a b 2 ? ? 3 ? ? 6 ? ? Question 13
1 mark · Easy
Answer and see the solution →Write and as a single simplified fraction.
Question 14
2 marks · Easy
Answer and see the solution →Solve the equation .
Question 15
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 16
2 marks · Easy
Answer and see the solution →Differentiate with respect to .
Question 17
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.
Question 18
2 marks · Easy
Answer and see the solution →The velocity of a particle is given by , where is in seconds. Find the acceleration of the particle when .
Question 19
2 marks · Easy
Answer and see the solution →Consider the cubic function . A stationary point occurs when the gradient is zero.
(a)[2 marks]State why the gradient at a stationary point is zero.
Question 20
3 marks · Easy
Answer and see the solution →The table below gives the values of y for the curve at different points:
x y -1 -1 0 0 1 5 2 14 Use the table to estimate the gradient (rate of change) between the points where and . Give your answer in simplest form.