Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 2
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Use the rules of indices to simplify the following expression and give your answer as a single power of :
Question 2
3 marks · Normal
Answer and see the solution →Simplify the following algebraic fraction as much as possible:
Question 3
4 marks · Normal
Answer and see the solution →A formula links the area of a rectangle to its length and width :
(a)[1 mark]Substitute and . Work out the area .
(b)[2 marks]Rearrange the formula to make the subject.
(c)[1 mark]If the area and , find .
Question 4
3 marks · Normal
Answer and see the solution →Complete the table for where is directly proportional to .
n 1 2 4 m 5 Question 5
2 marks · Normal
Answer and see the solution →Evaluate .
Question 6
4 marks · Normal
Answer and see the solution →Given that is inversely proportional to .
(a)[2 marks]If when , write a formula for in terms of .
(b)[1 mark]Calculate the value of when .
(c)[1 mark]Find the value of when .
Question 7
4 marks · Normal
Answer and see the solution →Solve the equation for \( x \ ):
Question 8
4 marks · Normal
Answer and see the solution →The time (in seconds) for a task is inversely proportional to the number of people working.
(a)[2 marks]If 3 people can do the task in 20 seconds, write a formula for in terms of .
(b)[1 mark]How long does the task take with 5 people?
(c)[1 mark]How many people are needed to complete the task in 12 seconds?