Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 3
104 practice questions
Topics covered
Practice questions
31–40 of 104
Question 31
2 marks · Normal
Answer and see the solution →Expand the following expression:
Question 32
3 marks · Normal
Answer and see the solution →Solve the following linear equation. Give your answer in simplest form:
(a)[3 marks]Question 33
2 marks · Normal
Answer and see the solution →Show, by expanding , how the general quadratic is formed. Write the resulting expression.
Question 34
2 marks · Normal
Answer and see the solution →Complete the following table for :
(a)[2 marks]x y -1 0 1 2 Question 35
4 marks · Hard
Answer and see the solution →A rectangular flower bed has a width that is 5 m less than its length. The area is 84 m².
Let the length of the bed be m. Form a quadratic equation for and solve it to find the dimensions of the flower bed.
Question 36
3 marks · Hard
Answer and see the solution →Write down an algebraic identity involving squares that is always true for any value of , and show why it is always true by expanding or simplifying it.
Question 37
4 marks · Hard
Answer and see the solution →Solve the following system of simultaneous equations using algebraic methods (substitution or elimination):
Question 38
1 mark · Easy
Answer and see the solution →On a distance–time graph, what does a horizontal line represent about the motion of an object?
Question 39
2 marks · Easy
Answer and see the solution →A walker covers 8 km in 2 hours at a constant speed. What is her speed in km/h?
Question 40
3 marks · Easy
Answer and see the solution →(a)[2 marks]The distance–time graph shows a straight line from (0, 0) to (2, 10). What is the speed in km/h?
(b)[1 mark]What does the straight line indicate about the movement?