Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 6
17 practice questions
Practice questions
1–10 of 17
Question 1
2 marks · Easy
Answer and see the solution →y is directly proportional to x. Given that y = 21 when x = 7, find the value of y when x = 10.
Question 2
3 marks · Easy
Answer and see the solution →Expand and simplify the following expression fully:
Question 3
4 marks · Easy
Answer and see the solution →The cost, C dollars, of printing a set of posters is directly proportional to the number of posters, n.
When 50 posters are printed, the cost is $80.
(a)[1 mark]Write the formula for C in terms of n.
(b)[2 marks]Calculate the cost of printing 120 posters.
(c)[1 mark]How many posters can be printed for $200?
Question 4
1 mark · Easy
Answer and see the solution →Simplify the following expression:
Question 5
1 mark · Easy
Answer and check →Evaluate 2^{3} \times 2^{-1}.
Question 6
2 marks · Easy
Answer and see the solution →If a = 3 and b = -2, calculate the value of the expression:
Question 7
2 marks · Normal
Answer and see the solution →Given that is directly proportional to and when , find the value of when .
Question 8
2 marks · Normal
Answer and see the solution →The length, metres, of a metal rod is directly proportional to its temperature increase, degrees Celsius. If the rod is 102 cm long when it is heated by 20 ∘C (assume it starts at 0 cm at 0 ∘C), what is its length after a temperature increase of 37.5 ∘C? Give your answer in centimetres.
Question 9
2 marks · Normal
Answer and see the solution →Simplify the following expression and write your answer with positive indices only:
Question 10
2 marks · Normal
Answer and see the solution →The kinetic energy of a moving object varies as the square of its speed .
Explain in words what happens to the kinetic energy if the speed of an object is trebled.