Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 6
17 practice questions
Practice questions
1–7 of 7 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Given that is directly proportional to and when , find the value of when .
Question 2
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 3
2 marks · Normal
Answer and see the solution →Simplify the following expression and write your answer with positive indices only:
Question 4
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.
Question 5
3 marks · Normal
Answer and see the solution →A factory produces widgets. The number of widgets, , produced is directly proportional to the number of workers, , employed.
(a)[1 mark]On a certain day, 50 workers produce 600 widgets. Write the formula connecting and .
(b)[1 mark]How many widgets would 90 workers produce?
(c)[1 mark]How many workers are needed to produce 960 widgets?
Question 6
2 marks · Normal
Answer and see the solution →Simplify the following expression, writing your answer as a power of only:
Question 7
2 marks · Normal
Answer and see the solution →It takes a bee 300 000 km to produce 2 kg of honey. The distance (km) travelled is directly proportional to the mass (kg) of honey produced.
How many grams of honey can the bee produce by flying 45 000 km? (Give your answer in grams.)