Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 6
104 practice questions
Topics covered
Practice questions
11–20 of 47 · Normal
Question 11
2 marks · Normal
Answer and see the solution →Simplify the following expression and write your answer with positive indices only:
Question 12
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 13
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 14
2 marks · Normal
Answer and see the solution →Simplify the following expression, writing your answer as a power of only:
Question 15
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.)
Question 16
2 marks · Normal
Answer and see the solution →Write down the next three terms of the sequence:
Question 17
2 marks · Normal
Answer and see the solution →The nth term of a sequence is given by the formula:
Work out the value of the 25th term.
Question 18
3 marks · Normal
Answer and see the solution →A sequence is defined by the rule: "Start at 8, subtract 3 to get each new term." Complete the table for the first six terms.
Term position (n) 1 2 3 4 5 6 Term value 8 Question 19
4 marks · Normal
Answer and see the solution →The 4th term of an arithmetic sequence is 15 and the common difference is 6.
(a)[2 marks]Find the first term of the sequence.
(b)[2 marks]Calculate the 10th term of the sequence.
Question 20
3 marks · Normal
Answer and see the solution →Find the sum of the first 25 terms of the arithmetic sequence: 7, 12, 17, 22, ...