Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 3
104 practice questions
Topics covered
Practice questions
31–36 of 36 · Easy
Question 31
3 marks · Easy
Answer and see the solution →A group of 50 people were asked how many cups of tea they drink in a day. The information is recorded in the grouped frequency table below.
Cups of tea per day Frequency 0–1 5 2–3 18 4–5 20 6–7 7 (a)[3 marks]Estimate the mean number of cups of tea per day. Give your answer to 2 decimal places.
Question 32
2 marks · Easy
Answer and see the solution →A coin is tossed and a 6-sided die is rolled. List all the possible outcomes of these two events.
Question 33
4 marks · Easy
Answer and see the solution →Express 60 as a product of its prime factors. Then solve the equation 2x + 35 = 125.
(a)[2 marks]Express 60 as a product of its prime factors in index form.
(b)[2 marks]Solve the equation 2x + 35 = 125.
Question 34
4 marks · Easy
Answer and see the solution →2. A cyclist travels for 20 minutes at a speed of 12 km/h and then for 40 minutes at a speed of 18 km/h.
(a)[1 mark]Write the time taken for each part of the journey in hours.
(b)[2 marks]Calculate the total distance travelled.
(c)[1 mark]What is the cyclist's average speed for the whole journey?
Question 35
4 marks · Easy
Answer and see the solution →3. A triangle has sides of lengths 6 cm, 8 cm and 10 cm.
(a)[2 marks]Is this a right triangle? Explain your answer using Pythagoras' Theorem.
(b)[2 marks]Write all the factors of 10.
Question 36
4 marks · Easy
Answer and see the solution →A triangle has sides of lengths 9 cm, 12 cm and 15 cm.
(a)[2 marks]State whether this triangle is a right triangle. Show your reasoning using Pythagoras’ Theorem.
(b)[2 marks]List all the multiples of 9 up to 36.