Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 4
104 practice questions
Topics covered
Practice questions
31–40 of 48 · Normal
Question 31
2 marks · Normal
Answer and see the solution →A rectangle has a diagonal of length 25 m and one of its sides is 24 m. Find the length of the other side.
Question 32
4 marks · Normal
Answer and see the solution →The diagram shows a right-angled triangle XYZ where Y is the right angle, XY = 7.8 cm and angle ZXY = 38°.
Right-angled triangle XYZ (a)[2 marks](a) Calculate the length XZ.
(b)[2 marks](b) Find the length YZ. Give your answer to 2 decimal places.
Question 33
3 marks · Normal
Answer and see the solution →The ages (in years) of 9 members of a chess club are:
Age 8 9 12 12 13 14 16 17 19 Work out the median, lower quartile, upper quartile, and inter-quartile range of these ages.
Question 34
3 marks · Normal
Answer and see the solution →The test scores of 6 students are:
Student Score A 71 B 73 C 67 D 73 E 75 F 74 Complete the table by adding two rows for the mode and mean of these test scores. Give your answers in the table.
Question 35
2 marks · Normal
Answer and see the solution →A football coach says, “The mean number of goals scored this season is 2, but the mode is 0.”
Explain, using the meanings of mean and mode, what this tells you about the football team’s performance.
Question 36
3 marks · Normal
Answer and see the solution →The table shows the number of seeds in each of 8 apples:
Apple Seeds A 4 B 6 C 6 D 7 E 7 F 8 G 12 H 16 Calculate the range and the inter-quartile range of the number of seeds per apple.
Question 37
4 marks · Normal
Answer and see the solution →The table shows the frequency of scores in a quiz.
Score Frequency 2 3 3 5 4 6 5 4 6 2 (a)[2 marks]Work out the mean score.
(b)[1 mark]Write down the modal score.
(c)[1 mark]Find the range of the scores.
Question 38
4 marks · Normal
Answer and see the solution →A bag contains 6 blue, 3 red, and 1 green bead. One bead is picked at random from the bag.
(a)[1 mark]Write down the probability that the bead picked is blue.
(b)[1 mark]Write down the probability that the bead is not red.
(c)[2 marks]What is the probability that the bead is either red or green?
Question 39
3 marks · Normal
Answer and see the solution →The spinner below shows the possible outcomes when spun.
Spinner outcomes Sector Red Blue Green Frequency 5 3 2 Use the table to write down:
(a)[1 mark]The probability of getting red.
(b)[1 mark]The probability of not getting blue.
(c)[1 mark]The most likely outcome (mode).
Question 40
2 marks · Normal
Answer and see the solution →A class of 20 students is asked if they like maths, science or both. Their responses are shown:
Like maths only Like science only Like both Like neither 7 3 6 4 What is the probability that a student chosen at random likes maths? Give your answer as a fraction.