Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 2
105 practice questions
Topics covered
Practice questions
31–38 of 38 · Easy
Question 31
2 marks · Easy
Answer and see the solution →A group of friends send the following number of text messages in one day:
3, 7, 4, 2, 6
Work out the mean number of text messages sent.
Question 32
2 marks · Easy
Answer and see the solution →Look at the following types of data:
Data types Data description Colour of shoes Number of siblings Favourite food Choose one row and write which type of data it is (discrete, continuous, or categorical).
Question 33
4 marks · Easy
Answer and see the solution →A right-angled triangle has side lengths 3 cm and 4 cm. The third side is the hypotenuse. Use Pythagoras' theorem to find its length. Then, write your answer in standard form.
(a)[2 marks]Work out the length of the hypotenuse.
(b)[2 marks]Express your answer to part (a) in standard form.
Question 34
4 marks · Easy
Answer and see the solution →Write 0.00052 in standard form. Then, substitute x = 4 into the expression .
(a)[2 marks]Express 0.00052 in standard form.
(b)[2 marks]Work out the value of when .
Question 35
4 marks · Easy
Answer and see the solution →A circle has a radius of 6 cm. Use the formula to calculate its circumference. Then, use your answer to work out the probability that a point chosen at random on the circle's circumference lies in the first quarter (a 90° arc).
(a)[2 marks]Find the circumference of the circle. Use .
(b)[2 marks]What is the probability that a randomly chosen point on the circumference lies in the first quarter (90°) of the circle? Give your answer as a fraction.
Question 36
4 marks · Easy
Answer and see the solution →a) Simplify the following using laws of indices: 5^3 × 5^2.
b) A rectangle has length 10 cm and width 3 cm. Work out its area. Give your answer in standard form.
(a)[2 marks]Simplify the following using laws of indices: 5^3 × 5^2.
(b)[2 marks]A rectangle has length 10 cm and width 3 cm. Work out its area. Give your answer in standard form.
Question 37
4 marks · Easy
Answer and see the solution →A physicist records a measurement in standard form as metres. She then substitutes this distance into the equation , where m/s and is the time in seconds.
(a)[1 mark]Write metres as an ordinary number.
(b)[3 marks]Work out the value of , giving your answer in standard form.
Question 38
4 marks · Easy
Answer and see the solution →The heights (in metres) of four plants are shown below:
Plant Height (m) A 1.32 B 1.18 C 1.40 D 1.26 A fifth plant is measured at 1.34 m. The total height of all five plants is recorded. The mean height is also calculated.
(a)[2 marks]Work out the total height of all five plants.
(b)[2 marks]Calculate the mean height of the five plants. Give your answer to 2 decimal places.