AQA GCSE STATISTICS Foundation Tier Paper 1 PRACTICE PAPER 1 F MAY 2023

GCSE STATISTICS Foundation Tier Paper 1 PRACTICE PAPER F MAY 2023 Practice paper Time allowed: 1 hour 45 minutes Materials For this paper you must have: • a calculator • mathematical instruments. Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of the page. • Answer all questions. • You must answer the questions in the spaces provided. • Do not write outside the box around each page or on blank pages. • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper and graph paper. These must be tagged securely to this answer book. Answer all questions in the spaces provided. Do not write outside the box 1 Sam sends 10 texts. 6 of them are to his brother. What is the relative frequency of the number of texts to his brother? Circle your answer. [1 mark] 0.4 0.6 4 6 2 A company makes rocking horses. The number of rocking horses sold between 2010 and 2017 is shown in the table. Year Number of rocking horses sold 2010 33 2011 39 2012 32 2013 44 2014 46 2015 46 2016 50 2017 50 Work out the range of the number of rocking horses sold. Circle your answer. [1 mark] 7 17 18 45 3 The Venn diagram below shows information about 500 students who study at a college. Do not write outside the box In the diagram F represents the students who study full-time A represents the students who study agriculture. How many students study agriculture full-time? Circle your answer. 47 132 179 434 4 Which of these is not a possible solution to a poor response rate to a postal questionnaire? Tick one box. [1 mark] [1 mark] Offer a pre-paid envelope in which to return questionnaires Send twice as many questionnaires out Let recipients know that returned questionnaires will be entered into a prize draw Offer to collect the questionnaires by hand 5 Zak lives near an open-air venue where events are often held. He records whether it is quiet (Q), noisy (N) or very noisy (V) over 13 Saturdays in June, July and August. The results are V Q V N Q N N V V V N Q N 5 (a) Complete the table below to summarise the data, giving the second and third columns a suitable heading. Do not write outside the box [4 marks] Noise level Q N V 5 (b) Give one advantage of your table over the raw data. [1 mark] 5 (c) Zak had to work all day from home on one of these Saturdays. What is the probability that it was quiet (Q)? [2 marks] Do not write outside the box Answer Question 5 continues on the next page 5 (d) The pie chart below shows the same information for 14 Saturdays in November, December and January. Do not write outside the box 5 (d)(i) Calculate the number of these 14 Saturdays that were quiet (Q). [3 marks] Answer 5 (d)(ii) Give one possible reason for the big differences in the two sets of data. [1 mark] Do not write outside the box Turn over for the next question 6 A bus should arrive at the bus station at 9 am. Olive records the number of minutes early or late it is over a period of several weeks. (Early is shown by negative numbers and late is shown by positive numbers.) The results for the first 10 days are Do not write outside the box 3 –1 0 2 5 0 –2 39 2 2 6 (a) What is the mean time of arrival for the bus over these 10 days? [3 marks] Answer am 6 (b) Why is the mean not a very good measure of average with these data? [1 mark] 6 (c) Suggest, with a reason, a better measure of average. [2 marks] Do not write outside the box 6 (d) On the 11th day, the bus did not run at all. Suggest what data value, if any, Olive should assign for this day. [1 mark] Turn over for the next question 7 Jayne’s craft group makes blankets by sewing together knitted squares. The table shows the number of blankets produced each month in 2016. Month Number of blankets Jan 19 Feb 20 Mar 17 Apr 16 May 15 Jun 10 Jul 11 Aug 8 Sep 12 Oct 18 Nov 24 Dec 30 7 (a) How many blankets were produced in 2016? [1 mark] Do not write outside the box Answer 7 (b) On the grid, draw a suitable time series graph for these data. Do not write outside the box [4 marks] 7 (c) Describe three aspects of the pattern in the number of blankets produced in 2016. [3 marks] Aspect 1: Aspect 2: Aspect 3: Question 7 continues on the next page