Daily Practice · Foundation

July 2023 5-a-day

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July 2023

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' July 2023 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in July 2023

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st July 2023A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  2. 2nd July 2023A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  3. 3rd July 2023On a tree diagram, what do you do to find the probability of a single path through the branches?
  4. 4th July 2023On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?
  5. 5th July 2023Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  6. 6th July 2023A sample of 25 students from a school of 500 found that 5 walk to school. Estimate how many of all 500 students walk to school.
  7. 7th July 2023Find the mean of 4, 7, 9, 12, 18.
  8. 8th July 2023A researcher wants a sample of 50 from a population of 500 using systematic sampling, with a random start of 4. List the first three people selected.
  9. 9th July 2023What is a control group used for?
  10. 10th July 2023A grouped frequency table has intervals of unequal width, 0 <= x < 10 and 10 <= x < 40. Explain why this could make the table misleading when drawing a histogram.
  11. 11th July 2023A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
  12. 12th July 2023Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
  13. 13th July 2023A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?
  14. 14th July 2023A scatter graph shows that as temperature increases, the number of hot drinks sold decreases. What type of correlation is this?
  15. 15th July 2023For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
  16. 16th July 2023A company pilots its customer feedback survey on 20 customers before sending it to all 5000 customers. Explain why using only 20 people is still useful.
  17. 17th July 2023A student uses last year's census results for her project instead of running her own survey. Is this primary or secondary data?
  18. 18th July 2023A class of 15 students has a mean score of 30. When combined with another class of 25 students, the combined mean of all 40 students is 40. Find the mean score of the second class.
  19. 19th July 2023A survey of favourite colours gives: Red 6, Blue 9, Green 4, Yellow 5. How many people were surveyed in total?
  20. 20th July 2023A bar chart shows the bar for 'Bus' with height 40 and the bar for 'Walk' with height 25. How many more pupils travel by bus than walk?
  21. 21st July 2023A stem-and-leaf diagram has rows: 0|5 8, 1|2 2 6, 2|1. How many data values are there in total?
  22. 22nd July 2023For 80 data values, at what cumulative frequency do you read across to find the lower quartile?
  23. 23rd July 2023Two neighbouring regions on a choropleth map are shaded the same colour. What can you conclude about their values?
  24. 24th July 2023Which percentile is the same as the median?
  25. 25th July 2023A spreadsheet shows the formula =SUM(F1:F5)/COUNT(F1:F5) in cell F6. What statistical measure does this formula calculate?
  26. 26th July 2023State two things that should be decided during the planning stage of the enquiry cycle.
  27. 27th July 2023State whether interviewing shoppers face-to-face about their favourite supermarket is primary or secondary data collection.
  28. 28th July 2023For the ordered data 6, 9, 11, 14, 16, 18, 20, 23, 25, 28, find the interquartile range.
  29. 29th July 2023A pictogram key shows 1 symbol = 6 cakes. A row has 1 symbol and a third of a symbol. How many cakes does the row represent?
  30. 30th July 2023A spinner with sections A, B and C is spun alongside a fair coin. How many outcomes are in the sample space, and what is P(getting C and Heads)?
  31. 31st July 2023A class interval is 20-30 with frequency 8. Give the coordinates of the point plotted for this class.

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