Daily Practice · Foundation

August 2026 5-a-day

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August 2026

31 sheets · 155 questions · Foundation tier

Printing for a group?

The batch download puts all 2 tiers' August 2026 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in August 2026

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

  1. 1st August 2026A base year value is 40 and this year's value is 50. Find the index number.
  2. 2nd August 2026A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  3. 3rd August 2026A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  4. 4th August 2026On a tree diagram, what do you do to find the probability of a single path through the branches?
  5. 5th August 2026On 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?
  6. 6th August 2026Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  7. 7th August 2026A 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.
  8. 8th August 2026Find the mean of 4, 7, 9, 12, 18.
  9. 9th August 2026A 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.
  10. 10th August 2026What is a control group used for?
  11. 11th August 2026A 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.
  12. 12th August 2026A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
  13. 13th August 2026Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
  14. 14th August 2026A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?
  15. 15th August 2026A scatter graph shows that as temperature increases, the number of hot drinks sold decreases. What type of correlation is this?
  16. 16th August 2026For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
  17. 17th August 2026A 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.
  18. 18th August 2026A student uses last year's census results for her project instead of running her own survey. Is this primary or secondary data?
  19. 19th August 2026A 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.
  20. 20th August 2026A survey of favourite colours gives: Red 6, Blue 9, Green 4, Yellow 5. How many people were surveyed in total?
  21. 21st August 2026A 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?
  22. 22nd August 2026A stem-and-leaf diagram has rows: 0|5 8, 1|2 2 6, 2|1. How many data values are there in total?
  23. 23rd August 2026For 80 data values, at what cumulative frequency do you read across to find the lower quartile?
  24. 24th August 2026Two neighbouring regions on a choropleth map are shaded the same colour. What can you conclude about their values?
  25. 25th August 2026Which percentile is the same as the median?
  26. 26th August 2026A spreadsheet shows the formula =SUM(F1:F5)/COUNT(F1:F5) in cell F6. What statistical measure does this formula calculate?
  27. 27th August 2026State two things that should be decided during the planning stage of the enquiry cycle.
  28. 28th August 2026State whether interviewing shoppers face-to-face about their favourite supermarket is primary or secondary data collection.
  29. 29th August 2026For the ordered data 6, 9, 11, 14, 16, 18, 20, 23, 25, 28, find the interquartile range.
  30. 30th August 2026A 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?
  31. 31st August 2026A 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)?

The same month at another level