Daily Practice · Foundation

October 2025 5-a-day

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October 2025

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' October 2025 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2025

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

  1. 1st October 2025Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  2. 2nd October 2025A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  3. 3rd October 2025A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  4. 4th October 2025For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  5. 5th October 2025A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  6. 6th October 2025Using the two-coin sample space, find P(exactly one head).
  7. 7th October 2025A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
  8. 8th October 2025Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  9. 9th October 2025Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  10. 10th October 2025A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
  11. 11th October 2025A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  12. 12th October 2025A class interval 0-10 has frequency 6. Find frequency x midpoint.
  13. 13th October 2025What is wrong with the question 'How old are you and do you smoke?'
  14. 14th October 2025What does a moving average smooth out in seasonal data, and what does the result reveal?
  15. 15th October 2025P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  16. 16th October 2025A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  17. 17th October 2025A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  18. 18th October 2025Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  19. 19th October 2025A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  20. 20th October 2025A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
  21. 21st October 2025Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  22. 22nd October 2025Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  23. 23rd October 2025A base year value is 40 and this year's value is 50. Find the index number.
  24. 24th October 2025A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  25. 25th October 2025A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  26. 26th October 2025On a tree diagram, what do you do to find the probability of a single path through the branches?
  27. 27th October 2025On 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?
  28. 28th October 2025Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  29. 29th October 2025A 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.
  30. 30th October 2025Find the mean of 4, 7, 9, 12, 18.
  31. 31st October 2025A 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.

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