Daily Practice · Foundation

May 1998 5-a-day

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May 1998

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' May 1998 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in May 1998

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

  1. 1st May 1998A stem-and-leaf diagram has the row '1 | 4 7 9' with key '1|4 means 14'. What three data values does this row represent?
  2. 2nd May 1998Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  3. 3rd May 1998On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  4. 4th May 1998A cumulative frequency graph shows that a value of 18 corresponds to a cumulative frequency of 45 out of 60 total data points. Find the percentile.
  5. 5th May 1998A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  6. 6th May 1998Name the first stage of the statistical enquiry cycle.
  7. 7th May 1998State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  8. 8th May 1998A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  9. 9th May 1998A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  10. 10th May 1998Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  11. 11th May 1998A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
  12. 12th May 1998On a time series graph, what is always plotted on the horizontal axis?
  13. 13th May 1998Group A has a risk of 0.08 of an event happening; Group B has a risk of 0.02. Find the relative risk of Group A compared with Group B.
  14. 14th May 1998A bag has 3 red, 4 green and 5 blue balls (12 total). One ball is removed at random and is blue. A second ball is then removed. Find P(second ball is red given the first ball was blue).
  15. 15th May 1998A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
  16. 16th May 1998A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  17. 17th May 1998Explain why a pilot survey should be carried out before the full survey is sent out.
  18. 18th May 1998Find the 4-point moving average of 12, 16, 20, 10.
  19. 19th May 1998P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
  20. 20th May 1998Using the same histogram, how many students scored between 10 and 30 marks?
  21. 21st May 1998A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
  22. 22nd May 1998The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
  23. 23rd May 1998Explain why a crude rate is more useful than a raw total, such as the total number of deaths, when comparing two towns of different sizes.
  24. 24th May 1998A factory has 400 workers: 160 in production, 120 in packing and 120 in admin. A stratified sample of 50 workers is needed. Find how many should be sampled from packing.
  25. 25th May 1998Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
  26. 26th May 1998The mean rainfall in April was 45 mm with a range of 20 mm; in May it was 45 mm with a range of 8 mm. Compare April and May.
  27. 27th May 1998A cost index for electricity, relative to the same base year, was 120 in 2021 and 150 in 2023. Find the percentage increase in the cost of electricity from 2021 to 2023 (not from the base year).
  28. 28th May 1998The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
  29. 29th May 1998The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
  30. 30th May 1998A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
  31. 31st May 1998In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.

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