Daily Practice · Foundation

December 2009 5-a-day

← Today's Foundation sheet

December 2009

31 sheets · 155 questions · Foundation tier

Printing for a group?

The batch download puts all 2 tiers' December 2009 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in December 2009

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

  1. 1st December 2009On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  2. 2nd December 2009A 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.
  3. 3rd December 2009A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  4. 4th December 2009Name the first stage of the statistical enquiry cycle.
  5. 5th December 2009State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  6. 6th December 2009A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  7. 7th December 2009A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  8. 8th December 2009Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  9. 9th December 2009A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
  10. 10th December 2009On a time series graph, what is always plotted on the horizontal axis?
  11. 11th December 2009Group 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.
  12. 12th December 2009A 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).
  13. 13th December 2009A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
  14. 14th December 2009A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
  15. 15th December 2009Explain why a pilot survey should be carried out before the full survey is sent out.
  16. 16th December 2009Find the 4-point moving average of 12, 16, 20, 10.
  17. 17th December 2009P(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).
  18. 18th December 2009Using the same histogram, how many students scored between 10 and 30 marks?
  19. 19th December 2009A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
  20. 20th December 2009The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
  21. 21st December 2009Explain 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.
  22. 22nd December 2009A 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.
  23. 23rd December 2009Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
  24. 24th December 2009The 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.
  25. 25th December 2009A 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).
  26. 26th December 2009The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
  27. 27th December 2009The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
  28. 28th December 2009A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
  29. 29th December 2009In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
  30. 30th December 2009A data set has mean 12, median 12, mode 12. Describe its skew.
  31. 31st December 2009A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.

The same month at another level