Daily Practice · Foundation

December 1997 5-a-day

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December 1997

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' December 1997 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in December 1997

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 1997A pie chart represents 60 people. What angle represents 1 person?
  2. 2nd December 1997A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
  3. 3rd December 1997Using the line of best fit from the previous question, estimate the y-value when x = 6.
  4. 4th December 1997Define correlation in your own words.
  5. 5th December 1997The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
  6. 6th December 1997State one change a researcher might make to a questionnaire as a result of a pilot survey.
  7. 7th December 1997State whether 'shoe size' is discrete or continuous, and explain why.
  8. 8th December 1997Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  9. 9th December 1997A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  10. 10th December 1997A composite bar chart shows exam grades at a school: the bar has a section from 0 to 10 for Grade 9-7, a section from 10 to 34 for Grade 6-4, and a section from 34 to 40 for Grade 3-1. How many students got Grade 6-4?
  11. 11th December 1997Using the diagram from the question above, what is the mode?
  12. 12th December 1997A cumulative frequency graph for 80 data values is used to estimate the median. At what cumulative frequency value do you read across to the curve?
  13. 13th December 1997A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  14. 14th December 1997What percentage of data lies below the 40th percentile?
  15. 15th December 1997Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  16. 16th December 1997A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  17. 17th December 1997A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  18. 18th December 1997For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  19. 19th December 1997A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  20. 20th December 1997Using the two-coin sample space, find P(exactly one head).
  21. 21st December 1997A 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.
  22. 22nd December 1997Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  23. 23rd December 1997Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  24. 24th December 1997A 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).
  25. 25th December 1997A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  26. 26th December 1997A class interval 0-10 has frequency 6. Find frequency x midpoint.
  27. 27th December 1997What is wrong with the question 'How old are you and do you smoke?'
  28. 28th December 1997What does a moving average smooth out in seasonal data, and what does the result reveal?
  29. 29th December 1997P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  30. 30th December 1997A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  31. 31st December 1997A 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?

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