Daily Practice · Foundation

March 1997 5-a-day

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March 1997

31 sheets · 155 questions · Foundation tier

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

Every sheet in March 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 March 1997Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  2. 2nd March 1997A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  3. 3rd March 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?
  4. 4th March 1997Using the diagram from the question above, what is the mode?
  5. 5th March 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?
  6. 6th March 1997A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  7. 7th March 1997What percentage of data lies below the 40th percentile?
  8. 8th March 1997Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  9. 9th March 1997A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  10. 10th March 1997A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  11. 11th March 1997For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  12. 12th March 1997A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  13. 13th March 1997Using the two-coin sample space, find P(exactly one head).
  14. 14th March 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.
  15. 15th March 1997Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  16. 16th March 1997Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  17. 17th March 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).
  18. 18th March 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?
  19. 19th March 1997A class interval 0-10 has frequency 6. Find frequency x midpoint.
  20. 20th March 1997What is wrong with the question 'How old are you and do you smoke?'
  21. 21st March 1997What does a moving average smooth out in seasonal data, and what does the result reveal?
  22. 22nd March 1997P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  23. 23rd March 1997A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  24. 24th March 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?
  25. 25th March 1997Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  26. 26th March 1997A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  27. 27th March 1997A 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.
  28. 28th March 1997Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  29. 29th March 1997Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  30. 30th March 1997A base year value is 40 and this year's value is 50. Find the index number.
  31. 31st March 1997A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?

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