Daily Practice · Foundation

September 1998 5-a-day

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September 1998

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' September 1998 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 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 September 1998A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
  2. 2nd September 1998A pyramid has a wide base and a narrow top. What does this suggest about the population?
  3. 3rd September 1998A distribution has a long tail of high values on the right. What type of skew is this?
  4. 4th September 1998A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
  5. 5th September 1998Find the mode of 5, 6, 5, 8, 6, 6, 9.
  6. 6th September 1998State one disadvantage of quota sampling.
  7. 7th September 1998Give one reason why participants should be assigned to groups at random.
  8. 8th September 1998A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
  9. 9th September 1998A pie chart represents 60 people. What angle represents 1 person?
  10. 10th September 1998A 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?
  11. 11th September 1998Using the line of best fit from the previous question, estimate the y-value when x = 6.
  12. 12th September 1998Define correlation in your own words.
  13. 13th September 1998The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
  14. 14th September 1998State one change a researcher might make to a questionnaire as a result of a pilot survey.
  15. 15th September 1998State whether 'shoe size' is discrete or continuous, and explain why.
  16. 16th September 1998Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  17. 17th September 1998A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  18. 18th September 1998A 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?
  19. 19th September 1998Using the diagram from the question above, what is the mode?
  20. 20th September 1998A 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?
  21. 21st September 1998A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  22. 22nd September 1998What percentage of data lies below the 40th percentile?
  23. 23rd September 1998Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  24. 24th September 1998A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  25. 25th September 1998A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  26. 26th September 1998For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  27. 27th September 1998A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  28. 28th September 1998Using the two-coin sample space, find P(exactly one head).
  29. 29th September 1998A 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.
  30. 30th September 1998Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.

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