Daily Practice · Foundation

September 2005 5-a-day

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September 2005

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' September 2005 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 2005

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 2005A 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?
  2. 2nd September 2005A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  3. 3rd September 2005What percentage of data lies below the 40th percentile?
  4. 4th September 2005Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  5. 5th September 2005A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  6. 6th September 2005A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  7. 7th September 2005For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  8. 8th September 2005A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  9. 9th September 2005Using the two-coin sample space, find P(exactly one head).
  10. 10th September 2005A 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.
  11. 11th September 2005Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  12. 12th September 2005Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  13. 13th September 2005A 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).
  14. 14th September 2005A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  15. 15th September 2005A class interval 0-10 has frequency 6. Find frequency x midpoint.
  16. 16th September 2005What is wrong with the question 'How old are you and do you smoke?'
  17. 17th September 2005What does a moving average smooth out in seasonal data, and what does the result reveal?
  18. 18th September 2005P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  19. 19th September 2005A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  20. 20th September 2005A 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?
  21. 21st September 2005Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  22. 22nd September 2005A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  23. 23rd September 2005A 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.
  24. 24th September 2005Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  25. 25th September 2005Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  26. 26th September 2005A base year value is 40 and this year's value is 50. Find the index number.
  27. 27th September 2005A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  28. 28th September 2005A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  29. 29th September 2005On a tree diagram, what do you do to find the probability of a single path through the branches?
  30. 30th September 2005On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?

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