Daily Practice · Foundation

April 2000 5-a-day

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April 2000

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' April 2000 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in April 2000

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

  1. 1st April 2000State whether 'shoe size' is discrete or continuous, and explain why.
  2. 2nd April 2000Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
  3. 3rd April 2000A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
  4. 4th April 2000A 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?
  5. 5th April 2000Using the diagram from the question above, what is the mode?
  6. 6th April 2000A 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?
  7. 7th April 2000A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  8. 8th April 2000What percentage of data lies below the 40th percentile?
  9. 9th April 2000Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  10. 10th April 2000A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  11. 11th April 2000A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  12. 12th April 2000For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  13. 13th April 2000A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  14. 14th April 2000Using the two-coin sample space, find P(exactly one head).
  15. 15th April 2000A 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.
  16. 16th April 2000Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  17. 17th April 2000Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  18. 18th April 2000A 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).
  19. 19th April 2000A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  20. 20th April 2000A class interval 0-10 has frequency 6. Find frequency x midpoint.
  21. 21st April 2000What is wrong with the question 'How old are you and do you smoke?'
  22. 22nd April 2000What does a moving average smooth out in seasonal data, and what does the result reveal?
  23. 23rd April 2000P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  24. 24th April 2000A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  25. 25th April 2000A 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?
  26. 26th April 2000Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  27. 27th April 2000A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  28. 28th April 2000A 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.
  29. 29th April 2000Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  30. 30th April 2000Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.

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