Daily Practice · Foundation

May 2020 5-a-day

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May 2020

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' May 2020 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in May 2020

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

  1. 1st May 2020A 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?
  2. 2nd May 2020Using the diagram from the question above, what is the mode?
  3. 3rd May 2020A 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?
  4. 4th May 2020A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
  5. 5th May 2020What percentage of data lies below the 40th percentile?
  6. 6th May 2020Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
  7. 7th May 2020A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
  8. 8th May 2020A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  9. 9th May 2020For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  10. 10th May 2020A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  11. 11th May 2020Using the two-coin sample space, find P(exactly one head).
  12. 12th May 2020A 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.
  13. 13th May 2020Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  14. 14th May 2020Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  15. 15th May 2020A 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).
  16. 16th May 2020A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  17. 17th May 2020A class interval 0-10 has frequency 6. Find frequency x midpoint.
  18. 18th May 2020What is wrong with the question 'How old are you and do you smoke?'
  19. 19th May 2020What does a moving average smooth out in seasonal data, and what does the result reveal?
  20. 20th May 2020P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  21. 21st May 2020A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  22. 22nd May 2020A 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?
  23. 23rd May 2020Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  24. 24th May 2020A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  25. 25th May 2020A 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.
  26. 26th May 2020Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  27. 27th May 2020Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  28. 28th May 2020A base year value is 40 and this year's value is 50. Find the index number.
  29. 29th May 2020A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  30. 30th May 2020A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  31. 31st May 2020On a tree diagram, what do you do to find the probability of a single path through the branches?

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