Daily Practice · Foundation

July 2020 5-a-day

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July 2020

31 sheets · 155 questions · Foundation tier

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

Every sheet in July 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 July 2020A box has 4 chocolate and 6 plain biscuits. One biscuit is eaten (it was chocolate), then a second is taken at random. Find P(second is chocolate given first was chocolate).
  2. 2nd July 2020A pictogram uses one whole apple symbol to represent 10 apples sold, but one row shows a half apple symbol with no key given for partial symbols. Why could this be misleading?
  3. 3rd July 2020Find the midpoint of the class interval 10-20.
  4. 4th July 2020A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
  5. 5th July 2020Find the 3-point moving average of 10, 14, 18.
  6. 6th July 2020A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  7. 7th July 2020A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  8. 8th July 2020A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  9. 9th July 2020A data set of ages is: 12, 13, 12, 14, 13, 99. Which value is most likely an outlier?
  10. 10th July 2020A city's population grows from 50,000 to 52,000 in one year. Find the percentage rate of change.
  11. 11th July 2020A company has 60 male and 90 female employees (150 total). A stratified sample of 30 employees is taken. How many males should be sampled?
  12. 12th July 2020Using the same table (0:4, 1:10, 2:4, 3:2), find the total number of students.
  13. 13th July 2020Two classes sit the same test. Class P: mean 70, range 10. Class Q: mean 55, range 30. Write a full comparison.
  14. 14th July 2020An item has an index number of 88 compared to its base year. State whether the value has increased or decreased, and by what percentage.
  15. 15th July 2020An event has a probability of 0.2 of happening. What is the probability that it does not happen?
  16. 16th July 2020Using the relative frequency from the spinner above, estimate how many times it would land on blue in 300 spins.
  17. 17th July 2020A spinner has P(win) = 0.3. It is spun twice, independently. Find the probability of winning both times.
  18. 18th July 2020On a population pyramid, which axis shows the age groups?
  19. 19th July 2020A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
  20. 20th July 2020A survey of 30 shoppers out of 900 in a store found the mean amount spent was 18.50 pounds. What is the best estimate of the mean amount spent by all 900 shoppers?
  21. 21st July 2020Find the median of 8, 3, 15, 3, 10.
  22. 22nd July 2020A school of 600 students wants a sample of 30. A teacher decides to only survey students in her own class of 30. State one problem with this method.
  23. 23rd July 2020A scientist tests a new plant food but only uses it on the healthiest-looking plants. Explain why this is a flawed design.
  24. 24th July 2020The frequencies for four class intervals are 6, 9, 11, 4. Find the total number of data values.
  25. 25th July 2020In a pie chart representing 120 people, 30 people chose 'Yes'. What angle represents 'Yes'?
  26. 26th July 2020A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
  27. 27th July 2020A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
  28. 28th July 2020A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
  29. 29th July 2020Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?
  30. 30th July 2020What is a pilot survey?
  31. 31st July 2020Is 'height of a plant in cm' discrete or continuous data?

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