Daily Practice · Foundation

August 2018 5-a-day

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August 2018

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' August 2018 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in August 2018

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

  1. 1st August 2018A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
  2. 2nd August 2018A histogram for exam scores has bars of equal width 10 marks, covering 0-10, 10-20, 20-30, 30-40, with heights 2, 8, 15, 5. How many students took the exam?
  3. 3rd August 2018Name the five values needed to draw a box plot.
  4. 4th August 2018Give one reason you might choose to keep an outlier in a data set rather than remove it.
  5. 5th August 2018A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
  6. 6th August 2018A youth club has 45 members under 13 and 75 members aged 13 to 17 (120 total). A stratified sample of 40 members is needed. How many aged 13 to 17 should be sampled?
  7. 7th August 2018A different table shows test scores out of 5 for 30 students: 1 (freq 3), 2 (freq 5), 3 (freq 9), 4 (freq 8), 5 (freq 5). Find the mean score.
  8. 8th August 2018Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
  9. 9th August 2018A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
  10. 10th August 2018A fair coin is flipped once. What is P(heads)?
  11. 11th August 2018Student A rolls a dice 20 times and gets a 6 four times. Student B rolls the same dice 300 times and gets a 6 forty-eight times. Whose relative frequency is a more reliable estimate of the true probability, and what is it?
  12. 12th August 2018A coin is flipped twice. Find the probability of getting two heads.
  13. 13th August 2018A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
  14. 14th August 2018A distribution has mean = mode = median. What does this suggest about its shape?
  15. 15th August 2018A garden centre sampled 45 out of 3000 trees and found 40 had survived the winter. Estimate how many of the 3000 trees survived the winter.
  16. 16th August 2018A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
  17. 17th August 2018A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
  18. 18th August 2018What is meant by the independent variable in an experiment?
  19. 19th August 2018Why must class intervals in a grouped frequency table not overlap?
  20. 20th August 2018Chart A represents 80 votes and has a 'Green Party' sector of 45 degrees. Chart B represents 150 votes and has a 'Green Party' sector of 30 degrees. Which chart represents more actual Green Party votes?
  21. 21st August 2018Using the pupils in the previous question, find P(likes football only).
  22. 22nd August 2018A line of best fit passes through the points (0, 4) and (10, 24). Find its gradient.
  23. 23rd August 2018What word describes a situation where one variable directly causes a change in another?
  24. 24th August 2018The Spearman's rank correlation coefficient between hours spent watching TV and test score is rs = -0.4. Describe the strength and direction of the correlation.
  25. 25th August 2018Give one reason a researcher would carry out a pilot survey.
  26. 26th August 2018Is 'favourite ice cream flavour' qualitative or quantitative data?
  27. 27th August 2018Group A has 10 items with mean 50. Group B has 5 items with mean 80. Find the combined mean.
  28. 28th August 2018The frequencies for four categories are 8, 5, 12, 3. What is the total number of data items?
  29. 29th August 2018A composite bar for Year 7 shows Boys 20 stacked below Girls, with a total bar height of 45. How many girls are there?
  30. 30th August 2018A back-to-back stem-and-leaf diagram compares two classes' test scores. For stem 7, Class A (left side) has 3 leaves and Class B (right side) has 4 leaves. Which class had more students scoring in the 70s?
  31. 31st August 2018On a cumulative frequency graph, what do you plot each cumulative frequency against?

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