Daily Practice · Foundation

July 2015 5-a-day

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July 2015

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' July 2015 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in July 2015

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 2015A 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?
  2. 2nd July 2015Name the five values needed to draw a box plot.
  3. 3rd July 2015Give one reason you might choose to keep an outlier in a data set rather than remove it.
  4. 4th July 2015A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
  5. 5th July 2015A 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?
  6. 6th July 2015A 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.
  7. 7th July 2015Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
  8. 8th July 2015A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
  9. 9th July 2015A fair coin is flipped once. What is P(heads)?
  10. 10th July 2015Student 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?
  11. 11th July 2015A coin is flipped twice. Find the probability of getting two heads.
  12. 12th July 2015A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
  13. 13th July 2015A distribution has mean = mode = median. What does this suggest about its shape?
  14. 14th July 2015A 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.
  15. 15th July 2015A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
  16. 16th July 2015A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
  17. 17th July 2015What is meant by the independent variable in an experiment?
  18. 18th July 2015Why must class intervals in a grouped frequency table not overlap?
  19. 19th July 2015Chart 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?
  20. 20th July 2015Using the pupils in the previous question, find P(likes football only).
  21. 21st July 2015A line of best fit passes through the points (0, 4) and (10, 24). Find its gradient.
  22. 22nd July 2015What word describes a situation where one variable directly causes a change in another?
  23. 23rd July 2015The 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.
  24. 24th July 2015Give one reason a researcher would carry out a pilot survey.
  25. 25th July 2015Is 'favourite ice cream flavour' qualitative or quantitative data?
  26. 26th July 2015Group A has 10 items with mean 50. Group B has 5 items with mean 80. Find the combined mean.
  27. 27th July 2015The frequencies for four categories are 8, 5, 12, 3. What is the total number of data items?
  28. 28th July 2015A composite bar for Year 7 shows Boys 20 stacked below Girls, with a total bar height of 45. How many girls are there?
  29. 29th July 2015A 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?
  30. 30th July 2015On a cumulative frequency graph, what do you plot each cumulative frequency against?
  31. 31st July 2015Give one limitation of choropleth maps.

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