Daily Practice · Foundation

January 2024 5-a-day

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January 2024

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' January 2024 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in January 2024

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

  1. 1st January 2024A 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?
  2. 2nd January 2024A 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.
  3. 3rd January 2024Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
  4. 4th January 2024A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
  5. 5th January 2024A fair coin is flipped once. What is P(heads)?
  6. 6th January 2024Student 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?
  7. 7th January 2024A coin is flipped twice. Find the probability of getting two heads.
  8. 8th January 2024A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
  9. 9th January 2024A distribution has mean = mode = median. What does this suggest about its shape?
  10. 10th January 2024A 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.
  11. 11th January 2024A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
  12. 12th January 2024A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
  13. 13th January 2024What is meant by the independent variable in an experiment?
  14. 14th January 2024Why must class intervals in a grouped frequency table not overlap?
  15. 15th January 2024Chart 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?
  16. 16th January 2024Using the pupils in the previous question, find P(likes football only).
  17. 17th January 2024A line of best fit passes through the points (0, 4) and (10, 24). Find its gradient.
  18. 18th January 2024What word describes a situation where one variable directly causes a change in another?
  19. 19th January 2024The 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.
  20. 20th January 2024Give one reason a researcher would carry out a pilot survey.
  21. 21st January 2024Is 'favourite ice cream flavour' qualitative or quantitative data?
  22. 22nd January 2024Group A has 10 items with mean 50. Group B has 5 items with mean 80. Find the combined mean.
  23. 23rd January 2024The frequencies for four categories are 8, 5, 12, 3. What is the total number of data items?
  24. 24th January 2024A composite bar for Year 7 shows Boys 20 stacked below Girls, with a total bar height of 45. How many girls are there?
  25. 25th January 2024A 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?
  26. 26th January 2024On a cumulative frequency graph, what do you plot each cumulative frequency against?
  27. 27th January 2024Give one limitation of choropleth maps.
  28. 28th January 2024In a data set of 200 values, at what position, counting from the smallest, would you expect to find the 25th percentile?
  29. 29th January 2024Which formula finds the highest value in the range E1 to E30?
  30. 30th January 2024A researcher draws a bar chart from her results. Which stage of the cycle is this?
  31. 31st January 2024Give one advantage of using a questionnaire to collect data.

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