Daily Practice · Foundation

September 2023 5-a-day

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September 2023

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' September 2023 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 2023

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

  1. 1st September 2023What is a pilot survey?
  2. 2nd September 2023Is 'height of a plant in cm' discrete or continuous data?
  3. 3rd September 2023Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
  4. 4th September 2023Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
  5. 5th September 2023A bar chart uses a scale where each small square represents 2 people. A bar is 7 squares tall. How many people does the bar represent?
  6. 6th September 2023A stem-and-leaf row, with key '3|1 means 31', is '3|0 2 4 4 7 9'. Find the median of these six values.
  7. 7th September 2023A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
  8. 8th September 2023A choropleth map of rainfall uses two different hues (for example yellow to red) rather than one hue getting darker. Why can this style of shading be a problem?
  9. 9th September 2023In a class of 30 students, a student's mark is at the 90th percentile. Roughly how many students scored less than or equal to that mark?
  10. 10th September 2023Data on 200 students' exam scores is in a spreadsheet. Give one advantage of using a spreadsheet rather than calculating the mean and range by hand.
  11. 11th September 2023Which stage of the statistical enquiry cycle comes immediately after collecting the data?
  12. 12th September 2023A student uses figures from a government website for her project. Is this primary or secondary data?
  13. 13th September 2023Find the median of: 3, 5, 8, 10.
  14. 14th September 2023Two rows of a pictogram show 4.5 symbols and 3.5 symbols, with a key of 1 symbol = 20 pounds. Work out the combined total for both rows.
  15. 15th September 2023Using two fair six-sided dice added together, find P(total is 7).
  16. 16th September 2023Two frequency polygons are drawn on the same axes for boys' and girls' test scores. What feature of the graphs shows which group generally scored higher?
  17. 17th September 2023A time series graph generally slopes upward from left to right over several years. What is this called?
  18. 18th September 2023Out of 600 drivers who used a phone while driving, 24 had an accident that year, compared with 9 out of 900 drivers who did not use a phone. Calculate the risk of an accident for each group.
  19. 19th September 2023In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  20. 20th September 2023A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  21. 21st September 2023The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
  22. 22nd September 2023Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  23. 23rd September 2023Find the 4-point moving average of 8, 12, 16, 20.
  24. 24th September 2023Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  25. 25th September 2023A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
  26. 26th September 2023Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
  27. 27th September 2023A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  28. 28th September 2023A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  29. 29th September 2023A college has 120 Maths students, 80 Science students and 100 English students (300 total). A stratified sample of size 60 is needed. Find the number sampled from each subject.
  30. 30th September 2023A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.

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