Daily Practice · Foundation

December 2022 5-a-day

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December 2022

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' December 2022 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in December 2022

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

  1. 1st December 2022In 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?
  2. 2nd December 2022Data 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.
  3. 3rd December 2022Which stage of the statistical enquiry cycle comes immediately after collecting the data?
  4. 4th December 2022A student uses figures from a government website for her project. Is this primary or secondary data?
  5. 5th December 2022Find the median of: 3, 5, 8, 10.
  6. 6th December 2022Two 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.
  7. 7th December 2022Using two fair six-sided dice added together, find P(total is 7).
  8. 8th December 2022Two 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?
  9. 9th December 2022A time series graph generally slopes upward from left to right over several years. What is this called?
  10. 10th December 2022Out 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.
  11. 11th December 2022In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  12. 12th December 2022A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  13. 13th December 2022The 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.
  14. 14th December 2022Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  15. 15th December 2022Find the 4-point moving average of 8, 12, 16, 20.
  16. 16th December 2022Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  17. 17th December 2022A 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.
  18. 18th December 2022Box 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?
  19. 19th December 2022A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  20. 20th December 2022A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  21. 21st December 2022A 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.
  22. 22nd December 2022A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  23. 23rd December 2022Shop A's daily sales have an IQR of 40 pounds and Shop B's have an IQR of 15 pounds. Which shop has more variable daily sales?
  24. 24th December 2022The price of milk was 0.80 pounds in the base year and 0.92 pounds this year. Find the index number for milk this year.
  25. 25th December 2022A fair six-sided dice is rolled. What is P(rolling a 5)?
  26. 26th December 2022A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  27. 27th December 2022Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  28. 28th December 2022Country A's pyramid has a wide base and narrow top; Country B's has a narrow base and a wide middle/top. Which country most likely has the higher birth rate?
  29. 29th December 2022A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  30. 30th December 2022A random sample of 50 packets of crisps from a production run of 8000 found 3 were underweight. Estimate how many packets in the whole run are underweight.
  31. 31st December 2022Find the range of 22, 9, 31, 14, 6, 27.

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