Daily Practice · Foundation

September 2022 5-a-day

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September 2022

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' September 2022 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 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 September 2022A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
  2. 2nd September 2022For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
  3. 3rd September 2022A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
  4. 4th September 2022Using the two-coin sample space, find P(exactly one head).
  5. 5th September 2022A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
  6. 6th September 2022Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
  7. 7th September 2022Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
  8. 8th September 2022A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
  9. 9th September 2022A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
  10. 10th September 2022A class interval 0-10 has frequency 6. Find frequency x midpoint.
  11. 11th September 2022What is wrong with the question 'How old are you and do you smoke?'
  12. 12th September 2022What does a moving average smooth out in seasonal data, and what does the result reveal?
  13. 13th September 2022P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
  14. 14th September 2022A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
  15. 15th September 2022A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
  16. 16th September 2022Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
  17. 17th September 2022A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  18. 18th September 2022A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
  19. 19th September 2022Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  20. 20th September 2022Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  21. 21st September 2022A base year value is 40 and this year's value is 50. Find the index number.
  22. 22nd September 2022A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  23. 23rd September 2022A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  24. 24th September 2022On a tree diagram, what do you do to find the probability of a single path through the branches?
  25. 25th September 2022On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?
  26. 26th September 2022Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  27. 27th September 2022A sample of 25 students from a school of 500 found that 5 walk to school. Estimate how many of all 500 students walk to school.
  28. 28th September 2022Find the mean of 4, 7, 9, 12, 18.
  29. 29th September 2022A researcher wants a sample of 50 from a population of 500 using systematic sampling, with a random start of 4. List the first three people selected.
  30. 30th September 2022What is a control group used for?

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