Daily Practice · Foundation

June 2022 5-a-day

← Today's Foundation sheet

June 2022

30 sheets · 150 questions · Foundation tier

Printing for a group?

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

Every sheet in June 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 June 2022A pictogram has a key of 1 symbol = 4 people. A town has 22 people who play chess. How many symbols, including any part-symbol, should be drawn?
  2. 2nd June 2022Using two fair six-sided dice added together, how many ways can you score a total of 7?
  3. 3rd June 2022Find the midpoint of the class interval 10-20.
  4. 4th June 2022A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.
  5. 5th June 2022Out of 200 people who ate a certain meal, 10 became ill. What is the risk of becoming ill, as a fraction in its simplest form?
  6. 6th June 2022A class has 12 boys and 8 girls. One student, a girl, leaves the room. A second student is then chosen at random from those remaining. Find P(second student chosen is a girl given the first was a girl).
  7. 7th June 2022A newspaper bar chart showing company profit over 5 years has no vertical axis labels or scale, just bars of different heights. Explain the problem with this.
  8. 8th June 2022Find the midpoint of the class interval 30-50.
  9. 9th June 2022What is wrong with the question 'Do you not think school lunches are too expensive?'
  10. 10th June 2022Find the 3-point moving average of 14, 18, 20.
  11. 11th June 2022A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
  12. 12th June 2022A 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?
  13. 13th June 2022Name the five values needed to draw a box plot.
  14. 14th June 2022Give one reason you might choose to keep an outlier in a data set rather than remove it.
  15. 15th June 2022A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
  16. 16th June 2022A 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?
  17. 17th June 2022A 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.
  18. 18th June 2022Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
  19. 19th June 2022A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
  20. 20th June 2022A fair coin is flipped once. What is P(heads)?
  21. 21st June 2022Student 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?
  22. 22nd June 2022A coin is flipped twice. Find the probability of getting two heads.
  23. 23rd June 2022A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
  24. 24th June 2022A distribution has mean = mode = median. What does this suggest about its shape?
  25. 25th June 2022A 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.
  26. 26th June 2022A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
  27. 27th June 2022A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
  28. 28th June 2022What is meant by the independent variable in an experiment?
  29. 29th June 2022Why must class intervals in a grouped frequency table not overlap?
  30. 30th June 2022Chart 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?

The same month at another level