Daily Practice · Foundation

October 2021 5-a-day

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October 2021

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' October 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in October 2021

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

  1. 1st October 2021A 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?
  2. 2nd October 2021On a cumulative frequency graph, what do you plot each cumulative frequency against?
  3. 3rd October 2021Give one limitation of choropleth maps.
  4. 4th October 2021In a data set of 200 values, at what position, counting from the smallest, would you expect to find the 25th percentile?
  5. 5th October 2021Which formula finds the highest value in the range E1 to E30?
  6. 6th October 2021A researcher draws a bar chart from her results. Which stage of the cycle is this?
  7. 7th October 2021Give one advantage of using a questionnaire to collect data.
  8. 8th October 2021Find the median of: 4, 7, 9, 12, 15.
  9. 9th October 2021A pictogram key shows 1 symbol = 10 pupils. A row has 3 full symbols. How many pupils does the row represent?
  10. 10th October 2021Two fair six-sided dice are rolled and the scores are multiplied together. How many cells are in the sample space diagram?
  11. 11th October 2021What value do you plot on the horizontal axis for each class of a frequency polygon?
  12. 12th October 2021A time series of monthly temperatures shows one May with a temperature far below every other May on record. What might this value be called?
  13. 13th October 2021In a trial, 3 out of 150 patients taking a new drug had side effects. Write this risk in '1 in n' form.
  14. 14th October 2021A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
  15. 15th October 2021A line graph's horizontal (time) axis has unequal gaps between the years labelled: 2010, 2011, 2015, 2016. Why could this mislead a reader?
  16. 16th October 2021The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
  17. 17th October 2021Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
  18. 18th October 2021A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
  19. 19th October 2021A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
  20. 20th October 2021State one reason why a histogram has no gaps between its bars, unlike a bar chart.
  21. 21st October 2021Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
  22. 22nd October 2021A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
  23. 23rd October 2021A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
  24. 24th October 2021A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
  25. 25th October 2021Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
  26. 26th October 2021Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
  27. 27th October 2021An index number is 140 with a base value of 20. Find this year's value.
  28. 28th October 2021A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
  29. 29th October 2021A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
  30. 30th October 2021A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
  31. 31st October 2021A pyramid has a wide base and a narrow top. What does this suggest about the population?

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