Daily Practice · Foundation

September 2020 5-a-day

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September 2020

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' September 2020 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in September 2020

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 2020A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  2. 2nd September 2020Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  3. 3rd September 2020Country 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?
  4. 4th September 2020A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  5. 5th September 2020A 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.
  6. 6th September 2020Find the range of 22, 9, 31, 14, 6, 27.
  7. 7th September 2020A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  8. 8th September 2020In a medicine trial, half the patients receive the real drug and half receive a dummy pill, and neither the patients nor the doctors know who received which until after results are recorded. What is this type of trial called, and why is it used?
  9. 9th September 2020Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  10. 10th September 2020A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  11. 11th September 2020In a Venn diagram, what does the region where two circles overlap represent?
  12. 12th September 2020A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  13. 13th September 2020A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  14. 14th September 2020A researcher finds rs = 0.99 between a town's number of ice cream vans and its number of sunburn cases, and concludes the vans cause sunburn. Explain why this conclusion may be wrong.
  15. 15th September 2020A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  16. 16th September 2020Is 'number of pets owned' discrete or continuous data?
  17. 17th September 2020Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  18. 18th September 2020A frequency table for test scores out of 10 shows: score 6 has frequency 5, score 7 has frequency 8, score 8 has frequency x, score 9 has frequency 3, and the total frequency is 25. Find x.
  19. 19th September 2020Two composite bars compare tea and coffee drinkers: Monday has a total of 60 drinks, of which 35 are tea; Tuesday has a total of 72 drinks, of which 40 are tea. On which day was a greater proportion of drinks tea?
  20. 20th September 2020A stem-and-leaf diagram has the row '1 | 4 7 9' with key '1|4 means 14'. What three data values does this row represent?
  21. 21st September 2020Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  22. 22nd September 2020On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  23. 23rd September 2020A cumulative frequency graph shows that a value of 18 corresponds to a cumulative frequency of 45 out of 60 total data points. Find the percentile.
  24. 24th September 2020A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  25. 25th September 2020Name the first stage of the statistical enquiry cycle.
  26. 26th September 2020State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  27. 27th September 2020A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  28. 28th September 2020A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  29. 29th September 2020Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  30. 30th September 2020A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.

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