Daily Practice · Foundation

August 2017 5-a-day

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August 2017

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' August 2017 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in August 2017

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

  1. 1st August 2017Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  2. 2nd August 2017Country 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?
  3. 3rd August 2017A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  4. 4th August 2017A 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.
  5. 5th August 2017Find the range of 22, 9, 31, 14, 6, 27.
  6. 6th August 2017A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  7. 7th August 2017In 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?
  8. 8th August 2017Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  9. 9th August 2017A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  10. 10th August 2017In a Venn diagram, what does the region where two circles overlap represent?
  11. 11th August 2017A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  12. 12th August 2017A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  13. 13th August 2017A 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.
  14. 14th August 2017A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  15. 15th August 2017Is 'number of pets owned' discrete or continuous data?
  16. 16th August 2017Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  17. 17th August 2017A 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.
  18. 18th August 2017Two 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?
  19. 19th August 2017A 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?
  20. 20th August 2017Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  21. 21st August 2017On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  22. 22nd August 2017A 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.
  23. 23rd August 2017A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  24. 24th August 2017Name the first stage of the statistical enquiry cycle.
  25. 25th August 2017State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  26. 26th August 2017A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  27. 27th August 2017A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  28. 28th August 2017Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  29. 29th August 2017A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
  30. 30th August 2017On a time series graph, what is always plotted on the horizontal axis?
  31. 31st August 2017Group A has a risk of 0.08 of an event happening; Group B has a risk of 0.02. Find the relative risk of Group A compared with Group B.

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