Daily Practice · Foundation

July 2014 5-a-day

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July 2014

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' July 2014 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in July 2014

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

  1. 1st July 2014Country 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?
  2. 2nd July 2014A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  3. 3rd July 2014A 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.
  4. 4th July 2014Find the range of 22, 9, 31, 14, 6, 27.
  5. 5th July 2014A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  6. 6th July 2014In 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?
  7. 7th July 2014Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  8. 8th July 2014A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  9. 9th July 2014In a Venn diagram, what does the region where two circles overlap represent?
  10. 10th July 2014A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  11. 11th July 2014A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  12. 12th July 2014A 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.
  13. 13th July 2014A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  14. 14th July 2014Is 'number of pets owned' discrete or continuous data?
  15. 15th July 2014Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  16. 16th July 2014A 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.
  17. 17th July 2014Two 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?
  18. 18th July 2014A 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?
  19. 19th July 2014Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
  20. 20th July 2014On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
  21. 21st July 2014A 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.
  22. 22nd July 2014A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  23. 23rd July 2014Name the first stage of the statistical enquiry cycle.
  24. 24th July 2014State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  25. 25th July 2014A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  26. 26th July 2014A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  27. 27th July 2014Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  28. 28th July 2014A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
  29. 29th July 2014On a time series graph, what is always plotted on the horizontal axis?
  30. 30th July 2014Group 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.
  31. 31st July 2014A bag has 3 red, 4 green and 5 blue balls (12 total). One ball is removed at random and is blue. A second ball is then removed. Find P(second ball is red given the first ball was blue).

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