Daily Practice · Foundation

January 2006 5-a-day

← Today's Foundation sheet

January 2006

31 sheets · 155 questions · Foundation tier

Printing for a group?

The batch download puts all 2 tiers' January 2006 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in January 2006

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

  1. 1st January 2006Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  2. 2nd January 2006Country 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 January 2006A 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 January 2006A 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 January 2006Find the range of 22, 9, 31, 14, 6, 27.
  6. 6th January 2006A 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 January 2006In 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 January 2006Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  9. 9th January 2006A 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 January 2006In a Venn diagram, what does the region where two circles overlap represent?
  11. 11th January 2006A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  12. 12th January 2006A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  13. 13th January 2006A 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 January 2006A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  15. 15th January 2006Is 'number of pets owned' discrete or continuous data?
  16. 16th January 2006Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  17. 17th January 2006A 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 January 2006Two 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 January 2006A 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 January 2006Explain 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 January 2006On 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 January 2006A 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 January 2006A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
  24. 24th January 2006Name the first stage of the statistical enquiry cycle.
  25. 25th January 2006State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
  26. 26th January 2006A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
  27. 27th January 2006A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
  28. 28th January 2006Two fair coins are flipped. How many equally likely outcomes are in the sample space?
  29. 29th January 2006A 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 January 2006On a time series graph, what is always plotted on the horizontal axis?
  31. 31st January 2006Group 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.

The same month at another level