Daily Practice · Foundation

January 2009 5-a-day

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January 2009

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' January 2009 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in January 2009

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 2009Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
  2. 2nd January 2009Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
  3. 3rd January 2009A bar chart uses a scale where each small square represents 2 people. A bar is 7 squares tall. How many people does the bar represent?
  4. 4th January 2009A stem-and-leaf row, with key '3|1 means 31', is '3|0 2 4 4 7 9'. Find the median of these six values.
  5. 5th January 2009A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
  6. 6th January 2009A choropleth map of rainfall uses two different hues (for example yellow to red) rather than one hue getting darker. Why can this style of shading be a problem?
  7. 7th January 2009In a class of 30 students, a student's mark is at the 90th percentile. Roughly how many students scored less than or equal to that mark?
  8. 8th January 2009Data on 200 students' exam scores is in a spreadsheet. Give one advantage of using a spreadsheet rather than calculating the mean and range by hand.
  9. 9th January 2009Which stage of the statistical enquiry cycle comes immediately after collecting the data?
  10. 10th January 2009A student uses figures from a government website for her project. Is this primary or secondary data?
  11. 11th January 2009Find the median of: 3, 5, 8, 10.
  12. 12th January 2009Two rows of a pictogram show 4.5 symbols and 3.5 symbols, with a key of 1 symbol = 20 pounds. Work out the combined total for both rows.
  13. 13th January 2009Using two fair six-sided dice added together, find P(total is 7).
  14. 14th January 2009Two frequency polygons are drawn on the same axes for boys' and girls' test scores. What feature of the graphs shows which group generally scored higher?
  15. 15th January 2009A time series graph generally slopes upward from left to right over several years. What is this called?
  16. 16th January 2009Out of 600 drivers who used a phone while driving, 24 had an accident that year, compared with 9 out of 900 drivers who did not use a phone. Calculate the risk of an accident for each group.
  17. 17th January 2009In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  18. 18th January 2009A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  19. 19th January 2009The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
  20. 20th January 2009Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  21. 21st January 2009Find the 4-point moving average of 8, 12, 16, 20.
  22. 22nd January 2009Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  23. 23rd January 2009A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
  24. 24th January 2009Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
  25. 25th January 2009A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  26. 26th January 2009A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  27. 27th January 2009A college has 120 Maths students, 80 Science students and 100 English students (300 total). A stratified sample of size 60 is needed. Find the number sampled from each subject.
  28. 28th January 2009A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  29. 29th January 2009Shop A's daily sales have an IQR of 40 pounds and Shop B's have an IQR of 15 pounds. Which shop has more variable daily sales?
  30. 30th January 2009The price of milk was 0.80 pounds in the base year and 0.92 pounds this year. Find the index number for milk this year.
  31. 31st January 2009A fair six-sided dice is rolled. What is P(rolling a 5)?

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