Daily Practice · Foundation

December 2005 5-a-day

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December 2005

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' December 2005 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in December 2005

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

  1. 1st December 2005Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
  2. 2nd December 2005A 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?
  3. 3rd December 2005A 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.
  4. 4th December 2005A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
  5. 5th December 2005A 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?
  6. 6th December 2005In 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?
  7. 7th December 2005Data 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.
  8. 8th December 2005Which stage of the statistical enquiry cycle comes immediately after collecting the data?
  9. 9th December 2005A student uses figures from a government website for her project. Is this primary or secondary data?
  10. 10th December 2005Find the median of: 3, 5, 8, 10.
  11. 11th December 2005Two 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.
  12. 12th December 2005Using two fair six-sided dice added together, find P(total is 7).
  13. 13th December 2005Two 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?
  14. 14th December 2005A time series graph generally slopes upward from left to right over several years. What is this called?
  15. 15th December 2005Out 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.
  16. 16th December 2005In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  17. 17th December 2005A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  18. 18th December 2005The 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.
  19. 19th December 2005Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  20. 20th December 2005Find the 4-point moving average of 8, 12, 16, 20.
  21. 21st December 2005Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  22. 22nd December 2005A 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.
  23. 23rd December 2005Box 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?
  24. 24th December 2005A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  25. 25th December 2005A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  26. 26th December 2005A 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.
  27. 27th December 2005A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  28. 28th December 2005Shop 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?
  29. 29th December 2005The 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.
  30. 30th December 2005A fair six-sided dice is rolled. What is P(rolling a 5)?
  31. 31st December 2005A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.

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