Daily Practice · Foundation

April 2011 5-a-day

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April 2011

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' April 2011 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in April 2011

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

  1. 1st April 2011A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
  2. 2nd April 2011A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
  3. 3rd April 2011A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
  4. 4th April 2011A data set of ages is: 12, 13, 12, 14, 13, 99. Which value is most likely an outlier?
  5. 5th April 2011A city's population grows from 50,000 to 52,000 in one year. Find the percentage rate of change.
  6. 6th April 2011A company has 60 male and 90 female employees (150 total). A stratified sample of 30 employees is taken. How many males should be sampled?
  7. 7th April 2011Using the same table (0:4, 1:10, 2:4, 3:2), find the total number of students.
  8. 8th April 2011Two classes sit the same test. Class P: mean 70, range 10. Class Q: mean 55, range 30. Write a full comparison.
  9. 9th April 2011An item has an index number of 88 compared to its base year. State whether the value has increased or decreased, and by what percentage.
  10. 10th April 2011An event has a probability of 0.2 of happening. What is the probability that it does not happen?
  11. 11th April 2011Using the relative frequency from the spinner above, estimate how many times it would land on blue in 300 spins.
  12. 12th April 2011A spinner has P(win) = 0.3. It is spun twice, independently. Find the probability of winning both times.
  13. 13th April 2011On a population pyramid, which axis shows the age groups?
  14. 14th April 2011A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
  15. 15th April 2011A survey of 30 shoppers out of 900 in a store found the mean amount spent was 18.50 pounds. What is the best estimate of the mean amount spent by all 900 shoppers?
  16. 16th April 2011Find the median of 8, 3, 15, 3, 10.
  17. 17th April 2011A school of 600 students wants a sample of 30. A teacher decides to only survey students in her own class of 30. State one problem with this method.
  18. 18th April 2011A scientist tests a new plant food but only uses it on the healthiest-looking plants. Explain why this is a flawed design.
  19. 19th April 2011The frequencies for four class intervals are 6, 9, 11, 4. Find the total number of data values.
  20. 20th April 2011In a pie chart representing 120 people, 30 people chose 'Yes'. What angle represents 'Yes'?
  21. 21st April 2011A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
  22. 22nd April 2011A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
  23. 23rd April 2011A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
  24. 24th April 2011Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?
  25. 25th April 2011What is a pilot survey?
  26. 26th April 2011Is 'height of a plant in cm' discrete or continuous data?
  27. 27th April 2011Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
  28. 28th April 2011Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
  29. 29th April 2011A 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?
  30. 30th April 2011A 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.

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