Daily Practice · Foundation

August 2010 5-a-day

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August 2010

31 sheets · 155 questions · Foundation tier

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Every sheet in August 2010

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

  1. 1st August 2010Two 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?
  2. 2nd August 2010A time series graph generally slopes upward from left to right over several years. What is this called?
  3. 3rd August 2010Out 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.
  4. 4th August 2010In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  5. 5th August 2010A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  6. 6th August 2010The 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.
  7. 7th August 2010Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  8. 8th August 2010Find the 4-point moving average of 8, 12, 16, 20.
  9. 9th August 2010Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  10. 10th August 2010A 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.
  11. 11th August 2010Box 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?
  12. 12th August 2010A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  13. 13th August 2010A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  14. 14th August 2010A 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.
  15. 15th August 2010A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  16. 16th August 2010Shop 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?
  17. 17th August 2010The 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.
  18. 18th August 2010A fair six-sided dice is rolled. What is P(rolling a 5)?
  19. 19th August 2010A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  20. 20th August 2010Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  21. 21st August 2010Country 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?
  22. 22nd August 2010A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  23. 23rd August 2010A 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.
  24. 24th August 2010Find the range of 22, 9, 31, 14, 6, 27.
  25. 25th August 2010A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  26. 26th August 2010In 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?
  27. 27th August 2010Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  28. 28th August 2010A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  29. 29th August 2010In a Venn diagram, what does the region where two circles overlap represent?
  30. 30th August 2010A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  31. 31st August 2010A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?

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