Daily Practice · Foundation

July 2007 5-a-day

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July 2007

31 sheets · 155 questions · Foundation tier

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Every sheet in July 2007

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

  1. 1st July 2007A time series graph generally slopes upward from left to right over several years. What is this called?
  2. 2nd July 2007Out 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.
  3. 3rd July 2007In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  4. 4th July 2007A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  5. 5th July 2007The 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.
  6. 6th July 2007Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  7. 7th July 2007Find the 4-point moving average of 8, 12, 16, 20.
  8. 8th July 2007Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  9. 9th July 2007A 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.
  10. 10th July 2007Box 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?
  11. 11th July 2007A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  12. 12th July 2007A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  13. 13th July 2007A 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.
  14. 14th July 2007A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  15. 15th July 2007Shop 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?
  16. 16th July 2007The 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.
  17. 17th July 2007A fair six-sided dice is rolled. What is P(rolling a 5)?
  18. 18th July 2007A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  19. 19th July 2007Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  20. 20th July 2007Country 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?
  21. 21st July 2007A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  22. 22nd July 2007A 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.
  23. 23rd July 2007Find the range of 22, 9, 31, 14, 6, 27.
  24. 24th July 2007A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  25. 25th July 2007In 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?
  26. 26th July 2007Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  27. 27th July 2007A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  28. 28th July 2007In a Venn diagram, what does the region where two circles overlap represent?
  29. 29th July 2007A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  30. 30th July 2007A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  31. 31st July 2007A 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.

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