Daily Practice · Foundation

December 1995 5-a-day

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December 1995

31 sheets · 155 questions · Foundation tier

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Every sheet in December 1995

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 1995A time series graph generally slopes upward from left to right over several years. What is this called?
  2. 2nd December 1995Out 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 December 1995In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  4. 4th December 1995A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  5. 5th December 1995The 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 December 1995Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  7. 7th December 1995Find the 4-point moving average of 8, 12, 16, 20.
  8. 8th December 1995Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  9. 9th December 1995A 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 December 1995Box 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 December 1995A 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 December 1995A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  13. 13th December 1995A 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 December 1995A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  15. 15th December 1995Shop 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 December 1995The 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 December 1995A fair six-sided dice is rolled. What is P(rolling a 5)?
  18. 18th December 1995A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  19. 19th December 1995Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  20. 20th December 1995Country 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 December 1995A 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 December 1995A 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 December 1995Find the range of 22, 9, 31, 14, 6, 27.
  24. 24th December 1995A 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 December 1995In 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 December 1995Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  27. 27th December 1995A 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 December 1995In a Venn diagram, what does the region where two circles overlap represent?
  29. 29th December 1995A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  30. 30th December 1995A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  31. 31st December 1995A 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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