Daily Practice · Foundation

January 2016 5-a-day

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January 2016

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' January 2016 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in January 2016

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

  1. 1st January 2016The 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.
  2. 2nd January 2016Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  3. 3rd January 2016Find the 4-point moving average of 8, 12, 16, 20.
  4. 4th January 2016Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  5. 5th January 2016A 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.
  6. 6th January 2016Box 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?
  7. 7th January 2016A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  8. 8th January 2016A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  9. 9th January 2016A 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.
  10. 10th January 2016A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  11. 11th January 2016Shop 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?
  12. 12th January 2016The 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.
  13. 13th January 2016A fair six-sided dice is rolled. What is P(rolling a 5)?
  14. 14th January 2016A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  15. 15th January 2016Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  16. 16th January 2016Country 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?
  17. 17th January 2016A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  18. 18th January 2016A 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.
  19. 19th January 2016Find the range of 22, 9, 31, 14, 6, 27.
  20. 20th January 2016A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  21. 21st January 2016In 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?
  22. 22nd January 2016Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  23. 23rd January 2016A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  24. 24th January 2016In a Venn diagram, what does the region where two circles overlap represent?
  25. 25th January 2016A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  26. 26th January 2016A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  27. 27th January 2016A 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.
  28. 28th January 2016A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  29. 29th January 2016Is 'number of pets owned' discrete or continuous data?
  30. 30th January 2016Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  31. 31st January 2016A frequency table for test scores out of 10 shows: score 6 has frequency 5, score 7 has frequency 8, score 8 has frequency x, score 9 has frequency 3, and the total frequency is 25. Find x.

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