Daily Practice · Foundation

October 2016 5-a-day

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October 2016

31 sheets · 155 questions · Foundation tier

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

Every sheet in October 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 October 2016Find the median of: 3, 5, 8, 10.
  2. 2nd October 2016Two rows of a pictogram show 4.5 symbols and 3.5 symbols, with a key of 1 symbol = 20 pounds. Work out the combined total for both rows.
  3. 3rd October 2016Using two fair six-sided dice added together, find P(total is 7).
  4. 4th October 2016Two 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?
  5. 5th October 2016A time series graph generally slopes upward from left to right over several years. What is this called?
  6. 6th October 2016Out 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.
  7. 7th October 2016In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  8. 8th October 2016A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  9. 9th October 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.
  10. 10th October 2016Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  11. 11th October 2016Find the 4-point moving average of 8, 12, 16, 20.
  12. 12th October 2016Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  13. 13th October 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.
  14. 14th October 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?
  15. 15th October 2016A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  16. 16th October 2016A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  17. 17th October 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.
  18. 18th October 2016A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  19. 19th October 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?
  20. 20th October 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.
  21. 21st October 2016A fair six-sided dice is rolled. What is P(rolling a 5)?
  22. 22nd October 2016A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  23. 23rd October 2016Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  24. 24th October 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?
  25. 25th October 2016A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  26. 26th October 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.
  27. 27th October 2016Find the range of 22, 9, 31, 14, 6, 27.
  28. 28th October 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.
  29. 29th October 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?
  30. 30th October 2016Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  31. 31st October 2016A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?

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