Daily Practice · Foundation

April 1998 5-a-day

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April 1998

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' April 1998 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in April 1998

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

  1. 1st April 1998Find the 4-point moving average of 8, 12, 16, 20.
  2. 2nd April 1998Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  3. 3rd April 1998A 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.
  4. 4th April 1998Box 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?
  5. 5th April 1998A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  6. 6th April 1998A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  7. 7th April 1998A 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.
  8. 8th April 1998A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  9. 9th April 1998Shop 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?
  10. 10th April 1998The 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.
  11. 11th April 1998A fair six-sided dice is rolled. What is P(rolling a 5)?
  12. 12th April 1998A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  13. 13th April 1998Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  14. 14th April 1998Country 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?
  15. 15th April 1998A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  16. 16th April 1998A 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.
  17. 17th April 1998Find the range of 22, 9, 31, 14, 6, 27.
  18. 18th April 1998A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  19. 19th April 1998In 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?
  20. 20th April 1998Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  21. 21st April 1998A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  22. 22nd April 1998In a Venn diagram, what does the region where two circles overlap represent?
  23. 23rd April 1998A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
  24. 24th April 1998A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
  25. 25th April 1998A 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.
  26. 26th April 1998A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
  27. 27th April 1998Is 'number of pets owned' discrete or continuous data?
  28. 28th April 1998Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
  29. 29th April 1998A 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.
  30. 30th April 1998Two composite bars compare tea and coffee drinkers: Monday has a total of 60 drinks, of which 35 are tea; Tuesday has a total of 72 drinks, of which 40 are tea. On which day was a greater proportion of drinks tea?

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