Daily Practice · Foundation
June 2008 5-a-day
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The batch download puts all 2 tiers' June 2008 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2008P(rain) = 0.3 and P(snow) = 0.05 on a given day, and rain and snow are mutually exclusive that day. Find P(rain or snow).
- 2nd June 2008Using the same histogram, how many students scored between 10 and 30 marks?
- 3rd June 2008A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 4th June 2008The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 5th June 2008Explain why a crude rate is more useful than a raw total, such as the total number of deaths, when comparing two towns of different sizes.
- 6th June 2008A factory has 400 workers: 160 in production, 120 in packing and 120 in admin. A stratified sample of 50 workers is needed. Find how many should be sampled from packing.
- 7th June 2008Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 8th June 2008The mean rainfall in April was 45 mm with a range of 20 mm; in May it was 45 mm with a range of 8 mm. Compare April and May.
- 9th June 2008A cost index for electricity, relative to the same base year, was 120 in 2021 and 150 in 2023. Find the percentage increase in the cost of electricity from 2021 to 2023 (not from the base year).
- 10th June 2008The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 11th June 2008The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 12th June 2008A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 13th June 2008In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 14th June 2008A data set has mean 12, median 12, mode 12. Describe its skew.
- 15th June 2008A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 16th June 2008The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 17th June 2008State one advantage of random sampling.
- 18th June 2008What is meant by a control variable?
- 19th June 2008Values of 12, 18, 25, 31, 9, 22, 15 are grouped using intervals 0 <= x < 10, 10 <= x < 20, 20 <= x < 30, 30 <= x < 40. State the frequency of the interval 10 <= x < 20.
- 20th June 2008A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 21st June 2008Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 22nd June 2008Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 23rd June 2008Two variables have a correlation coefficient close to 0. What does this suggest?
- 24th June 2008The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 25th June 2008A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 26th June 2008A researcher records the exact temperature of 30 cups of tea to the nearest 0.1 degrees C. State the type of data, giving two features.
- 27th June 2008Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 28th June 2008The number of pets owned by 15 households, recorded as collected, is: 0,1,2,1,0,3,1,2,0,1,1,2,0,1,2. Complete a frequency table for the number of pets and state the total frequency.
- 29th June 2008A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 30th June 2008Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?