Daily Practice · Foundation
August 2024 5-a-day
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The batch download puts all 2 tiers' August 2024 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2024Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.
- 2nd August 2024On a choropleth map shaded from white (lowest) to black (highest), a region is coloured mid-grey. What does this suggest about its value?
- 3rd August 2024A cumulative frequency graph shows that a value of 18 corresponds to a cumulative frequency of 45 out of 60 total data points. Find the percentile.
- 4th August 2024A column of 8 test scores is in cells D2 to D9. Give the formula for the mean score.
- 5th August 2024Name the first stage of the statistical enquiry cycle.
- 6th August 2024State one advantage secondary data has over primary data for a project on rainfall over the last 50 years.
- 7th August 2024A data set has Q1 = 22 and Q3 = 35. State the interquartile range and explain what it measures.
- 8th August 2024A pictogram key shows 1 symbol = 4 books. A row has 2 and a half symbols. How many books does the row represent?
- 9th August 2024Two fair coins are flipped. How many equally likely outcomes are in the sample space?
- 10th August 2024A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
- 11th August 2024On a time series graph, what is always plotted on the horizontal axis?
- 12th August 2024Group A has a risk of 0.08 of an event happening; Group B has a risk of 0.02. Find the relative risk of Group A compared with Group B.
- 13th August 2024A bag has 3 red, 4 green and 5 blue balls (12 total). One ball is removed at random and is blue. A second ball is then removed. Find P(second ball is red given the first ball was blue).
- 14th August 2024A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
- 15th August 2024A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 16th August 2024Explain why a pilot survey should be carried out before the full survey is sent out.
- 17th August 2024Find the 4-point moving average of 12, 16, 20, 10.
- 18th August 2024P(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).
- 19th August 2024Using the same histogram, how many students scored between 10 and 30 marks?
- 20th August 2024A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 21st August 2024The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 22nd August 2024Explain 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.
- 23rd August 2024A 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.
- 24th August 2024Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 25th August 2024The 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.
- 26th August 2024A 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).
- 27th August 2024The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 28th August 2024The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 29th August 2024A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 30th August 2024In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 31st August 2024A data set has mean 12, median 12, mode 12. Describe its skew.