Daily Practice · Foundation
August 1997 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 1997 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1997Two fair coins are flipped. How many equally likely outcomes are in the sample space?
- 2nd August 1997A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
- 3rd August 1997On a time series graph, what is always plotted on the horizontal axis?
- 4th August 1997Group 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.
- 5th August 1997A 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).
- 6th August 1997A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
- 7th August 1997A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 8th August 1997Explain why a pilot survey should be carried out before the full survey is sent out.
- 9th August 1997Find the 4-point moving average of 12, 16, 20, 10.
- 10th August 1997P(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).
- 11th August 1997Using the same histogram, how many students scored between 10 and 30 marks?
- 12th August 1997A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 13th August 1997The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 14th August 1997Explain 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.
- 15th August 1997A 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.
- 16th August 1997Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 17th August 1997The 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.
- 18th August 1997A 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).
- 19th August 1997The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 20th August 1997The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 21st August 1997A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 22nd August 1997In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 23rd August 1997A data set has mean 12, median 12, mode 12. Describe its skew.
- 24th August 1997A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 25th August 1997The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 26th August 1997State one advantage of random sampling.
- 27th August 1997What is meant by a control variable?
- 28th August 1997Values 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.
- 29th August 1997A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 30th August 1997Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 31st August 1997Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.