Daily Practice · Foundation
March 2009 5-a-day
Printing for a group?
The batch download puts all 2 tiers' March 2009 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in March 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2009Two fair coins are flipped. How many equally likely outcomes are in the sample space?
- 2nd March 2009A frequency table has classes 0-10, 10-20, 20-30 with frequencies 3, 9, 6. State all three coordinates for the frequency polygon.
- 3rd March 2009On a time series graph, what is always plotted on the horizontal axis?
- 4th March 2009Group 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 March 2009A 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 March 2009A 3D pie chart is used to show market share. Explain why 3D charts can be misleading.
- 7th March 2009A table has class intervals with frequency x midpoint totals of 45, 120, 90 and frequencies 5, 8, 6. Find the estimated mean.
- 8th March 2009Explain why a pilot survey should be carried out before the full survey is sent out.
- 9th March 2009Find the 4-point moving average of 12, 16, 20, 10.
- 10th March 2009P(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 March 2009Using the same histogram, how many students scored between 10 and 30 marks?
- 12th March 2009A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 13th March 2009The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 14th March 2009Explain 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 March 2009A 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 March 2009Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 17th March 2009The 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 March 2009A 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 March 2009The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 20th March 2009The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 21st March 2009A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 22nd March 2009In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 23rd March 2009A data set has mean 12, median 12, mode 12. Describe its skew.
- 24th March 2009A 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 March 2009The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 26th March 2009State one advantage of random sampling.
- 27th March 2009What is meant by a control variable?
- 28th March 2009Values 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 March 2009A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 30th March 2009Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 31st March 2009Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.