Daily Practice · Foundation
February 2023 5-a-day
Printing for a group?
The batch download puts all 2 tiers' February 2023 sheets in a single PDF, each tier behind its own divider page - 56 sheets in one file.
Every sheet in February 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2023P(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 February 2023Using the same histogram, how many students scored between 10 and 30 marks?
- 3rd February 2023A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 4th February 2023The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 5th February 2023Explain 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 February 2023A 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 February 2023Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 8th February 2023The 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 February 2023A 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 February 2023The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 11th February 2023The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 12th February 2023A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 13th February 2023In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 14th February 2023A data set has mean 12, median 12, mode 12. Describe its skew.
- 15th February 2023A 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 February 2023The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 17th February 2023State one advantage of random sampling.
- 18th February 2023What is meant by a control variable?
- 19th February 2023Values 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 February 2023A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 21st February 2023Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 22nd February 2023Explain 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 February 2023Two variables have a correlation coefficient close to 0. What does this suggest?
- 24th February 2023The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 25th February 2023A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 26th February 2023A 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 February 2023Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 28th February 2023The 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.