Daily Practice · Foundation
June 2025 5-a-day
Printing for a group?
The batch download puts all 2 tiers' June 2025 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2025A 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.
- 2nd June 2025Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 3rd June 2025The 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.
- 4th June 2025A 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).
- 5th June 2025The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 6th June 2025The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 7th June 2025A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 8th June 2025In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 9th June 2025A data set has mean 12, median 12, mode 12. Describe its skew.
- 10th June 2025A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 11th June 2025The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 12th June 2025State one advantage of random sampling.
- 13th June 2025What is meant by a control variable?
- 14th June 2025Values 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.
- 15th June 2025A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 16th June 2025Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 17th June 2025Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 18th June 2025Two variables have a correlation coefficient close to 0. What does this suggest?
- 19th June 2025The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 20th June 2025A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 21st June 2025A 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.
- 22nd June 2025Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 23rd June 2025The 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.
- 24th June 2025A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 25th June 2025Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 26th June 2025A cumulative frequency graph shows that a cumulative frequency of 45 corresponds to a value of 60 on the horizontal axis, out of 90 total data values. How many data values are above 60?
- 27th June 2025What is the purpose of the key on a choropleth map?
- 28th June 2025A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 29th June 2025Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 30th June 2025A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.