Daily Practice · Foundation
September 2025 5-a-day
Printing for a group?
The batch download puts all 2 tiers' September 2025 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in September 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2025A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
- 2nd September 2025A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 3rd September 2025A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
- 4th September 2025Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 5th September 2025Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 6th September 2025An index number is 140 with a base value of 20. Find this year's value.
- 7th September 2025A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 8th September 2025A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 9th September 2025A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 10th September 2025A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 11th September 2025A distribution has a long tail of high values on the right. What type of skew is this?
- 12th September 2025A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
- 13th September 2025Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 14th September 2025State one disadvantage of quota sampling.
- 15th September 2025Give one reason why participants should be assigned to groups at random.
- 16th September 2025A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 17th September 2025A pie chart represents 60 people. What angle represents 1 person?
- 18th September 2025A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
- 19th September 2025Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 20th September 2025Define correlation in your own words.
- 21st September 2025The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 22nd September 2025State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 23rd September 2025State whether 'shoe size' is discrete or continuous, and explain why.
- 24th September 2025Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 25th September 2025A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 26th September 2025A composite bar chart shows exam grades at a school: the bar has a section from 0 to 10 for Grade 9-7, a section from 10 to 34 for Grade 6-4, and a section from 34 to 40 for Grade 3-1. How many students got Grade 6-4?
- 27th September 2025Using the diagram from the question above, what is the mode?
- 28th September 2025A cumulative frequency graph for 80 data values is used to estimate the median. At what cumulative frequency value do you read across to the curve?
- 29th September 2025A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 30th September 2025What percentage of data lies below the 40th percentile?