Daily Practice · Foundation
December 2025 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2025 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2025A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
- 2nd December 2025A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
- 3rd December 2025A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
- 4th December 2025A data set of ages is: 12, 13, 12, 14, 13, 99. Which value is most likely an outlier?
- 5th December 2025A city's population grows from 50,000 to 52,000 in one year. Find the percentage rate of change.
- 6th December 2025A company has 60 male and 90 female employees (150 total). A stratified sample of 30 employees is taken. How many males should be sampled?
- 7th December 2025Using the same table (0:4, 1:10, 2:4, 3:2), find the total number of students.
- 8th December 2025Two classes sit the same test. Class P: mean 70, range 10. Class Q: mean 55, range 30. Write a full comparison.
- 9th December 2025An item has an index number of 88 compared to its base year. State whether the value has increased or decreased, and by what percentage.
- 10th December 2025An event has a probability of 0.2 of happening. What is the probability that it does not happen?
- 11th December 2025Using the relative frequency from the spinner above, estimate how many times it would land on blue in 300 spins.
- 12th December 2025A spinner has P(win) = 0.3. It is spun twice, independently. Find the probability of winning both times.
- 13th December 2025On a population pyramid, which axis shows the age groups?
- 14th December 2025A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
- 15th December 2025A survey of 30 shoppers out of 900 in a store found the mean amount spent was 18.50 pounds. What is the best estimate of the mean amount spent by all 900 shoppers?
- 16th December 2025Find the median of 8, 3, 15, 3, 10.
- 17th December 2025A school of 600 students wants a sample of 30. A teacher decides to only survey students in her own class of 30. State one problem with this method.
- 18th December 2025A scientist tests a new plant food but only uses it on the healthiest-looking plants. Explain why this is a flawed design.
- 19th December 2025The frequencies for four class intervals are 6, 9, 11, 4. Find the total number of data values.
- 20th December 2025In a pie chart representing 120 people, 30 people chose 'Yes'. What angle represents 'Yes'?
- 21st December 2025A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
- 22nd December 2025A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
- 23rd December 2025A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
- 24th December 2025Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?
- 25th December 2025What is a pilot survey?
- 26th December 2025Is 'height of a plant in cm' discrete or continuous data?
- 27th December 2025Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
- 28th December 2025Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
- 29th December 2025A bar chart uses a scale where each small square represents 2 people. A bar is 7 squares tall. How many people does the bar represent?
- 30th December 2025A stem-and-leaf row, with key '3|1 means 31', is '3|0 2 4 4 7 9'. Find the median of these six values.
- 31st December 2025A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.