Daily Practice · Foundation
July 2026 5-a-day
Printing for a group?
The batch download puts all 2 tiers' July 2026 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in July 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2026State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 2nd July 2026State whether 'shoe size' is discrete or continuous, and explain why.
- 3rd July 2026Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 4th July 2026A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 5th July 2026A 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?
- 6th July 2026Using the diagram from the question above, what is the mode?
- 7th July 2026A 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?
- 8th July 2026A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 9th July 2026What percentage of data lies below the 40th percentile?
- 10th July 2026Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 11th July 2026A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
- 12th July 2026A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
- 13th July 2026For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
- 14th July 2026A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
- 15th July 2026Using the two-coin sample space, find P(exactly one head).
- 16th July 2026A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
- 17th July 2026Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
- 18th July 2026Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
- 19th July 2026A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
- 20th July 2026A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
- 21st July 2026A class interval 0-10 has frequency 6. Find frequency x midpoint.
- 22nd July 2026What is wrong with the question 'How old are you and do you smoke?'
- 23rd July 2026What does a moving average smooth out in seasonal data, and what does the result reveal?
- 24th July 2026P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
- 25th July 2026A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 26th July 2026A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
- 27th July 2026Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
- 28th July 2026A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
- 29th July 2026A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
- 30th July 2026Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
- 31st July 2026Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.