Daily Practice · Foundation
June 2026 5-a-day
Printing for a group?
The batch download puts all 2 tiers' June 2026 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2026In a trial, 3 out of 150 patients taking a new drug had side effects. Write this risk in '1 in n' form.
- 2nd June 2026A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
- 3rd June 2026A line graph's horizontal (time) axis has unequal gaps between the years labelled: 2010, 2011, 2015, 2016. Why could this mislead a reader?
- 4th June 2026The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
- 5th June 2026Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
- 6th June 2026A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 7th June 2026A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
- 8th June 2026State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 9th June 2026Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
- 10th June 2026A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
- 11th June 2026A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 12th June 2026A 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.
- 13th June 2026Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 14th June 2026Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 15th June 2026An index number is 140 with a base value of 20. Find this year's value.
- 16th June 2026A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 17th June 2026A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 18th June 2026A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 19th June 2026A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 20th June 2026A distribution has a long tail of high values on the right. What type of skew is this?
- 21st June 2026A 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.
- 22nd June 2026Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 23rd June 2026State one disadvantage of quota sampling.
- 24th June 2026Give one reason why participants should be assigned to groups at random.
- 25th June 2026A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 26th June 2026A pie chart represents 60 people. What angle represents 1 person?
- 27th June 2026A 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?
- 28th June 2026Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 29th June 2026Define correlation in your own words.
- 30th June 2026The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.