Daily Practice · Foundation
July 2025 5-a-day
Printing for a group?
The batch download puts all 2 tiers' July 2025 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in July 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2025Give one disadvantage of an observation study.
- 2nd July 2025Two classes have the same median test score. Class A has IQR = 6 and Class B has IQR = 15. Which class's scores are more consistent, and why?
- 3rd July 2025A pictogram has a key of 1 symbol = 4 people. A town has 22 people who play chess. How many symbols, including any part-symbol, should be drawn?
- 4th July 2025Using two fair six-sided dice added together, how many ways can you score a total of 7?
- 5th July 2025Find the midpoint of the class interval 10-20.
- 6th July 2025A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.
- 7th July 2025Out of 200 people who ate a certain meal, 10 became ill. What is the risk of becoming ill, as a fraction in its simplest form?
- 8th July 2025A class has 12 boys and 8 girls. One student, a girl, leaves the room. A second student is then chosen at random from those remaining. Find P(second student chosen is a girl given the first was a girl).
- 9th July 2025A newspaper bar chart showing company profit over 5 years has no vertical axis labels or scale, just bars of different heights. Explain the problem with this.
- 10th July 2025Find the midpoint of the class interval 30-50.
- 11th July 2025What is wrong with the question 'Do you not think school lunches are too expensive?'
- 12th July 2025Find the 3-point moving average of 14, 18, 20.
- 13th July 2025A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 14th July 2025A histogram for exam scores has bars of equal width 10 marks, covering 0-10, 10-20, 20-30, 30-40, with heights 2, 8, 15, 5. How many students took the exam?
- 15th July 2025Name the five values needed to draw a box plot.
- 16th July 2025Give one reason you might choose to keep an outlier in a data set rather than remove it.
- 17th July 2025A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
- 18th July 2025A youth club has 45 members under 13 and 75 members aged 13 to 17 (120 total). A stratified sample of 40 members is needed. How many aged 13 to 17 should be sampled?
- 19th July 2025A different table shows test scores out of 5 for 30 students: 1 (freq 3), 2 (freq 5), 3 (freq 9), 4 (freq 8), 5 (freq 5). Find the mean score.
- 20th July 2025Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
- 21st July 2025A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
- 22nd July 2025A fair coin is flipped once. What is P(heads)?
- 23rd July 2025Student A rolls a dice 20 times and gets a 6 four times. Student B rolls the same dice 300 times and gets a 6 forty-eight times. Whose relative frequency is a more reliable estimate of the true probability, and what is it?
- 24th July 2025A coin is flipped twice. Find the probability of getting two heads.
- 25th July 2025A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
- 26th July 2025A distribution has mean = mode = median. What does this suggest about its shape?
- 27th July 2025A garden centre sampled 45 out of 3000 trees and found 40 had survived the winter. Estimate how many of the 3000 trees survived the winter.
- 28th July 2025A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
- 29th July 2025A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
- 30th July 2025What is meant by the independent variable in an experiment?
- 31st July 2025Why must class intervals in a grouped frequency table not overlap?