Daily Practice · Foundation

April 2025 5-a-day

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April 2025

30 sheets · 150 questions · Foundation tier

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The batch download puts all 2 tiers' April 2025 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.

Every sheet in April 2025

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st April 2025Using two fair six-sided dice added together, find P(total is 7).
  2. 2nd April 2025Two frequency polygons are drawn on the same axes for boys' and girls' test scores. What feature of the graphs shows which group generally scored higher?
  3. 3rd April 2025A time series graph generally slopes upward from left to right over several years. What is this called?
  4. 4th April 2025Out of 600 drivers who used a phone while driving, 24 had an accident that year, compared with 9 out of 900 drivers who did not use a phone. Calculate the risk of an accident for each group.
  5. 5th April 2025In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
  6. 6th April 2025A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
  7. 7th April 2025The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
  8. 8th April 2025Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
  9. 9th April 2025Find the 4-point moving average of 8, 12, 16, 20.
  10. 10th April 2025Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
  11. 11th April 2025A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
  12. 12th April 2025Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
  13. 13th April 2025A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
  14. 14th April 2025A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
  15. 15th April 2025A college has 120 Maths students, 80 Science students and 100 English students (300 total). A stratified sample of size 60 is needed. Find the number sampled from each subject.
  16. 16th April 2025A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
  17. 17th April 2025Shop A's daily sales have an IQR of 40 pounds and Shop B's have an IQR of 15 pounds. Which shop has more variable daily sales?
  18. 18th April 2025The price of milk was 0.80 pounds in the base year and 0.92 pounds this year. Find the index number for milk this year.
  19. 19th April 2025A fair six-sided dice is rolled. What is P(rolling a 5)?
  20. 20th April 2025A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
  21. 21st April 2025Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
  22. 22nd April 2025Country A's pyramid has a wide base and narrow top; Country B's has a narrow base and a wide middle/top. Which country most likely has the higher birth rate?
  23. 23rd April 2025A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
  24. 24th April 2025A random sample of 50 packets of crisps from a production run of 8000 found 3 were underweight. Estimate how many packets in the whole run are underweight.
  25. 25th April 2025Find the range of 22, 9, 31, 14, 6, 27.
  26. 26th April 2025A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
  27. 27th April 2025In a medicine trial, half the patients receive the real drug and half receive a dummy pill, and neither the patients nor the doctors know who received which until after results are recorded. What is this type of trial called, and why is it used?
  28. 28th April 2025Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
  29. 29th April 2025A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
  30. 30th April 2025In a Venn diagram, what does the region where two circles overlap represent?

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