Daily Practice · Foundation
July 2024 5-a-day
Printing for a group?
The batch download puts all 2 tiers' July 2024 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in July 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2024Find the 4-point moving average of 8, 12, 16, 20.
- 2nd July 2024Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
- 3rd July 2024A 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.
- 4th July 2024Box 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?
- 5th July 2024A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
- 6th July 2024A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
- 7th July 2024A 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.
- 8th July 2024A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
- 9th July 2024Shop 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?
- 10th July 2024The 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.
- 11th July 2024A fair six-sided dice is rolled. What is P(rolling a 5)?
- 12th July 2024A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
- 13th July 2024Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
- 14th July 2024Country 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?
- 15th July 2024A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
- 16th July 2024A 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.
- 17th July 2024Find the range of 22, 9, 31, 14, 6, 27.
- 18th July 2024A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
- 19th July 2024In 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?
- 20th July 2024Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
- 21st July 2024A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
- 22nd July 2024In a Venn diagram, what does the region where two circles overlap represent?
- 23rd July 2024A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
- 24th July 2024A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
- 25th July 2024A researcher finds rs = 0.99 between a town's number of ice cream vans and its number of sunburn cases, and concludes the vans cause sunburn. Explain why this conclusion may be wrong.
- 26th July 2024A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
- 27th July 2024Is 'number of pets owned' discrete or continuous data?
- 28th July 2024Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
- 29th July 2024A frequency table for test scores out of 10 shows: score 6 has frequency 5, score 7 has frequency 8, score 8 has frequency x, score 9 has frequency 3, and the total frequency is 25. Find x.
- 30th July 2024Two composite bars compare tea and coffee drinkers: Monday has a total of 60 drinks, of which 35 are tea; Tuesday has a total of 72 drinks, of which 40 are tea. On which day was a greater proportion of drinks tea?
- 31st July 2024A stem-and-leaf diagram has the row '1 | 4 7 9' with key '1|4 means 14'. What three data values does this row represent?