Daily Practice · Foundation
June 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' June 2021 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in June 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2021A 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.
- 2nd June 2021Box 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?
- 3rd June 2021A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
- 4th June 2021A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
- 5th June 2021A 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.
- 6th June 2021A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
- 7th June 2021Shop 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?
- 8th June 2021The 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.
- 9th June 2021A fair six-sided dice is rolled. What is P(rolling a 5)?
- 10th June 2021A spinner is spun 80 times and lands on blue 20 times. Estimate the probability of landing on blue.
- 11th June 2021Three branches from a single point are labelled 0.4, 0.35 and x. Find x.
- 12th June 2021Country 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?
- 13th June 2021A shop's till receipts have mode 5 pounds, median 8 pounds, mean 15 pounds. State the type of skew and give a reason.
- 14th June 2021A 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.
- 15th June 2021Find the range of 22, 9, 31, 14, 6, 27.
- 16th June 2021A gym has 900 members. A sample of 45 is needed using systematic sampling, with a random start of 12. Find the 4th person selected.
- 17th June 2021In 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?
- 18th June 2021Using the data in the previous question (12, 18, 25, 31, 9, 22, 15), state the frequency of the interval 20 <= x < 30.
- 19th June 2021A sector has an angle of 72 degrees in a pie chart representing 50 people in total. How many people does this sector represent?
- 20th June 2021In a Venn diagram, what does the region where two circles overlap represent?
- 21st June 2021A scatter graph shows points that generally fall from top left to bottom right. What type of correlation does this show?
- 22nd June 2021A study finds a positive correlation between shoe size and reading ability in primary school children. Does having big feet cause better reading?
- 23rd June 2021A 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.
- 24th June 2021A tick-box question has the options '0-10', '10-20', '20-30'. What problem would a pilot survey likely identify with this?
- 25th June 2021Is 'number of pets owned' discrete or continuous data?
- 26th June 2021Group A has 6 items with mean 15. Group B has 9 items with mean 25. Find the combined mean.
- 27th June 2021A 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.
- 28th June 2021Two 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?
- 29th June 2021A 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?
- 30th June 2021Explain why a value read from a cumulative frequency graph, such as the median, is described as an estimate rather than an exact value.