Daily Practice · Foundation
September 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' September 2021 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in September 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2021Find the 3-point moving average of 14, 18, 20.
- 2nd September 2021A card is drawn at random from a normal 52-card pack. Find P(drawing a King or a Queen).
- 3rd September 2021A 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?
- 4th September 2021Name the five values needed to draw a box plot.
- 5th September 2021Give one reason you might choose to keep an outlier in a data set rather than remove it.
- 6th September 2021A region records 90 crimes in a population of 45,000. Find the crude crime rate per 1000 people.
- 7th September 2021A 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?
- 8th September 2021A 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.
- 9th September 2021Class A has a mean test score of 62 and Class B has a mean of 58. Which class did better on average?
- 10th September 2021A rent index shows 2019 = 100 and 2024 = 118. Find the actual rent in 2024 if the 2019 rent was 650 pounds.
- 11th September 2021A fair coin is flipped once. What is P(heads)?
- 12th September 2021Student 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?
- 13th September 2021A coin is flipped twice. Find the probability of getting two heads.
- 14th September 2021A pyramid is roughly the same width all the way up, with only a slightly narrower top. What does this suggest?
- 15th September 2021A distribution has mean = mode = median. What does this suggest about its shape?
- 16th September 2021A 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.
- 17th September 2021A set of 7 numbers has a mean of 12. Find the total of all 7 numbers.
- 18th September 2021A population has 200 members and a sample of 20 is needed using systematic sampling. Find the sampling interval.
- 19th September 2021What is meant by the independent variable in an experiment?
- 20th September 2021Why must class intervals in a grouped frequency table not overlap?
- 21st September 2021Chart A represents 80 votes and has a 'Green Party' sector of 45 degrees. Chart B represents 150 votes and has a 'Green Party' sector of 30 degrees. Which chart represents more actual Green Party votes?
- 22nd September 2021Using the pupils in the previous question, find P(likes football only).
- 23rd September 2021A line of best fit passes through the points (0, 4) and (10, 24). Find its gradient.
- 24th September 2021What word describes a situation where one variable directly causes a change in another?
- 25th September 2021The Spearman's rank correlation coefficient between hours spent watching TV and test score is rs = -0.4. Describe the strength and direction of the correlation.
- 26th September 2021Give one reason a researcher would carry out a pilot survey.
- 27th September 2021Is 'favourite ice cream flavour' qualitative or quantitative data?
- 28th September 2021Group A has 10 items with mean 50. Group B has 5 items with mean 80. Find the combined mean.
- 29th September 2021The frequencies for four categories are 8, 5, 12, 3. What is the total number of data items?
- 30th September 2021A composite bar for Year 7 shows Boys 20 stacked below Girls, with a total bar height of 45. How many girls are there?