Daily Practice · Foundation
August 2023 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2023 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2023A time series shows sales peaking every December for five years in a row. What is this repeating pattern called?
- 2nd August 2023Express a risk of 1/20 as a percentage.
- 3rd August 2023A box has 4 chocolate and 6 plain biscuits. One biscuit is eaten (it was chocolate), then a second is taken at random. Find P(second is chocolate given first was chocolate).
- 4th August 2023A pictogram uses one whole apple symbol to represent 10 apples sold, but one row shows a half apple symbol with no key given for partial symbols. Why could this be misleading?
- 5th August 2023Find the midpoint of the class interval 10-20.
- 6th August 2023A survey question offers the response options 'Never, Sometimes, Always'. State one improvement that could be made.
- 7th August 2023Find the 3-point moving average of 10, 14, 18.
- 8th August 2023A bag has only red, blue and green counters. P(red) = 0.5 and P(blue) = 0.2. Find P(green).
- 9th August 2023A histogram has bars of equal width. True or false: the height of each bar represents the frequency for that class.
- 10th August 2023A box plot shows minimum 4 and maximum 36, with median 20. State the range of the data.
- 11th August 2023A data set of ages is: 12, 13, 12, 14, 13, 99. Which value is most likely an outlier?
- 12th August 2023A city's population grows from 50,000 to 52,000 in one year. Find the percentage rate of change.
- 13th August 2023A company has 60 male and 90 female employees (150 total). A stratified sample of 30 employees is taken. How many males should be sampled?
- 14th August 2023Using the same table (0:4, 1:10, 2:4, 3:2), find the total number of students.
- 15th August 2023Two classes sit the same test. Class P: mean 70, range 10. Class Q: mean 55, range 30. Write a full comparison.
- 16th August 2023An item has an index number of 88 compared to its base year. State whether the value has increased or decreased, and by what percentage.
- 17th August 2023An event has a probability of 0.2 of happening. What is the probability that it does not happen?
- 18th August 2023Using the relative frequency from the spinner above, estimate how many times it would land on blue in 300 spins.
- 19th August 2023A spinner has P(win) = 0.3. It is spun twice, independently. Find the probability of winning both times.
- 20th August 2023On a population pyramid, which axis shows the age groups?
- 21st August 2023A box plot shows a long whisker on the left and a short whisker on the right, with the median close to the right of the box. What type of skew does this suggest?
- 22nd August 2023A survey of 30 shoppers out of 900 in a store found the mean amount spent was 18.50 pounds. What is the best estimate of the mean amount spent by all 900 shoppers?
- 23rd August 2023Find the median of 8, 3, 15, 3, 10.
- 24th August 2023A school of 600 students wants a sample of 30. A teacher decides to only survey students in her own class of 30. State one problem with this method.
- 25th August 2023A scientist tests a new plant food but only uses it on the healthiest-looking plants. Explain why this is a flawed design.
- 26th August 2023The frequencies for four class intervals are 6, 9, 11, 4. Find the total number of data values.
- 27th August 2023In a pie chart representing 120 people, 30 people chose 'Yes'. What angle represents 'Yes'?
- 28th August 2023A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
- 29th August 2023A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
- 30th August 2023A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
- 31st August 2023Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?