Daily Practice · Foundation
May 2023 5-a-day
Printing for a group?
The batch download puts all 2 tiers' May 2023 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in May 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2023A drawer has 7 black socks and 5 white socks. Two socks are taken without replacement. Find P(second sock is black given the first sock was black).
- 2nd May 2023A line graph's horizontal (time) axis has unequal gaps between the years labelled: 2010, 2011, 2015, 2016. Why could this mislead a reader?
- 3rd May 2023The table shows weights, in kg, of 20 parcels: 0-5 (freq 4), 5-10 (freq 10), 10-15 (freq 6). Estimate the mean weight.
- 4th May 2023Rewrite the response options '0-5, 5-10, 10-15' so that they no longer overlap.
- 5th May 2023A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 6th May 2023A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
- 7th May 2023State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 8th May 2023Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
- 9th May 2023A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
- 10th May 2023A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 11th May 2023A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
- 12th May 2023Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 13th May 2023Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 14th May 2023An index number is 140 with a base value of 20. Find this year's value.
- 15th May 2023A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 16th May 2023A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 17th May 2023A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 18th May 2023A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 19th May 2023A distribution has a long tail of high values on the right. What type of skew is this?
- 20th May 2023A quality inspector samples 120 items from a batch of 15000 and finds 3 defective, but the sample was taken only from items made in the last hour of the day. Explain why her estimate might not be reliable, and give the estimate assuming the sample were representative.
- 21st May 2023Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 22nd May 2023State one disadvantage of quota sampling.
- 23rd May 2023Give one reason why participants should be assigned to groups at random.
- 24th May 2023A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 25th May 2023A pie chart represents 60 people. What angle represents 1 person?
- 26th May 2023A rectangle labelled 20 contains two non-overlapping circles for events A and B with 8 and 5 inside them. How many outcomes are outside both circles?
- 27th May 2023Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 28th May 2023Define correlation in your own words.
- 29th May 2023The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 30th May 2023State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 31st May 2023State whether 'shoe size' is discrete or continuous, and explain why.