Daily Practice · Foundation
August 2022 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2022 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2022A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 2nd August 2022A 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.
- 3rd August 2022Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 4th August 2022Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 5th August 2022An index number is 140 with a base value of 20. Find this year's value.
- 6th August 2022A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 7th August 2022A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 8th August 2022A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 9th August 2022A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 10th August 2022A distribution has a long tail of high values on the right. What type of skew is this?
- 11th August 2022A 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.
- 12th August 2022Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 13th August 2022State one disadvantage of quota sampling.
- 14th August 2022Give one reason why participants should be assigned to groups at random.
- 15th August 2022A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 16th August 2022A pie chart represents 60 people. What angle represents 1 person?
- 17th August 2022A 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?
- 18th August 2022Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 19th August 2022Define correlation in your own words.
- 20th August 2022The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 21st August 2022State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 22nd August 2022State whether 'shoe size' is discrete or continuous, and explain why.
- 23rd August 2022Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 24th August 2022A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 25th August 2022A composite bar chart shows exam grades at a school: the bar has a section from 0 to 10 for Grade 9-7, a section from 10 to 34 for Grade 6-4, and a section from 34 to 40 for Grade 3-1. How many students got Grade 6-4?
- 26th August 2022Using the diagram from the question above, what is the mode?
- 27th August 2022A cumulative frequency graph for 80 data values is used to estimate the median. At what cumulative frequency value do you read across to the curve?
- 28th August 2022A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 29th August 2022What percentage of data lies below the 40th percentile?
- 30th August 2022Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 31st August 2022A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?