Daily Practice · Foundation
December 2024 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2024 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2024A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 2nd December 2024A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 3rd December 2024A distribution has a long tail of high values on the right. What type of skew is this?
- 4th December 2024A 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.
- 5th December 2024Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 6th December 2024State one disadvantage of quota sampling.
- 7th December 2024Give one reason why participants should be assigned to groups at random.
- 8th December 2024A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 9th December 2024A pie chart represents 60 people. What angle represents 1 person?
- 10th December 2024A 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?
- 11th December 2024Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 12th December 2024Define correlation in your own words.
- 13th December 2024The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 14th December 2024State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 15th December 2024State whether 'shoe size' is discrete or continuous, and explain why.
- 16th December 2024Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 17th December 2024A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 18th December 2024A 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?
- 19th December 2024Using the diagram from the question above, what is the mode?
- 20th December 2024A 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?
- 21st December 2024A choropleth map uses class intervals of 0-10, 10-30, 30-40 and 40-90. Why might this be misleading?
- 22nd December 2024What percentage of data lies below the 40th percentile?
- 23rd December 2024Which spreadsheet formula would you use to find how many values are in the range C1 to C50?
- 24th December 2024A researcher decides her sample size was too small after seeing her results. Which stage of the cycle does this belong to?
- 25th December 2024A question asks: 'Don't you agree that the new bus timetable is an improvement?' State what is wrong with this question.
- 26th December 2024For the ordered data 2, 4, 5, 7, 8, 9, 11, 13, 14, find the lower quartile (Q1) and upper quartile (Q3).
- 27th December 2024A pictogram shows 5 full symbols for apples sold, with a key of 1 symbol = 12 apples. How many apples were sold?
- 28th December 2024Using the two-coin sample space, find P(exactly one head).
- 29th December 2024A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
- 30th December 2024Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
- 31st December 2024Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.