Daily Practice · Foundation
December 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' December 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in December 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2021A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
- 2nd December 2021A class interval 0-10 has frequency 6. Find frequency x midpoint.
- 3rd December 2021What is wrong with the question 'How old are you and do you smoke?'
- 4th December 2021What does a moving average smooth out in seasonal data, and what does the result reveal?
- 5th December 2021P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
- 6th December 2021A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 7th December 2021A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
- 8th December 2021Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
- 9th December 2021A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
- 10th December 2021A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
- 11th December 2021Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
- 12th December 2021Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
- 13th December 2021A base year value is 40 and this year's value is 50. Find the index number.
- 14th December 2021A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
- 15th December 2021A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
- 16th December 2021On a tree diagram, what do you do to find the probability of a single path through the branches?
- 17th December 2021On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?
- 18th December 2021Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
- 19th December 2021A sample of 25 students from a school of 500 found that 5 walk to school. Estimate how many of all 500 students walk to school.
- 20th December 2021Find the mean of 4, 7, 9, 12, 18.
- 21st December 2021A researcher wants a sample of 50 from a population of 500 using systematic sampling, with a random start of 4. List the first three people selected.
- 22nd December 2021What is a control group used for?
- 23rd December 2021A grouped frequency table has intervals of unequal width, 0 <= x < 10 and 10 <= x < 40. Explain why this could make the table misleading when drawing a histogram.
- 24th December 2021A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
- 25th December 2021Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
- 26th December 2021A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?
- 27th December 2021A scatter graph shows that as temperature increases, the number of hot drinks sold decreases. What type of correlation is this?
- 28th December 2021For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
- 29th December 2021A company pilots its customer feedback survey on 20 customers before sending it to all 5000 customers. Explain why using only 20 people is still useful.
- 30th December 2021A student uses last year's census results for her project instead of running her own survey. Is this primary or secondary data?
- 31st December 2021A class of 15 students has a mean score of 30. When combined with another class of 25 students, the combined mean of all 40 students is 40. Find the mean score of the second class.