Daily Practice · Foundation
August 2021 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2021 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2021The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 2nd August 2021State one advantage of random sampling.
- 3rd August 2021What is meant by a control variable?
- 4th August 2021Values of 12, 18, 25, 31, 9, 22, 15 are grouped using intervals 0 <= x < 10, 10 <= x < 20, 20 <= x < 30, 30 <= x < 40. State the frequency of the interval 10 <= x < 20.
- 5th August 2021A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 6th August 2021Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 7th August 2021Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 8th August 2021Two variables have a correlation coefficient close to 0. What does this suggest?
- 9th August 2021The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 10th August 2021A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 11th August 2021A researcher records the exact temperature of 30 cups of tea to the nearest 0.1 degrees C. State the type of data, giving two features.
- 12th August 2021Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 13th August 2021The number of pets owned by 15 households, recorded as collected, is: 0,1,2,1,0,3,1,2,0,1,1,2,0,1,2. Complete a frequency table for the number of pets and state the total frequency.
- 14th August 2021A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 15th August 2021Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 16th August 2021A cumulative frequency graph shows that a cumulative frequency of 45 corresponds to a value of 60 on the horizontal axis, out of 90 total data values. How many data values are above 60?
- 17th August 2021What is the purpose of the key on a choropleth map?
- 18th August 2021A data set of 50 exam scores has the 20th percentile at 42 marks and the 80th percentile at 78 marks. Explain what these two values tell you about the middle 60% of scores.
- 19th August 2021Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 20th August 2021A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 21st August 2021Give one disadvantage of an observation study.
- 22nd August 2021Two classes have the same median test score. Class A has IQR = 6 and Class B has IQR = 15. Which class's scores are more consistent, and why?
- 23rd August 2021A pictogram has a key of 1 symbol = 4 people. A town has 22 people who play chess. How many symbols, including any part-symbol, should be drawn?
- 24th August 2021Using two fair six-sided dice added together, how many ways can you score a total of 7?
- 25th August 2021Find the midpoint of the class interval 10-20.
- 26th August 2021A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.
- 27th August 2021Out of 200 people who ate a certain meal, 10 became ill. What is the risk of becoming ill, as a fraction in its simplest form?
- 28th August 2021A class has 12 boys and 8 girls. One student, a girl, leaves the room. A second student is then chosen at random from those remaining. Find P(second student chosen is a girl given the first was a girl).
- 29th August 2021A newspaper bar chart showing company profit over 5 years has no vertical axis labels or scale, just bars of different heights. Explain the problem with this.
- 30th August 2021Find the midpoint of the class interval 30-50.
- 31st August 2021What is wrong with the question 'Do you not think school lunches are too expensive?'