Daily Practice · Foundation
August 2020 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2020 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2020Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
- 2nd August 2020Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
- 3rd August 2020A bar chart uses a scale where each small square represents 2 people. A bar is 7 squares tall. How many people does the bar represent?
- 4th August 2020A stem-and-leaf row, with key '3|1 means 31', is '3|0 2 4 4 7 9'. Find the median of these six values.
- 5th August 2020A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
- 6th August 2020A choropleth map of rainfall uses two different hues (for example yellow to red) rather than one hue getting darker. Why can this style of shading be a problem?
- 7th August 2020In a class of 30 students, a student's mark is at the 90th percentile. Roughly how many students scored less than or equal to that mark?
- 8th August 2020Data on 200 students' exam scores is in a spreadsheet. Give one advantage of using a spreadsheet rather than calculating the mean and range by hand.
- 9th August 2020Which stage of the statistical enquiry cycle comes immediately after collecting the data?
- 10th August 2020A student uses figures from a government website for her project. Is this primary or secondary data?
- 11th August 2020Find the median of: 3, 5, 8, 10.
- 12th August 2020Two rows of a pictogram show 4.5 symbols and 3.5 symbols, with a key of 1 symbol = 20 pounds. Work out the combined total for both rows.
- 13th August 2020Using two fair six-sided dice added together, find P(total is 7).
- 14th August 2020Two frequency polygons are drawn on the same axes for boys' and girls' test scores. What feature of the graphs shows which group generally scored higher?
- 15th August 2020A time series graph generally slopes upward from left to right over several years. What is this called?
- 16th August 2020Out of 600 drivers who used a phone while driving, 24 had an accident that year, compared with 9 out of 900 drivers who did not use a phone. Calculate the risk of an accident for each group.
- 17th August 2020In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
- 18th August 2020A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
- 19th August 2020The table shows ages, in years, of 50 people at a gym: 10-20 (freq 6), 20-30 (freq 18), 30-40 (freq 16), 40-50 (freq 10). Estimate the mean age.
- 20th August 2020Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
- 21st August 2020Find the 4-point moving average of 8, 12, 16, 20.
- 22nd August 2020Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
- 23rd August 2020A histogram of ages has 5 equal-width bars covering 0-10, 10-20, 20-30, 30-40, 40-50 with heights 3, 7, x, 9, 2, and a total of 35 people. Find x.
- 24th August 2020Box plot A has an interquartile range of 8 and box plot B has an interquartile range of 15. What does this tell you about the spread of the middle 50 percent of each data set?
- 25th August 2020A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?
- 26th August 2020A country of population 2,000,000 records 3,000 deaths in a year. Find the crude death rate per 100,000 people.
- 27th August 2020A college has 120 Maths students, 80 Science students and 100 English students (300 total). A stratified sample of size 60 is needed. Find the number sampled from each subject.
- 28th August 2020A table shows number of siblings: 0 (freq 4), 1 (freq 10), 2 (freq 4), 3 (freq 2). Find the mode.
- 29th August 2020Shop A's daily sales have an IQR of 40 pounds and Shop B's have an IQR of 15 pounds. Which shop has more variable daily sales?
- 30th August 2020The price of milk was 0.80 pounds in the base year and 0.92 pounds this year. Find the index number for milk this year.
- 31st August 2020A fair six-sided dice is rolled. What is P(rolling a 5)?