Daily Practice · Foundation
August 2003 5-a-day
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The batch download puts all 2 tiers' August 2003 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2003A Venn diagram shows 40 people: 22 own a car, 15 own a bike, 6 own both. Find the probability a random person owns neither.
- 2nd August 2003A scatter graph shows points scattered with no clear pattern. What type of correlation does this show?
- 3rd August 2003A researcher finds that towns with more fire engines have more fire damage, and concludes that fire engines cause fire damage. Identify the flaw in this reasoning and suggest the true common cause.
- 4th August 2003Two data sets give correlation coefficients rs = 0.6 and rs = -0.9. Which shows the stronger relationship?
- 5th August 2003What is a pilot survey?
- 6th August 2003Is 'height of a plant in cm' discrete or continuous data?
- 7th August 2003Three groups have 8 items with mean 10, 12 items with mean 15, and 5 items with mean 20. Find the combined mean.
- 8th August 2003Using the survey in the previous question (Red 6, Blue 9, Green 4, Yellow 5), which colour is the mode?
- 9th August 2003A 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?
- 10th August 2003A 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.
- 11th August 2003A frequency table has class frequencies 5, 9, 14, 7 for four consecutive classes. Find the cumulative frequency of the third class.
- 12th August 2003A 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?
- 13th August 2003In 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?
- 14th August 2003Data 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.
- 15th August 2003Which stage of the statistical enquiry cycle comes immediately after collecting the data?
- 16th August 2003A student uses figures from a government website for her project. Is this primary or secondary data?
- 17th August 2003Find the median of: 3, 5, 8, 10.
- 18th August 2003Two 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.
- 19th August 2003Using two fair six-sided dice added together, find P(total is 7).
- 20th August 2003Two 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?
- 21st August 2003A time series graph generally slopes upward from left to right over several years. What is this called?
- 22nd August 2003Out 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.
- 23rd August 2003In a survey of 40 students, 25 like Maths. Of those 25, 18 also like Science. Find P(likes Science given likes Maths).
- 24th August 2003A bar chart's vertical axis runs from 0 to 10 in equal steps of 2. Is this axis likely to be misleading?
- 25th August 2003The 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.
- 26th August 2003Give one reason why the response options '0-5, 5-10, 10-15' are a poor choice for hours of homework.
- 27th August 2003Find the 4-point moving average of 8, 12, 16, 20.
- 28th August 2003Are 'rolling an even number' and 'rolling a 5' on a normal six-sided dice mutually exclusive?
- 29th August 2003A 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.
- 30th August 2003Box 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?
- 31st August 2003A data set of test scores out of 100 is: 55, 60, 58, 62, 59, -10. Which value must be an error, and why?