Daily Practice · Foundation
August 2005 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2005 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2005A series of 4-point moving averages is 45, 48, 52, 55. Describe the trend shown by these values.
- 2nd August 2005A game has four mutually exclusive outcomes: win, draw, lose, abandoned. P(win) = 0.45, P(draw) = 0.2, P(abandoned) = 0.05. Find P(lose).
- 3rd August 2005State one reason why a histogram has no gaps between its bars, unlike a bar chart.
- 4th August 2005Box plot A has a median of 50 and box plot B has a median of 42, for the same type of data. What does this tell you about the two data sets?
- 5th August 2005A shop records daily sales in pounds: 340, 355, 360, 348, 2, 352. Which value looks like a data entry error?
- 6th August 2005A town of population 10,000 records 20 births in a year. Find the crude birth rate per 1000 people.
- 7th August 2005A researcher wants a stratified sample of 30 from a population of 300 split into three regions: North (90 people), South (150 people) and East (60 people). She actually samples 9 from the North, 14 from the South and 7 from the East. Show whether her sample is correctly stratified, stating the correct numbers if not.
- 8th August 2005Using the same table (0:4, 1:10, 2:4, 3:2), find the median number of siblings.
- 9th August 2005Data set X has a range of 12 and data set Y has a range of 5. Which data set is more consistent?
- 10th August 2005An index number is 140 with a base value of 20. Find this year's value.
- 11th August 2005A bag has 4 yellow and 6 white balls. What is P(picking a yellow ball)?
- 12th August 2005A dice is rolled 120 times and shows a 6 on 15 of those rolls. Find the relative frequency of rolling a 6.
- 13th August 2005A bag has 4 green and 6 yellow balls. One ball is drawn, replaced, then a second is drawn. Find P(both yellow).
- 14th August 2005A pyramid has a wide base and a narrow top. What does this suggest about the population?
- 15th August 2005A distribution has a long tail of high values on the right. What type of skew is this?
- 16th August 2005A 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.
- 17th August 2005Find the mode of 5, 6, 5, 8, 6, 6, 9.
- 18th August 2005State one disadvantage of quota sampling.
- 19th August 2005Give one reason why participants should be assigned to groups at random.
- 20th August 2005A class interval is written 10 <= x < 20. Which of these values belong in it: 10, 20, 15?
- 21st August 2005A pie chart represents 60 people. What angle represents 1 person?
- 22nd August 2005A 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?
- 23rd August 2005Using the line of best fit from the previous question, estimate the y-value when x = 6.
- 24th August 2005Define correlation in your own words.
- 25th August 2005The Spearman's rank correlation coefficient between the age of a used car and its price is rs = -0.88. Describe the correlation.
- 26th August 2005State one change a researcher might make to a questionnaire as a result of a pilot survey.
- 27th August 2005State whether 'shoe size' is discrete or continuous, and explain why.
- 28th August 2005Group A has 18 items with mean 62. Group B has 22 items with mean 70. Find the combined mean.
- 29th August 2005A tally shows 4 full groups of five plus 2 extra marks for one category. What is the frequency?
- 30th August 2005A 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?
- 31st August 2005Using the diagram from the question above, what is the mode?