Daily Practice · Foundation
August 2004 5-a-day
Printing for a group?
The batch download puts all 2 tiers' August 2004 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in August 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2004The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 2nd August 2004A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 3rd August 2004In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 4th August 2004A data set has mean 12, median 12, mode 12. Describe its skew.
- 5th August 2004A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 6th August 2004The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 7th August 2004State one advantage of random sampling.
- 8th August 2004What is meant by a control variable?
- 9th August 2004Values 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.
- 10th August 2004A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 11th August 2004Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 12th August 2004Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 13th August 2004Two variables have a correlation coefficient close to 0. What does this suggest?
- 14th August 2004The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 15th August 2004A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 16th August 2004A 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.
- 17th August 2004Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 18th August 2004The 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.
- 19th August 2004A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 20th August 2004Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 21st August 2004A 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?
- 22nd August 2004What is the purpose of the key on a choropleth map?
- 23rd August 2004A 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.
- 24th August 2004Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 25th August 2004A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 26th August 2004Give one disadvantage of an observation study.
- 27th August 2004Two 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?
- 28th August 2004A 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?
- 29th August 2004Using two fair six-sided dice added together, how many ways can you score a total of 7?
- 30th August 2004Find the midpoint of the class interval 10-20.
- 31st August 2004A company's yearly profits are 10, 12, 11, 15, 14 thousand pounds over five years. Describe the general trend.