Daily Practice · Foundation
September 2007 5-a-day
Printing for a group?
The batch download puts all 2 tiers' September 2007 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in September 2007
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2007A cost index for electricity, relative to the same base year, was 120 in 2021 and 150 in 2023. Find the percentage increase in the cost of electricity from 2021 to 2023 (not from the base year).
- 2nd September 2007The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 3rd September 2007The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 4th September 2007A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 5th September 2007In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 6th September 2007A data set has mean 12, median 12, mode 12. Describe its skew.
- 7th September 2007A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 8th September 2007The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 9th September 2007State one advantage of random sampling.
- 10th September 2007What is meant by a control variable?
- 11th September 2007Values 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.
- 12th September 2007A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 13th September 2007Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 14th September 2007Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 15th September 2007Two variables have a correlation coefficient close to 0. What does this suggest?
- 16th September 2007The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 17th September 2007A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 18th September 2007A 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.
- 19th September 2007Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 20th September 2007The 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.
- 21st September 2007A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 22nd September 2007Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 23rd September 2007A 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?
- 24th September 2007What is the purpose of the key on a choropleth map?
- 25th September 2007A 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.
- 26th September 2007Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 27th September 2007A supermarket wants to know if a new till layout reduces queuing time. Write a suitable statistical question for the start of the enquiry cycle.
- 28th September 2007Give one disadvantage of an observation study.
- 29th September 2007Two 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?
- 30th September 2007A 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?