Daily Practice · Foundation
January 2020 5-a-day
Printing for a group?
The batch download puts all 2 tiers' January 2020 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in January 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2020Using the same histogram, how many students scored between 10 and 30 marks?
- 2nd January 2020A box plot has lower quartile 10 and upper quartile 22. Find the interquartile range.
- 3rd January 2020The heights (cm) of 6 plants are: 15, 18, 16, 14, 17, 150. Find the mean of the remaining values after removing the outlier.
- 4th January 2020Explain why a crude rate is more useful than a raw total, such as the total number of deaths, when comparing two towns of different sizes.
- 5th January 2020A factory has 400 workers: 160 in production, 120 in packing and 120 in admin. A stratified sample of 50 workers is needed. Find how many should be sampled from packing.
- 6th January 2020Using the same table (0:4, 1:10, 2:4, 3:2), find the mean number of siblings.
- 7th January 2020The mean rainfall in April was 45 mm with a range of 20 mm; in May it was 45 mm with a range of 8 mm. Compare April and May.
- 8th January 2020A 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).
- 9th January 2020The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 10th January 2020The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 11th January 2020A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 12th January 2020In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 13th January 2020A data set has mean 12, median 12, mode 12. Describe its skew.
- 14th January 2020A sample of 80 light bulbs from a batch of 2000 found 4 were faulty. Estimate the number of faulty bulbs in the whole batch.
- 15th January 2020The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 16th January 2020State one advantage of random sampling.
- 17th January 2020What is meant by a control variable?
- 18th January 2020Values 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.
- 19th January 2020A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 20th January 2020Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 21st January 2020Explain why estimating a y-value for x = 50 would be unreliable if all the plotted data only covers x-values from 0 to 20.
- 22nd January 2020Two variables have a correlation coefficient close to 0. What does this suggest?
- 23rd January 2020The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 24th January 2020A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 25th January 2020A 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.
- 26th January 2020Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 27th January 2020The 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.
- 28th January 2020A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 29th January 2020Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 30th January 2020A 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?
- 31st January 2020What is the purpose of the key on a choropleth map?