Daily Practice · Foundation
April 2019 5-a-day
Printing for a group?
The batch download puts all 2 tiers' April 2019 sheets in a single PDF, each tier behind its own divider page - 60 sheets in one file.
Every sheet in April 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2019A 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 April 2019The probability that a train is late is 0.15. Out of 200 trains, how many would you expect to be late?
- 3rd April 2019The probability that a machine produces a faulty item is 0.04. Out of 300 items, how many would you expect to be faulty?
- 4th April 2019A box has 3 faulty bulbs out of 10. Two bulbs are chosen without replacement. Find the probability at least one is faulty.
- 5th April 2019In a pyramid, the bars for ages 65+ are unusually long compared with younger age bands. Give one possible reason.
- 6th April 2019A data set has mean 12, median 12, mode 12. Describe its skew.
- 7th April 2019A 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 April 2019The mean of 6 numbers is 15. Five of the numbers are 10, 12, 14, 18, 20. Find the sixth number.
- 9th April 2019State one advantage of random sampling.
- 10th April 2019What is meant by a control variable?
- 11th April 2019Values 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 April 2019A pie chart shows four categories with angles 90, 120, 60 and x degrees. Find x.
- 13th April 2019Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.25. Find P(A or B).
- 14th April 2019Explain 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 April 2019Two variables have a correlation coefficient close to 0. What does this suggest?
- 16th April 2019The Spearman's rank correlation coefficient between temperature and ice cream sales for 8 days is rs = 0.95. Describe the correlation.
- 17th April 2019A pilot survey shows that many respondents left a question blank. What might this suggest about the question?
- 18th April 2019A 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 April 2019Group A has 4 items with mean 12. Group B has 4 items with mean 20. Find the combined mean.
- 20th April 2019The 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 April 2019A bar chart shows 3 bars: Dogs 12, Cats 9, Rabbits 5. How many pets are shown in total?
- 22nd April 2019Using the same diagram (0|5 8, 1|2 2 6, 2|1), what is the range?
- 23rd April 2019A 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 April 2019What is the purpose of the key on a choropleth map?
- 25th April 2019A 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 April 2019Which spreadsheet formula would you use to find the total of the values in cells B2 to B20?
- 27th April 2019A 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 April 2019Give one disadvantage of an observation study.
- 29th April 2019Two 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 April 2019A 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?