Daily Practice · Foundation
July 2016 5-a-day
Printing for a group?
The batch download puts all 2 tiers' July 2016 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.
Every sheet in July 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2016Using the two-coin sample space, find P(exactly one head).
- 2nd July 2016A frequency polygon has classes of unequal width: 0-10 and 10-30. Explain why comparing the heights of the two plotted points directly can be misleading.
- 3rd July 2016Explain why using a time series trend to estimate a value many years into the future is less reliable than estimating one year ahead.
- 4th July 2016Using your answers to the previous question, find the relative risk for phone users compared with non-users, and interpret it.
- 5th July 2016A pack of 10 cards is numbered 1 to 10. One card is drawn and not replaced; it is even. A second card is then drawn. Find P(second card is even given the first card was even).
- 6th July 2016A pie chart is drawn showing 3 sectors that look visually equal in size, but the data is 50%, 30% and 20%. What is wrong?
- 7th July 2016A class interval 0-10 has frequency 6. Find frequency x midpoint.
- 8th July 2016What is wrong with the question 'How old are you and do you smoke?'
- 9th July 2016What does a moving average smooth out in seasonal data, and what does the result reveal?
- 10th July 2016P(A) = 0.4 and P(B) = 0.35, where A and B are mutually exclusive. Find P(A or B).
- 11th July 2016A histogram has unequal class widths. Explain why the height of a bar can no longer be read directly as the frequency.
- 12th July 2016A box plot for 40 values has lower quartile 15 and upper quartile 25. Roughly how many of the 40 values lie between 15 and 25?
- 13th July 2016Explain why the median might be a more appropriate average to use on a data set with an outlier, instead of removing the outlier first.
- 14th July 2016A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
- 15th July 2016A population of 90 people is split into 3 age groups: 30 aged 18 to 30, 40 aged 31 to 50, and 20 aged 51 or over. A stratified sample of 27 is needed. Find how many from the 51-or-over group should be sampled.
- 16th July 2016Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
- 17th July 2016Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
- 18th July 2016A base year value is 40 and this year's value is 50. Find the index number.
- 19th July 2016A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
- 20th July 2016A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
- 21st July 2016On a tree diagram, what do you do to find the probability of a single path through the branches?
- 22nd July 2016On a pyramid where male bars point left and female bars point right, the bar for females aged 20-24 is longer than the bar for males aged 20-24. What does this tell you?
- 23rd July 2016Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
- 24th July 2016A sample of 25 students from a school of 500 found that 5 walk to school. Estimate how many of all 500 students walk to school.
- 25th July 2016Find the mean of 4, 7, 9, 12, 18.
- 26th July 2016A researcher wants a sample of 50 from a population of 500 using systematic sampling, with a random start of 4. List the first three people selected.
- 27th July 2016What is a control group used for?
- 28th July 2016A grouped frequency table has intervals of unequal width, 0 <= x < 10 and 10 <= x < 40. Explain why this could make the table misleading when drawing a histogram.
- 29th July 2016A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
- 30th July 2016Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
- 31st July 2016A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?