Daily Practice · Foundation

July 2006 5-a-day

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July 2006

31 sheets · 155 questions · Foundation tier

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The batch download puts all 2 tiers' July 2006 sheets in a single PDF, each tier behind its own divider page - 62 sheets in one file.

Every sheet in July 2006

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st July 2006A population falls from 8,000 to 7,600. Find the percentage rate of change, stating whether it is an increase or decrease.
  2. 2nd July 2006A 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.
  3. 3rd July 2006Using the same table (0:4, 1:10, 2:4, 3:2), find the range.
  4. 4th July 2006Team 1 has median height 165 cm and Team 2 has median height 172 cm. Write one comparison in context.
  5. 5th July 2006A base year value is 40 and this year's value is 50. Find the index number.
  6. 6th July 2006A spinner has 8 equal sections numbered 1 to 8. What is P(the spinner lands on a number greater than 5)?
  7. 7th July 2006A coin is flipped 50 times and lands on heads 27 times. Find the relative frequency of heads.
  8. 8th July 2006On a tree diagram, what do you do to find the probability of a single path through the branches?
  9. 9th July 2006On 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?
  10. 10th July 2006Describe, using the mean and median, how you could tell that a distribution is positively skewed without drawing a graph.
  11. 11th July 2006A 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.
  12. 12th July 2006Find the mean of 4, 7, 9, 12, 18.
  13. 13th July 2006A 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.
  14. 14th July 2006What is a control group used for?
  15. 15th July 2006A 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.
  16. 16th July 2006A pie chart represents 200 people. One sector has an angle of 45 degrees. How many people does it represent?
  17. 17th July 2006Out of 25 pupils, 12 like football, 9 like tennis, and 4 like both. How many like neither sport?
  18. 18th July 2006A scatter graph shows points that generally rise from bottom left to top right. What type of correlation does this show?
  19. 19th July 2006A scatter graph shows that as temperature increases, the number of hot drinks sold decreases. What type of correlation is this?
  20. 20th July 2006For a class, the Spearman's rank correlation coefficient between shoe size and spelling test score is rs = 0.15. Describe the correlation.
  21. 21st July 2006A company pilots its customer feedback survey on 20 customers before sending it to all 5000 customers. Explain why using only 20 people is still useful.
  22. 22nd July 2006A student uses last year's census results for her project instead of running her own survey. Is this primary or secondary data?
  23. 23rd July 2006A class of 15 students has a mean score of 30. When combined with another class of 25 students, the combined mean of all 40 students is 40. Find the mean score of the second class.
  24. 24th July 2006A survey of favourite colours gives: Red 6, Blue 9, Green 4, Yellow 5. How many people were surveyed in total?
  25. 25th July 2006A bar chart shows the bar for 'Bus' with height 40 and the bar for 'Walk' with height 25. How many more pupils travel by bus than walk?
  26. 26th July 2006A stem-and-leaf diagram has rows: 0|5 8, 1|2 2 6, 2|1. How many data values are there in total?
  27. 27th July 2006For 80 data values, at what cumulative frequency do you read across to find the lower quartile?
  28. 28th July 2006Two neighbouring regions on a choropleth map are shaded the same colour. What can you conclude about their values?
  29. 29th July 2006Which percentile is the same as the median?
  30. 30th July 2006A spreadsheet shows the formula =SUM(F1:F5)/COUNT(F1:F5) in cell F6. What statistical measure does this formula calculate?
  31. 31st July 2006State two things that should be decided during the planning stage of the enquiry cycle.

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