Daily Practice · Foundation Plus

July 1986 5-a-day

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July 1986

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1986

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 1986Of 59 students, 26 study French, 28 study German and 5 study both. How many study neither?
  2. 2nd July 1986A meal deal has 6 mains, 6 sides and 5 drinks. How many different meals are possible?
  3. 3rd July 1986A line has equation y = 3x - 15. Write down where it crosses the x-axis and where it crosses the y-axis.
  4. 4th July 1986A map has a scale of 1 : 50000. Two villages are 10.5 cm apart on the map. How far apart are they in real life, in km?
  5. 5th July 1986Work out the size of one exterior angle of a regular octagon.
  6. 6th July 1986A biased coin lands on heads with probability 0.1. It is thrown 250 times. How many heads would you expect?
  7. 7th July 1986In a survey 8 households own 1 car, 6 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  8. 8th July 1986A bill is £384 including VAT at 20%. Work out the amount before VAT.
  9. 9th July 1986Solve 3(x + 4) = 30.
  10. 10th July 1986A pack of 8 batteries costs £4.00. A pack of 24 costs £10.80. Which pack is better value?
  11. 11th July 1986The bearing of B from A is 081°. Work out the bearing of A from B.
  12. 12th July 1986A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  13. 13th July 1986A box plot has a minimum of 3 and a maximum of 25. Work out the range.
  14. 14th July 1986Work out (12 x 10^8) / (3 x 10^3). Give your answer in standard form.
  15. 15th July 1986Use v = u + at with u = 8, a = 7 and t = 3. Work out v.
  16. 16th July 1986Work out 75% of 260.
  17. 17th July 1986A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  18. 18th July 1986A bag holds 7 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  19. 19th July 1986A line of best fit on a scatter graph has equation y = 6x + 28. Use it to estimate y when x = 5.
  20. 20th July 1986A meal deal has 8 mains, 8 sides and 3 drinks. How many different meals are possible?
  21. 21st July 19863 teas and 1 cake cost £7.70. 2 teas and 2 cakes cost £9.60. Find the price of a tea.
  22. 22nd July 1986Write the ratio 3 : 21 in the form 1 : n.
  23. 23rd July 1986A trapezium has parallel sides of 14 cm and 21 cm, 8 cm apart. Work out its area.
  24. 24th July 1986A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  25. 25th July 1986Four classes in order have frequencies 6, 3, 4, 4. Write down the cumulative frequency at the end of the third class.
  26. 26th July 1986A bill is £552 including VAT at 20%. Work out the amount before VAT.
  27. 27th July 1986For the curve y = -12/x, work out y when x = -2, and write down the equation of its vertical asymptote.
  28. 28th July 1986A coach travels 20 km in 1 hour, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  29. 29th July 1986Four angles meet at a point. Three of them are 92°, 67° and 81°. Work out the fourth.
  30. 30th July 1986A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  31. 31st July 198650 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.

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