Daily Practice · Foundation Plus

August 1986 5-a-day

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August 1986

31 sheets · 155 questions · Grades 4-6

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

Every sheet in August 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 August 1986Work out (18 x 10^6) / (6 x 10^2). Give your answer in standard form.
  2. 2nd August 1986Factorise x^2 - 81.
  3. 3rd August 1986Musa drives 120 km in 3 hours. Work out the average speed in km/h.
  4. 4th August 1986A prism has a triangular cross-section with base 6 cm and height 10 cm. The prism is 17 cm long. Work out its volume.
  5. 5th August 1986A bag holds 4 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  6. 6th August 1986A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
  7. 7th August 1986A meal deal has 9 mains, 3 sides and 2 drinks. How many different meals are possible?
  8. 8th August 1986Does the point (5, 34) satisfy y > 4x + 7?
  9. 9th August 1986Red and blue sweets are in the ratio 2 : 7. There are 12 red sweets. How many sweets are there altogether?
  10. 10th August 1986Work out the size of one exterior angle of a regular pentagon.
  11. 11th August 1986A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  12. 12th August 1986110 people were surveyed. 40 were adults, of whom 5 said yes. 30 of the children said yes. How many said yes altogether?
  13. 13th August 1986A bill is £552 including VAT at 20%. Work out the amount before VAT.
  14. 14th August 1986A line has gradient -1 and passes through (2, -8). Work out its equation.
  15. 15th August 1986A map has a scale of 1 : 10000. Two villages are 12 cm apart on the map. How far apart are they in real life, in km?
  16. 16th August 1986The bearing of B from A is 179°. Work out the bearing of A from B.
  17. 17th August 1986A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  18. 18th August 1986A box plot has minimum 4, lower quartile 7, median 9, upper quartile 12 and maximum 21. Work out the interquartile range.
  19. 19th August 1986Work out (10 x 10^8) / (5 x 10^3). Give your answer in standard form.
  20. 20th August 1986Make x the subject of y = 2x^2 - 3.
  21. 21st August 1986A pack of 7 teabags costs £2.10. A pack of 14 costs £4.06. Which pack is better value?
  22. 22nd August 1986A goat is tied to a post in an open field by a rope 9 m long. Describe the region of grass it can reach.
  23. 23rd August 1986A bag holds 2 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  24. 24th August 1986A scatter graph plots a car's engine size and the miles it does per gallon. What type of correlation would you expect?
  25. 25th August 1986A meal deal has 3 mains, 9 sides and 6 drinks. How many different meals are possible?
  26. 26th August 1986The angles in a triangle are 4x°, x° and (x + 60)°. Form an equation and work out x.
  27. 27th August 1986Work out 10% of 400.
  28. 28th August 1986A trapezium has parallel sides of 7 cm and 15 cm, 12 cm apart. Work out its area.
  29. 29th August 1986A biased coin lands on heads with probability 0.25. It is thrown 200 times. How many heads would you expect?
  30. 30th August 1986Grouped data has five classes of width 5, the first being 10 < x <= 15. The frequencies in order are 3, 16, 21, 11, 7. Write down the modal class.
  31. 31st August 1986A bill is £336 including VAT at 20%. Work out the amount before VAT.

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