Daily Practice · Foundation Plus

August 1982 5-a-day

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August 1982

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1982

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 1982The bearing of B from A is 144°. Work out the bearing of A from B.
  2. 2nd August 1982A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd August 1982Four classes in order have frequencies 9, 9, 9, 9. Write down the cumulative frequency at the end of the third class.
  4. 4th August 1982Work out (12 x 10^7) / (6 x 10^5). Give your answer in standard form.
  5. 5th August 1982For the curve y = -3/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  6. 6th August 1982A map has a scale of 1 : 50000. Two villages are 13 cm apart on the map. How far apart are they in real life, in km?
  7. 7th August 1982A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  8. 8th August 1982A bag holds 5 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th August 198210 fish are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
  10. 10th August 1982A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?
  11. 11th August 1982Factorise x^2 - 5x + 6.
  12. 12th August 1982A pack of 10 batteries costs £1.50. A pack of 30 costs £3.00. Which pack is better value?
  13. 13th August 1982A trapezium has parallel sides of 8 cm and 16 cm, 12 cm apart. Work out its area.
  14. 14th August 1982A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  15. 15th August 1982A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
  16. 16th August 1982A bill is £792 including VAT at 20%. Work out the amount before VAT.
  17. 17th August 1982Does the point (-4, -2) satisfy y > x + 7?
  18. 18th August 1982Work out 15% of 260.
  19. 19th August 1982Four angles meet at a point. Three of them are 41°, 95° and 83°. Work out the fourth.
  20. 20th August 1982A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st August 198290 people were surveyed. 80 were adults, of whom 15 said yes. 5 of the children said yes. How many said yes altogether?
  22. 22nd August 1982Work out (25 x 10^9) / (5 x 10^2). Give your answer in standard form.
  23. 23rd August 1982A line has gradient 4 and passes through (4, 13). Work out its equation.
  24. 24th August 1982Write the ratio 7 : 35 in the form 1 : n.
  25. 25th August 1982A prism has a triangular cross-section with base 6 cm and height 9 cm. The prism is 4 cm long. Work out its volume.
  26. 26th August 1982A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th August 1982A box plot has minimum 9, lower quartile 19, median 25, upper quartile 34 and maximum 44. Work out the interquartile range.
  28. 28th August 1982A meal deal has 3 mains, 4 sides and 3 drinks. How many different meals are possible?
  29. 29th August 1982Make x the subject of y = 5x^2 - 8.
  30. 30th August 1982A coach travels 80 km in 1 hour, then 80 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  31. 31st August 1982Work out the size of one exterior angle of a regular nonagon.

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