Daily Practice · Foundation Plus

September 1983 5-a-day

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September 1983

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' September 1983 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in September 1983

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

  1. 1st September 1983The bearing of B from A is 139°. Work out the bearing of A from B.
  2. 2nd September 1983A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd September 1983Four classes in order have frequencies 10, 8, 10, 10. Write down the cumulative frequency at the end of the third class.
  4. 4th September 1983Work out (24 x 10^11) / (4 x 10^2). Give your answer in standard form.
  5. 5th September 1983For the curve y = -110/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  6. 6th September 1983Write the ratio 5 : 10 in the form 1 : n.
  7. 7th September 1983A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  8. 8th September 1983A bag holds 2 red and 10 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th September 198330 fish are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
  10. 10th September 1983A meal deal has 4 mains, 9 sides and 5 drinks. How many different meals are possible?
  11. 11th September 1983Factorise x^2 + 12x + 32.
  12. 12th September 1983A coach travels 50 km in 1 hour, then 80 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  13. 13th September 1983A trapezium has parallel sides of 13 cm and 17 cm, 6 cm apart. Work out its area.
  14. 14th September 1983A biased coin lands on heads with probability 0.4. It is thrown 250 times. How many heads would you expect?
  15. 15th September 1983A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
  16. 16th September 1983A bill is £216 including VAT at 20%. Work out the amount before VAT.
  17. 17th September 1983Does the point (3, 16) satisfy y > x + 5?
  18. 18th September 1983Tomasz drives 240 km in 4 hours. Work out the average speed in km/h.
  19. 19th September 1983Four angles meet at a point. Three of them are 117°, 52° and 129°. Work out the fourth.
  20. 20th September 1983A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st September 1983220 people were surveyed. 80 were adults, of whom 35 said yes. 25 of the children said yes. How many said yes altogether?
  22. 22nd September 1983Work out (18 x 10^12) / (2 x 10^2). Give your answer in standard form.
  23. 23rd September 1983A line has gradient 4 and passes through (2, 15). Work out its equation.
  24. 24th September 1983Red and blue marbles are in the ratio 5 : 6. There are 30 red marbles. How many marbles are there altogether?
  25. 25th September 1983A prism has a triangular cross-section with base 12 cm and height 13 cm. The prism is 8 cm long. Work out its volume.
  26. 26th September 1983A bag holds 2 red and 8 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th September 1983A box plot has minimum 13, lower quartile 22, median 24, upper quartile 30 and maximum 34. Work out the interquartile range.
  28. 28th September 1983A meal deal has 8 mains, 9 sides and 4 drinks. How many different meals are possible?
  29. 29th September 1983Make x the subject of y = 6x^2 - 4.
  30. 30th September 1983A map has a scale of 1 : 10000. Two villages are 6.5 cm apart on the map. How far apart are they in real life, in km?

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