Daily Practice · Foundation Plus

December 1984 5-a-day

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December 1984

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1984

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

  1. 1st December 1984A bag holds 4 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd December 1984A line of best fit on a scatter graph has equation y = 6x + 14. Use it to estimate y when x = 9.
  3. 3rd December 1984A meal deal has 7 mains, 7 sides and 2 drinks. How many different meals are possible?
  4. 4th December 19845 teas and 1 cake cost £9.20. 4 teas and 2 cakes cost £11.50. Find the price of a tea.
  5. 5th December 1984Work out 15% of 60.
  6. 6th December 1984Work out the size of one exterior angle of a regular nonagon.
  7. 7th December 1984A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  8. 8th December 1984Four classes in order have frequencies 6, 7, 12, 6. Write down the cumulative frequency at the end of the third class.
  9. 9th December 1984A bill is £504 including VAT at 20%. Work out the amount before VAT.
  10. 10th December 1984For the curve y = -30/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  11. 11th December 1984Write the ratio 4 : 32 in the form 1 : n.
  12. 12th December 1984The bearing of B from A is 349°. Work out the bearing of A from B.
  13. 13th December 1984A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th December 198410 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
  15. 15th December 1984Work out (30 x 10^8) / (5 x 10^2). Give your answer in standard form.
  16. 16th December 1984Factorise x^2 - 25.
  17. 17th December 1984A coach travels 50 km in 1 hour, then 80 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  18. 18th December 1984A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
  19. 19th December 1984A bag holds 2 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th December 1984A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
  21. 21st December 1984A meal deal has 5 mains, 4 sides and 4 drinks. How many different meals are possible?
  22. 22nd December 1984Does the point (3, 8) satisfy y > 2x - 2?
  23. 23rd December 1984Yusuf drives 180 km in 4 hours. Work out the average speed in km/h.
  24. 24th December 1984A trapezium has parallel sides of 8 cm and 19 cm, 6 cm apart. Work out its area.
  25. 25th December 1984A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  26. 26th December 1984160 people were surveyed. 30 were adults, of whom 15 said yes. 50 of the children said yes. How many said yes altogether?
  27. 27th December 1984A bill is £816 including VAT at 20%. Work out the amount before VAT.
  28. 28th December 1984A line has gradient -4 and passes through (2, -15). Work out its equation.
  29. 29th December 1984Red and blue raffle tickets are in the ratio 5 : 9. There are 35 red raffle tickets. How many raffle tickets are there altogether?
  30. 30th December 1984Four angles meet at a point. Three of them are 91°, 53° and 178°. Work out the fourth.
  31. 31st December 1984A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.

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