Daily Practice · Foundation Plus

December 1965 5-a-day

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December 1965

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1965

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 1965A bill is £744 including VAT at 20%. Work out the amount before VAT.
  2. 2nd December 1965Solve 7(x - 1) = 21.
  3. 3rd December 1965A map has a scale of 1 : 50000. Two villages are 7 cm apart on the map. How far apart are they in real life, in km?
  4. 4th December 1965The bearing of B from A is 257°. Work out the bearing of A from B.
  5. 5th December 1965A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  6. 6th December 1965A box plot has a minimum of 14 and a maximum of 67. Work out the range.
  7. 7th December 1965Work out (40 x 10^6) / (8 x 10^2). Give your answer in standard form.
  8. 8th December 1965Use v = u + at with u = 2, a = 7 and t = 3. Work out v.
  9. 9th December 1965A pack of 10 teabags costs £2.50. A pack of 20 costs £4.80. Which pack is better value?
  10. 10th December 1965A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  11. 11th December 1965A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  12. 12th December 1965A line of best fit on a scatter graph has equation y = 5x + 6. Use it to estimate y when x = 8.
  13. 13th December 1965A meal deal has 5 mains, 9 sides and 5 drinks. How many different meals are possible?
  14. 14th December 19655 teas and 3 cakes cost £15.40. 4 teas and 2 cakes cost £11.80. Find the price of a tea.
  15. 15th December 1965Work out 5% of 240.
  16. 16th December 1965A trapezium has parallel sides of 4 cm and 16 cm, 18 cm apart. Work out its area.
  17. 17th December 1965A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?
  18. 18th December 1965Four classes in order have frequencies 11, 7, 6, 4. Write down the cumulative frequency at the end of the third class.
  19. 19th December 1965A bill is £360 including VAT at 20%. Work out the amount before VAT.
  20. 20th December 1965For the curve y = 35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  21. 21st December 1965Write the ratio 7 : 35 in the form 1 : n.
  22. 22nd December 1965Four angles meet at a point. Three of them are 87°, 101° and 45°. Work out the fourth.
  23. 23rd December 1965A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  24. 24th December 196530 beetles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
  25. 25th December 1965Work out (30 x 10^8) / (5 x 10^5). Give your answer in standard form.
  26. 26th December 1965Factorise x^2 + 2x - 48.
  27. 27th December 1965A coach travels 60 km in 1.5 hours, then 30 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  28. 28th December 1965A prism has a triangular cross-section with base 6 cm and height 10 cm. The prism is 14 cm long. Work out its volume.
  29. 29th December 1965A bag holds 5 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  30. 30th December 1965A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
  31. 31st December 1965A meal deal has 6 mains, 6 sides and 2 drinks. How many different meals are possible?

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