Daily Practice · Foundation Plus

December 1959 5-a-day

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December 1959

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1959

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 1959A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  2. 2nd December 1959Grouped data has five classes of width 10, the first being 30 < x <= 40. The frequencies in order are 11, 21, 16, 3, 7. Write down the modal class.
  3. 3rd December 1959Work out (16 x 10^11) / (8 x 10^5). Give your answer in standard form.
  4. 4th December 1959Expand and simplify 3(3x - 4).
  5. 5th December 1959Red and blue sweets are in the ratio 7 : 9. There are 21 red sweets. How many sweets are there altogether?
  6. 6th December 1959A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  7. 7th December 1959A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  8. 8th December 1959Of 67 students, 40 study French, 24 study German and 15 study both. How many study neither?
  9. 9th December 1959A meal deal has 9 mains, 9 sides and 5 drinks. How many different meals are possible?
  10. 10th December 1959A line has equation y = 6x - 24. Write down where it crosses the x-axis and where it crosses the y-axis.
  11. 11th December 1959A map has a scale of 1 : 50000. Two villages are 6.5 cm apart on the map. How far apart are they in real life, in km?
  12. 12th December 1959A trapezium has parallel sides of 5 cm and 12 cm, 16 cm apart. Work out its area.
  13. 13th December 1959A biased coin lands on heads with probability 0.15. It is thrown 250 times. How many heads would you expect?
  14. 14th December 1959In a survey 7 households own 1 car, 5 own 2 cars and 8 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  15. 15th December 1959A bill is £72 including VAT at 20%. Work out the amount before VAT.
  16. 16th December 1959Solve 7(x + 8) = 84.
  17. 17th December 1959A pack of 6 teabags costs £1.80. A pack of 18 costs £4.86. Which pack is better value?
  18. 18th December 1959Four angles meet at a point. Three of them are 63°, 126° and 82°. Work out the fourth.
  19. 19th December 1959A bag holds 6 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  20. 20th December 1959A box plot has a minimum of 17 and a maximum of 51. Work out the range.
  21. 21st December 1959Work out (18 x 10^11) / (3 x 10^5). Give your answer in standard form.
  22. 22nd December 1959Use v = u + at with u = 11, a = 4 and t = 3. Work out v.
  23. 23rd December 1959Work out 20% of 260.
  24. 24th December 1959A prism has a triangular cross-section with base 8 cm and height 8 cm. The prism is 5 cm long. Work out its volume.
  25. 25th December 1959A bag holds 3 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  26. 26th December 1959A line of best fit on a scatter graph has equation y = 5x + 18. Use it to estimate y when x = 12.
  27. 27th December 1959A meal deal has 9 mains, 7 sides and 2 drinks. How many different meals are possible?
  28. 28th December 19594 teas and 3 cakes cost £13.30. 1 tea and 2 cakes cost £7.45. Find the price of a tea.
  29. 29th December 1959Write the ratio 2 : 10 in the form 1 : n.
  30. 30th December 1959Work out the size of one exterior angle of a regular nonagon.
  31. 31st December 1959A biased coin lands on heads with probability 0.25. It is thrown 200 times. How many heads would you expect?

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