Daily Practice · Foundation Plus

December 1957 5-a-day

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December 1957

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1957

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 1957A meal deal has 3 mains, 8 sides and 5 drinks. How many different meals are possible?
  2. 2nd December 1957The angles in a triangle are 4x°, 2x° and (x + 96)°. Form an equation and work out x.
  3. 3rd December 1957Write the ratio 8 : 64 in the form 1 : n.
  4. 4th December 1957Work out the size of one exterior angle of a regular nonagon.
  5. 5th December 1957A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
  6. 6th December 1957Grouped data has five classes of width 10, the first being 10 < x <= 20. The frequencies in order are 7, 16, 3, 21, 11. Write down the modal class.
  7. 7th December 1957A bill is £744 including VAT at 20%. Work out the amount before VAT.
  8. 8th December 1957Expand and simplify 4(6x + 6).
  9. 9th December 1957A coach travels 30 km in 1.5 hours, then 70 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  10. 10th December 1957The bearing of B from A is 087°. Work out the bearing of A from B.
  11. 11th December 1957A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  12. 12th December 1957Of 66 students, 32 study French, 21 study German and 7 study both. How many study neither?
  13. 13th December 1957Work out (42 x 10^7) / (7 x 10^3). Give your answer in standard form.
  14. 14th December 1957A line has equation y = 6x - 12. Write down where it crosses the x-axis and where it crosses the y-axis.
  15. 15th December 1957Tomasz drives 90 km in 1.5 hours. Work out the average speed in km/h.
  16. 16th December 1957A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
  17. 17th December 1957A bag holds 5 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  18. 18th December 1957In a survey 7 households own 1 car, 8 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  19. 19th December 1957A meal deal has 8 mains, 4 sides and 3 drinks. How many different meals are possible?
  20. 20th December 1957Solve 3(x + 9) = 63.
  21. 21st December 1957Red and blue marbles are in the ratio 4 : 9. There are 36 red marbles. How many marbles are there altogether?
  22. 22nd December 1957A trapezium has parallel sides of 7 cm and 9 cm, 6 cm apart. Work out its area.
  23. 23rd December 1957A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  24. 24th December 1957A box plot has a minimum of 15 and a maximum of 58. Work out the range.
  25. 25th December 1957A bill is £312 including VAT at 20%. Work out the amount before VAT.
  26. 26th December 1957Use v = u + at with u = 2, a = 8 and t = 7. Work out v.
  27. 27th December 1957A map has a scale of 1 : 25000. Two villages are 12 cm apart on the map. How far apart are they in real life, in km?
  28. 28th December 1957Four angles meet at a point. Three of them are 95°, 59° and 117°. Work out the fourth.
  29. 29th December 1957A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  30. 30th December 1957A line of best fit on a scatter graph has equation y = 8x + 20. Use it to estimate y when x = 2.
  31. 31st December 1957Work out (15 x 10^6) / (3 x 10^3). Give your answer in standard form.

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