Daily Practice · Foundation Plus

December 1955 5-a-day

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December 1955

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1955

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 1955Make x the subject of y = 4x^2 - 10.
  2. 2nd December 1955A map has a scale of 1 : 50000. Two villages are 11.5 cm apart on the map. How far apart are they in real life, in km?
  3. 3rd December 1955Four angles meet at a point. Three of them are 67°, 95° and 163°. Work out the fourth.
  4. 4th December 1955A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  5. 5th December 1955A scatter graph plots the temperature outside and the number of ice creams sold. What type of correlation would you expect?
  6. 6th December 1955Work out (30 x 10^11) / (6 x 10^2). Give your answer in standard form.
  7. 7th December 1955The angles in a triangle are 2x°, x° and (x + 108)°. Form an equation and work out x.
  8. 8th December 1955A pack of 9 batteries costs £4.50. A pack of 36 costs £16.20. Which pack is better value?
  9. 9th December 1955A prism has a triangular cross-section with base 20 cm and height 6 cm. The prism is 11 cm long. Work out its volume.
  10. 10th December 1955A bag holds 10 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  11. 11th December 1955Grouped data has five classes of width 10, the first being 20 < x <= 30. The frequencies in order are 21, 11, 7, 3, 16. Write down the modal class.
  12. 12th December 1955A meal deal has 6 mains, 9 sides and 6 drinks. How many different meals are possible?
  13. 13th December 1955Expand and simplify 6(6x - 1).
  14. 14th December 1955Work out 5% of 280.
  15. 15th December 1955Work out the size of one exterior angle of a regular 12-sided polygon.
  16. 16th December 1955A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  17. 17th December 1955Of 39 students, 15 study French, 24 study German and 9 study both. How many study neither?
  18. 18th December 1955A bill is £816 including VAT at 20%. Work out the amount before VAT.
  19. 19th December 1955A line has equation y = 3x - 6. Write down where it crosses the x-axis and where it crosses the y-axis.
  20. 20th December 1955Write the ratio 7 : 49 in the form 1 : n.
  21. 21st December 1955The bearing of B from A is 127°. Work out the bearing of A from B.
  22. 22nd December 1955A bag holds 3 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  23. 23rd December 1955In a survey 5 households own 1 car, 7 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  24. 24th December 1955Work out (28 x 10^7) / (7 x 10^3). Give your answer in standard form.
  25. 25th December 1955Solve 4(x - 6) = -12.
  26. 26th December 1955A coach travels 50 km in 0.5 hours, then 20 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  27. 27th December 1955A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
  28. 28th December 1955A bag holds 9 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  29. 29th December 1955A box plot has a minimum of 16 and a maximum of 31. Work out the range.
  30. 30th December 1955A meal deal has 5 mains, 9 sides and 4 drinks. How many different meals are possible?
  31. 31st December 1955Use v = u + at with u = 6, a = 4 and t = 2. Work out v.

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