Daily Practice · Foundation Plus

December 1987 5-a-day

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December 1987

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1987

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 1987The angles in a triangle are 2x°, x° and (x + 24)°. Form an equation and work out x.
  2. 2nd December 1987Work out 20% of 280.
  3. 3rd December 1987A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
  4. 4th December 1987A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  5. 5th December 1987Grouped data has five classes of width 5, the first being 0 < x <= 5. The frequencies in order are 7, 3, 16, 21, 11. Write down the modal class.
  6. 6th December 1987A meal deal has 7 mains, 4 sides and 3 drinks. How many different meals are possible?
  7. 7th December 1987Expand and simplify 4(8x + 6).
  8. 8th December 1987Write the ratio 6 : 54 in the form 1 : n.
  9. 9th December 1987A trapezium has parallel sides of 13 cm and 21 cm, 16 cm apart. Work out its area.
  10. 10th December 1987A biased coin lands on heads with probability 0.1. It is thrown 50 times. How many heads would you expect?
  11. 11th December 1987Of 60 students, 21 study French, 28 study German and 3 study both. How many study neither?
  12. 12th December 1987A bill is £216 including VAT at 20%. Work out the amount before VAT.
  13. 13th December 1987A line has equation y = 4x - 4. Write down where it crosses the x-axis and where it crosses the y-axis.
  14. 14th December 1987A coach travels 60 km in 1.5 hours, then 40 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  15. 15th December 1987Four angles meet at a point. Three of them are 92°, 83° and 65°. Work out the fourth.
  16. 16th December 1987A bag holds 8 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  17. 17th December 1987In a survey 2 households own 1 car, 4 own 2 cars and 9 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  18. 18th December 1987Work out (45 x 10^9) / (5 x 10^4). Give your answer in standard form.
  19. 19th December 1987Solve 6(x + 8) = 78.
  20. 20th December 1987Priya drives 125 km in 2.5 hours. Work out the average speed in km/h.
  21. 21st December 1987A prism has a triangular cross-section with base 18 cm and height 6 cm. The prism is 14 cm long. Work out its volume.
  22. 22nd December 1987A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  23. 23rd December 1987A box plot has a minimum of 4 and a maximum of 47. Work out the range.
  24. 24th December 1987A meal deal has 8 mains, 6 sides and 2 drinks. How many different meals are possible?
  25. 25th December 1987Use v = u + at with u = 13, a = 8 and t = 8. Work out v.
  26. 26th December 1987Red and blue raffle tickets are in the ratio 2 : 7. There are 16 red raffle tickets. How many raffle tickets are there altogether?
  27. 27th December 1987Work out the size of one exterior angle of a regular octagon.
  28. 28th December 1987A biased coin lands on heads with probability 0.2. It is thrown 250 times. How many heads would you expect?
  29. 29th December 1987A line of best fit on a scatter graph has equation y = 5x + 26. Use it to estimate y when x = 2.
  30. 30th December 1987A bill is £336 including VAT at 20%. Work out the amount before VAT.
  31. 31st December 19874 teas and 3 cakes cost £14.75. 3 teas and 2 cakes cost £10.20. Find the price of a tea.

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