Daily Practice · Foundation Plus

December 1954 5-a-day

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December 1954

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1954

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 1954Work out 10% of 200.
  2. 2nd December 1954A trapezium has parallel sides of 7 cm and 11 cm, 6 cm apart. Work out its area.
  3. 3rd December 1954A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
  4. 4th December 1954A line of best fit on a scatter graph has equation y = 6x + 22. Use it to estimate y when x = 9.
  5. 5th December 1954A bill is £624 including VAT at 20%. Work out the amount before VAT.
  6. 6th December 19544 teas and 4 cakes cost £11.20. 3 teas and 5 cakes cost £12.10. Find the price of a tea.
  7. 7th December 1954Write the ratio 4 : 16 in the form 1 : n.
  8. 8th December 1954Four angles meet at a point. Three of them are 63°, 117° and 35°. Work out the fourth.
  9. 9th December 1954A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  10. 10th December 1954Four classes in order have frequencies 10, 5, 9, 4. Write down the cumulative frequency at the end of the third class.
  11. 11th December 1954Work out (35 x 10^6) / (7 x 10^4). Give your answer in standard form.
  12. 12th December 1954For the curve y = 20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  13. 13th December 1954A coach travels 20 km in 0.5 hours, then 20 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  14. 14th December 1954A prism has a triangular cross-section with base 14 cm and height 14 cm. The prism is 16 cm long. Work out its volume.
  15. 15th December 1954A bag holds 6 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  16. 16th December 195450 fish are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
  17. 17th December 1954A meal deal has 6 mains, 9 sides and 2 drinks. How many different meals are possible?
  18. 18th December 1954Factorise x^2 + 9x + 18.
  19. 19th December 1954Bea drives 150 km in 3 hours. Work out the average speed in km/h.
  20. 20th December 1954Work out the size of one exterior angle of a regular decagon.
  21. 21st December 1954A biased coin lands on heads with probability 0.25. It is thrown 250 times. How many heads would you expect?
  22. 22nd December 1954A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
  23. 23rd December 1954A bill is £360 including VAT at 20%. Work out the amount before VAT.
  24. 24th December 1954Does the point (-3, 13) satisfy y > -2x + 2?
  25. 25th December 1954Red and blue stickers are in the ratio 2 : 9. There are 18 red stickers. How many stickers are there altogether?
  26. 26th December 1954The bearing of B from A is 070°. Work out the bearing of A from B.
  27. 27th December 1954A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  28. 28th December 1954100 people were surveyed. 30 were adults, of whom 15 said yes. 30 of the children said yes. How many said yes altogether?
  29. 29th December 1954Work out (15 x 10^8) / (3 x 10^4). Give your answer in standard form.
  30. 30th December 1954A line has gradient 1 and passes through (5, -3). Work out its equation.
  31. 31st December 1954A map has a scale of 1 : 50000. Two villages are 5 cm apart on the map. How far apart are they in real life, in km?

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