Daily Practice · Foundation Plus

December 1962 5-a-day

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December 1962

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1962

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 1962Red and blue marbles are in the ratio 3 : 5. There are 27 red marbles. How many marbles are there altogether?
  2. 2nd December 1962Four angles meet at a point. Three of them are 70°, 66° and 55°. Work out the fourth.
  3. 3rd December 1962A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  4. 4th December 1962A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
  5. 5th December 1962Work out (36 x 10^8) / (6 x 10^2). Give your answer in standard form.
  6. 6th December 1962Does the point (3, -9) satisfy y > -3x - 5?
  7. 7th December 1962A map has a scale of 1 : 10000. Two villages are 5 cm apart on the map. How far apart are they in real life, in km?
  8. 8th December 1962A prism has a triangular cross-section with base 8 cm and height 14 cm. The prism is 19 cm long. Work out its volume.
  9. 9th December 1962A bag holds 5 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  10. 10th December 1962120 people were surveyed. 90 were adults, of whom 40 said yes. 5 of the children said yes. How many said yes altogether?
  11. 11th December 1962A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
  12. 12th December 1962A line has gradient 3 and passes through (1, 0). Work out its equation.
  13. 13th December 1962A pack of 5 batteries costs £2.75. A pack of 10 costs £5.00. Which pack is better value?
  14. 14th December 1962Work out the size of one exterior angle of a regular 12-sided polygon.
  15. 15th December 1962A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  16. 16th December 1962A box plot has minimum 15, lower quartile 22, median 24, upper quartile 29 and maximum 35. Work out the interquartile range.
  17. 17th December 1962A bill is £96 including VAT at 20%. Work out the amount before VAT.
  18. 18th December 1962Make x the subject of y = 9x^2 - 2.
  19. 19th December 1962Work out 60% of 80.
  20. 20th December 1962The bearing of B from A is 324°. Work out the bearing of A from B.
  21. 21st December 1962A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  22. 22nd December 1962A scatter graph plots the length of a queue and the number of tills open. What type of correlation would you expect?
  23. 23rd December 1962Work out (27 x 10^8) / (3 x 10^3). Give your answer in standard form.
  24. 24th December 1962The angles in a triangle are 2x°, 3x° and (x + 90)°. Form an equation and work out x.
  25. 25th December 1962Write the ratio 2 : 14 in the form 1 : n.
  26. 26th December 1962A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  27. 27th December 1962A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  28. 28th December 1962Grouped data has five classes of width 10, the first being 30 < x <= 40. The frequencies in order are 11, 21, 16, 7, 3. Write down the modal class.
  29. 29th December 1962A meal deal has 9 mains, 5 sides and 6 drinks. How many different meals are possible?
  30. 30th December 1962Expand and simplify 2(5x + 2).
  31. 31st December 1962A coach travels 50 km in 1.5 hours, then 20 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.

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