Daily Practice · Foundation Plus

December 1960 5-a-day

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December 1960

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1960 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1960

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 1960A bag holds 8 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd December 196040 beetles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
  3. 3rd December 1960A meal deal has 9 mains, 4 sides and 5 drinks. How many different meals are possible?
  4. 4th December 1960Factorise x^2 + 4x + 3.
  5. 5th December 1960A coach travels 20 km in 1.5 hours, then 50 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  6. 6th December 1960A trapezium has parallel sides of 6 cm and 13 cm, 6 cm apart. Work out its area.
  7. 7th December 1960A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  8. 8th December 1960A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
  9. 9th December 1960A bill is £144 including VAT at 20%. Work out the amount before VAT.
  10. 10th December 1960Does the point (5, -7) satisfy y > -3x + 2?
  11. 11th December 1960Aisha drives 90 km in 1.5 hours. Work out the average speed in km/h.
  12. 12th December 1960Four angles meet at a point. Three of them are 43°, 44° and 217°. Work out the fourth.
  13. 13th December 1960A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th December 1960140 people were surveyed. 50 were adults, of whom 15 said yes. 20 of the children said yes. How many said yes altogether?
  15. 15th December 1960Work out (42 x 10^11) / (6 x 10^2). Give your answer in standard form.
  16. 16th December 1960A line has gradient 4 and passes through (4, 19). Work out its equation.
  17. 17th December 1960Red and blue raffle tickets are in the ratio 3 : 4. There are 21 red raffle tickets. How many raffle tickets are there altogether?
  18. 18th December 1960A prism has a triangular cross-section with base 8 cm and height 5 cm. The prism is 7 cm long. Work out its volume.
  19. 19th December 1960A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th December 1960A box plot has minimum 3, lower quartile 12, median 17, upper quartile 20 and maximum 30. Work out the interquartile range.
  21. 21st December 1960A meal deal has 4 mains, 4 sides and 5 drinks. How many different meals are possible?
  22. 22nd December 1960Make x the subject of y = 2x^2 - 3.
  23. 23rd December 1960A map has a scale of 1 : 50000. Two villages are 14 cm apart on the map. How far apart are they in real life, in km?
  24. 24th December 1960Work out the size of one exterior angle of a regular octagon.
  25. 25th December 1960A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
  26. 26th December 1960A scatter graph plots a person's shoe size and their height. What type of correlation would you expect?
  27. 27th December 1960A bill is £384 including VAT at 20%. Work out the amount before VAT.
  28. 28th December 1960The angles in a triangle are 4x°, 3x° and (x + 84)°. Form an equation and work out x.
  29. 29th December 1960A pack of 6 sponges costs £2.10. A pack of 12 costs £4.08. Which pack is better value?
  30. 30th December 1960The bearing of B from A is 348°. Work out the bearing of A from B.
  31. 31st December 1960A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.

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