Daily Practice · Foundation Plus

December 1953 5-a-day

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December 1953

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1953

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 1953A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
  2. 2nd December 1953A bag holds 9 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  3. 3rd December 1953A box plot has minimum 14, lower quartile 23, median 28, upper quartile 34 and maximum 44. Work out the interquartile range.
  4. 4th December 1953A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?
  5. 5th December 1953Make x the subject of y = 5x^2 - 5.
  6. 6th December 1953Hassan drives 60 km in 1.5 hours. Work out the average speed in km/h.
  7. 7th December 1953A trapezium has parallel sides of 13 cm and 16 cm, 16 cm apart. Work out its area.
  8. 8th December 1953A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  9. 9th December 1953A scatter graph plots a person's shoe size and their height. What type of correlation would you expect?
  10. 10th December 1953A bill is £696 including VAT at 20%. Work out the amount before VAT.
  11. 11th December 1953The angles in a triangle are 2x°, 2x° and (x + 50)°. Form an equation and work out x.
  12. 12th December 1953Red and blue sweets are in the ratio 5 : 8. There are 30 red sweets. How many sweets are there altogether?
  13. 13th December 1953Four angles meet at a point. Three of them are 128°, 54° and 63°. Work out the fourth.
  14. 14th December 1953A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  15. 15th December 1953Grouped data has five classes of width 5, the first being 10 < x <= 15. The frequencies in order are 3, 16, 11, 7, 21. Write down the modal class.
  16. 16th December 1953Work out (42 x 10^9) / (7 x 10^3). Give your answer in standard form.
  17. 17th December 1953Expand and simplify 3(7x + 4).
  18. 18th December 1953A map has a scale of 1 : 50000. Two villages are 2.5 cm apart on the map. How far apart are they in real life, in km?
  19. 19th December 1953A prism has a triangular cross-section with base 18 cm and height 12 cm. The prism is 11 cm long. Work out its volume.
  20. 20th December 1953A bag holds 5 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  21. 21st December 1953Of 54 students, 21 study French, 33 study German and 7 study both. How many study neither?
  22. 22nd December 1953A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
  23. 23rd December 1953A line has equation y = 5x - 25. Write down where it crosses the x-axis and where it crosses the y-axis.
  24. 24th December 1953A pack of 9 teabags costs £2.25. A pack of 18 costs £4.32. Which pack is better value?
  25. 25th December 1953Work out the size of one exterior angle of a regular 12-sided polygon.
  26. 26th December 1953A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
  27. 27th December 1953In a survey 4 households own 1 car, 8 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  28. 28th December 1953A bill is £432 including VAT at 20%. Work out the amount before VAT.
  29. 29th December 1953Solve 2(x + 7) = 22.
  30. 30th December 1953Work out 60% of 360.
  31. 31st December 1953The bearing of B from A is 208°. Work out the bearing of A from B.

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