Daily Practice · Foundation Plus

December 1973 5-a-day

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December 1973

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1973

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 1973Work out (16 x 10^7) / (8 x 10^4). Give your answer in standard form.
  2. 2nd December 1973For the curve y = -40/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  3. 3rd December 1973A coach travels 30 km in 1 hour, then 70 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  4. 4th December 1973A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  5. 5th December 1973A bag holds 4 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  6. 6th December 197355 newts are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
  7. 7th December 1973A meal deal has 3 mains, 3 sides and 4 drinks. How many different meals are possible?
  8. 8th December 1973Factorise x^2 - 6x - 16.
  9. 9th December 1973Bea drives 112.5 km in 2.5 hours. Work out the average speed in km/h.
  10. 10th December 1973A trapezium has parallel sides of 4 cm and 12 cm, 6 cm apart. Work out its area.
  11. 11th December 1973A biased coin lands on heads with probability 0.4. It is thrown 200 times. How many heads would you expect?
  12. 12th December 1973A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th December 1973A bill is £720 including VAT at 20%. Work out the amount before VAT.
  14. 14th December 1973Does the point (5, 23) satisfy y > 4x + 1?
  15. 15th December 1973Red and blue raffle tickets are in the ratio 3 : 4. There are 15 red raffle tickets. How many raffle tickets are there altogether?
  16. 16th December 1973Four angles meet at a point. Three of them are 47°, 53° and 191°. Work out the fourth.
  17. 17th December 1973A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  18. 18th December 1973190 people were surveyed. 80 were adults, of whom 35 said yes. 50 of the children said yes. How many said yes altogether?
  19. 19th December 1973Work out (63 x 10^6) / (9 x 10^3). Give your answer in standard form.
  20. 20th December 1973A line has gradient -5 and passes through (5, -23). Work out its equation.
  21. 21st December 1973A map has a scale of 1 : 50000. Two villages are 10.5 cm apart on the map. How far apart are they in real life, in km?
  22. 22nd December 1973A prism has a triangular cross-section with base 10 cm and height 5 cm. The prism is 9 cm long. Work out its volume.
  23. 23rd December 1973A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  24. 24th December 1973A box plot has minimum 7, lower quartile 11, median 21, upper quartile 23 and maximum 28. Work out the interquartile range.
  25. 25th December 1973A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?
  26. 26th December 1973Make x the subject of y = 9x^2 - 8.
  27. 27th December 1973A pack of 7 sponges costs £2.80. A pack of 28 costs £9.52. Which pack is better value?
  28. 28th December 1973Work out the size of one exterior angle of a regular hexagon.
  29. 29th December 1973A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  30. 30th December 1973A scatter graph plots a phone's age and its resale value. What type of correlation would you expect?
  31. 31st December 1973A bill is £144 including VAT at 20%. Work out the amount before VAT.

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