Daily Practice · Foundation Plus

January 1972 5-a-day

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January 1972

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1972

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st January 1972Red and blue marbles are in the ratio 7 : 9. There are 84 red marbles. How many marbles are there altogether?
  2. 2nd January 1972A prism has a triangular cross-section with base 14 cm and height 10 cm. The prism is 6 cm long. Work out its volume.
  3. 3rd January 1972A bag holds 2 red and 10 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  4. 4th January 1972A scatter graph plots how far a lorry has driven and the fuel left in its tank. What type of correlation would you expect?
  5. 5th January 1972A meal deal has 5 mains, 6 sides and 6 drinks. How many different meals are possible?
  6. 6th January 1972The angles in a triangle are 4x°, 3x° and (x + 12)°. Form an equation and work out x.
  7. 7th January 1972A 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 January 1972Work out the size of one exterior angle of a regular hexagon.
  9. 9th January 1972A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  10. 10th January 1972Grouped data has five classes of width 10, the first being 10 < x <= 20. The frequencies in order are 11, 16, 21, 7, 3. Write down the modal class.
  11. 11th January 1972A bill is £336 including VAT at 20%. Work out the amount before VAT.
  12. 12th January 1972Expand and simplify 8(8x + 3).
  13. 13th January 1972A pack of 9 teabags costs £3.60. A pack of 36 costs £12.24. Which pack is better value?
  14. 14th January 1972The bearing of B from A is 248°. Work out the bearing of A from B.
  15. 15th January 1972A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  16. 16th January 1972Of 67 students, 36 study French, 32 study German and 10 study both. How many study neither?
  17. 17th January 1972Work out (12 x 10^6) / (2 x 10^5). Give your answer in standard form.
  18. 18th January 1972A line has equation y = 5x - 25. Write down where it crosses the x-axis and where it crosses the y-axis.
  19. 19th January 1972Work out 40% of 120.
  20. 20th January 1972A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
  21. 21st January 1972A bag holds 3 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  22. 22nd January 1972In a survey 7 households own 1 car, 8 own 2 cars and 7 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  23. 23rd January 1972A meal deal has 5 mains, 5 sides and 6 drinks. How many different meals are possible?
  24. 24th January 1972Solve 5(x + 8) = 95.
  25. 25th January 1972Write the ratio 5 : 25 in the form 1 : n.
  26. 26th January 1972A trapezium has parallel sides of 4 cm and 16 cm, 14 cm apart. Work out its area.
  27. 27th January 1972A biased coin lands on heads with probability 0.1. It is thrown 500 times. How many heads would you expect?
  28. 28th January 1972A box plot has a minimum of 16 and a maximum of 46. Work out the range.
  29. 29th January 1972A bill is £168 including VAT at 20%. Work out the amount before VAT.
  30. 30th January 1972Use v = u + at with u = 14, a = 6 and t = 8. Work out v.
  31. 31st January 1972A coach travels 40 km in 1 hour, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.

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