Daily Practice · Foundation Plus

August 1974 5-a-day

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August 1974

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1974

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

  1. 1st August 1974Work out the size of one exterior angle of a regular pentagon.
  2. 2nd August 1974A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  3. 3rd August 1974In a survey 8 households own 1 car, 7 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  4. 4th August 1974A bill is £360 including VAT at 20%. Work out the amount before VAT.
  5. 5th August 1974Solve 3(x + 5) = 45.
  6. 6th August 1974Write the ratio 6 : 18 in the form 1 : n.
  7. 7th August 1974The bearing of B from A is 018°. Work out the bearing of A from B.
  8. 8th August 1974A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  9. 9th August 1974A box plot has a minimum of 15 and a maximum of 59. Work out the range.
  10. 10th August 1974Work out (15 x 10^12) / (5 x 10^5). Give your answer in standard form.
  11. 11th August 1974Use v = u + at with u = 4, a = 4 and t = 8. Work out v.
  12. 12th August 1974A coach travels 90 km in 0.5 hours, then 60 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  13. 13th August 1974A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  14. 14th August 1974A bag holds 9 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  15. 15th August 1974A line of best fit on a scatter graph has equation y = 9x + 28. Use it to estimate y when x = 12.
  16. 16th August 1974A meal deal has 9 mains, 3 sides and 6 drinks. How many different meals are possible?
  17. 17th August 19743 teas and 2 cakes cost £7.45. 4 teas and 2 cakes cost £8.70. Find the price of a tea.
  18. 18th August 1974Yusuf drives 112.5 km in 2.5 hours. Work out the average speed in km/h.
  19. 19th August 1974A trapezium has parallel sides of 5 cm and 8 cm, 4 cm apart. Work out its area.
  20. 20th August 1974A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  21. 21st August 1974Four classes in order have frequencies 4, 9, 8, 5. Write down the cumulative frequency at the end of the third class.
  22. 22nd August 1974A bill is £120 including VAT at 20%. Work out the amount before VAT.
  23. 23rd August 1974For the curve y = -120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  24. 24th August 1974Red and blue marbles are in the ratio 3 : 8. There are 12 red marbles. How many marbles are there altogether?
  25. 25th August 1974Four angles meet at a point. Three of them are 49°, 73° and 197°. Work out the fourth.
  26. 26th August 1974A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  27. 27th August 197440 newts are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
  28. 28th August 1974Work out (81 x 10^12) / (9 x 10^3). Give your answer in standard form.
  29. 29th August 1974Factorise x^2 + 6x + 8.
  30. 30th August 1974A map has a scale of 1 : 10000. Two villages are 6.5 cm apart on the map. How far apart are they in real life, in km?
  31. 31st August 1974A prism has a triangular cross-section with base 20 cm and height 4 cm. The prism is 12 cm long. Work out its volume.

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