Daily Practice · Foundation Plus

August 1972 5-a-day

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August 1972

31 sheets · 155 questions · Grades 4-6

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

Every sheet in August 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 August 1972Of 65 students, 26 study French, 30 study German and 4 study both. How many study neither?
  2. 2nd August 1972Work out (12 x 10^11) / (4 x 10^5). Give your answer in standard form.
  3. 3rd August 1972A line has equation y = 3x - 6. Write down where it crosses the x-axis and where it crosses the y-axis.
  4. 4th August 1972A map has a scale of 1 : 50000. Two villages are 13.5 cm apart on the map. How far apart are they in real life, in km?
  5. 5th August 1972A prism has a triangular cross-section with base 14 cm and height 8 cm. The prism is 8 cm long. Work out its volume.
  6. 6th August 1972A bag holds 3 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  7. 7th August 1972In a survey 3 households own 1 car, 7 own 2 cars and 8 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  8. 8th August 1972A meal deal has 5 mains, 6 sides and 4 drinks. How many different meals are possible?
  9. 9th August 1972Solve 7(x - 8) = -14.
  10. 10th August 1972A pack of 12 teabags costs £3.00. A pack of 36 costs £7.56. Which pack is better value?
  11. 11th August 1972Work out the size of one exterior angle of a regular octagon.
  12. 12th August 1972A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  13. 13th August 1972A box plot has a minimum of 15 and a maximum of 29. Work out the range.
  14. 14th August 1972A bill is £744 including VAT at 20%. Work out the amount before VAT.
  15. 15th August 1972Use v = u + at with u = 8, a = 5 and t = 3. Work out v.
  16. 16th August 1972Work out 30% of 80.
  17. 17th August 1972The bearing of B from A is 033°. Work out the bearing of A from B.
  18. 18th August 1972A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  19. 19th August 1972A line of best fit on a scatter graph has equation y = 8x + 9. Use it to estimate y when x = 3.
  20. 20th August 1972Work out (21 x 10^9) / (7 x 10^4). Give your answer in standard form.
  21. 21st August 19725 teas and 1 cake cost £7.90. 2 teas and 2 cakes cost £7.80. Find the price of a tea.
  22. 22nd August 1972Write the ratio 4 : 12 in the form 1 : n.
  23. 23rd August 1972A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  24. 24th August 1972A bag holds 2 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  25. 25th August 1972Four classes in order have frequencies 12, 4, 7, 10. Write down the cumulative frequency at the end of the third class.
  26. 26th August 1972A meal deal has 3 mains, 9 sides and 6 drinks. How many different meals are possible?
  27. 27th August 1972For the curve y = 110/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  28. 28th August 1972A coach travels 50 km in 1 hour, then 50 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  29. 29th August 1972A trapezium has parallel sides of 8 cm and 19 cm, 12 cm apart. Work out its area.
  30. 30th August 1972A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  31. 31st August 197225 voles are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.

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