Daily Practice · Foundation Plus

August 1961 5-a-day

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August 1961

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1961

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 1961Solve 5(x - 9) = -20.
  2. 2nd August 1961Work out 5% of 180.
  3. 3rd August 1961The bearing of B from A is 319°. Work out the bearing of A from B.
  4. 4th August 1961A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  5. 5th August 1961A box plot has a minimum of 6 and a maximum of 59. Work out the range.
  6. 6th August 1961Work out (36 x 10^12) / (4 x 10^4). Give your answer in standard form.
  7. 7th August 1961Use v = u + at with u = 12, a = 8 and t = 5. Work out v.
  8. 8th August 1961Write the ratio 7 : 63 in the form 1 : n.
  9. 9th August 1961A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
  10. 10th August 1961A bag holds 2 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  11. 11th August 1961A line of best fit on a scatter graph has equation y = 4x + 33. Use it to estimate y when x = 2.
  12. 12th August 1961A meal deal has 8 mains, 4 sides and 2 drinks. How many different meals are possible?
  13. 13th August 19612 teas and 2 cakes cost £6.20. 1 tea and 3 cakes cost £5.60. Find the price of a tea.
  14. 14th August 1961A coach travels 30 km in 1.5 hours, then 30 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  15. 15th August 1961A trapezium has parallel sides of 8 cm and 19 cm, 14 cm apart. Work out its area.
  16. 16th August 1961A biased coin lands on heads with probability 0.25. It is thrown 250 times. How many heads would you expect?
  17. 17th August 1961Four classes in order have frequencies 11, 4, 5, 6. Write down the cumulative frequency at the end of the third class.
  18. 18th August 1961A bill is £288 including VAT at 20%. Work out the amount before VAT.
  19. 19th August 1961For the curve y = -5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  20. 20th August 1961Noah drives 240 km in 4 hours. Work out the average speed in km/h.
  21. 21st August 1961Four angles meet at a point. Three of them are 134°, 126° and 58°. Work out the fourth.
  22. 22nd August 1961A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  23. 23rd August 196130 beetles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
  24. 24th August 1961Work out (21 x 10^7) / (3 x 10^5). Give your answer in standard form.
  25. 25th August 1961Factorise x^2 + 3x - 54.
  26. 26th August 1961Red and blue sweets are in the ratio 3 : 4. There are 12 red sweets. How many sweets are there altogether?
  27. 27th August 1961A prism has a triangular cross-section with base 14 cm and height 6 cm. The prism is 20 cm long. Work out its volume.
  28. 28th August 1961A bag holds 3 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  29. 29th August 1961A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
  30. 30th August 1961A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?
  31. 31st August 1961Does the point (5, -3) satisfy y > -x - 5?

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