Daily Practice · Foundation Plus

August 1957 5-a-day

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August 1957

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1957

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 1957A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
  2. 2nd August 1957Of 55 students, 25 study French, 26 study German and 11 study both. How many study neither?
  3. 3rd August 1957A bill is £384 including VAT at 20%. Work out the amount before VAT.
  4. 4th August 1957A line has equation y = 5x - 10. Write down where it crosses the x-axis and where it crosses the y-axis.
  5. 5th August 1957A coach travels 50 km in 1 hour, then 30 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  6. 6th August 1957Four angles meet at a point. Three of them are 91°, 116° and 89°. Work out the fourth.
  7. 7th August 1957A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  8. 8th August 1957In a survey 9 households own 1 car, 6 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  9. 9th August 1957Work out (40 x 10^9) / (8 x 10^5). Give your answer in standard form.
  10. 10th August 1957Solve 4(x + 5) = 48.
  11. 11th August 1957Rohan drives 120 km in 1.5 hours. Work out the average speed in km/h.
  12. 12th August 1957A prism has a triangular cross-section with base 16 cm and height 5 cm. The prism is 6 cm long. Work out its volume.
  13. 13th August 1957A bag holds 5 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  14. 14th August 1957A box plot has a minimum of 6 and a maximum of 38. Work out the range.
  15. 15th August 1957A meal deal has 4 mains, 7 sides and 3 drinks. How many different meals are possible?
  16. 16th August 1957Use v = u + at with u = 3, a = 5 and t = 8. Work out v.
  17. 17th August 1957Red and blue raffle tickets are in the ratio 5 : 9. There are 35 red raffle tickets. How many raffle tickets are there altogether?
  18. 18th August 1957Work out the size of one exterior angle of a regular pentagon.
  19. 19th August 1957A biased coin lands on heads with probability 0.4. It is thrown 250 times. How many heads would you expect?
  20. 20th August 1957A line of best fit on a scatter graph has equation y = 5x + 18. Use it to estimate y when x = 8.
  21. 21st August 1957A bill is £96 including VAT at 20%. Work out the amount before VAT.
  22. 22nd August 19573 teas and 3 cakes cost £11.10. 2 teas and 4 cakes cost £11.10. Find the price of a tea.
  23. 23rd August 1957A map has a scale of 1 : 25000. Two villages are 3 cm apart on the map. How far apart are they in real life, in km?
  24. 24th August 1957The bearing of B from A is 045°. Work out the bearing of A from B.
  25. 25th August 1957A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  26. 26th August 1957Four classes in order have frequencies 9, 10, 7, 11. Write down the cumulative frequency at the end of the third class.
  27. 27th August 1957Work out (64 x 10^10) / (8 x 10^5). Give your answer in standard form.
  28. 28th August 1957For the curve y = 40/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  29. 29th August 1957A pack of 9 pencils costs £5.40. A pack of 27 costs £15.39. Which pack is better value?
  30. 30th August 1957A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  31. 31st August 1957A bag holds 2 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.

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