Daily Practice · Foundation Plus

August 1965 5-a-day

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August 1965

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1965

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 1965A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  2. 2nd August 1965A line of best fit on a scatter graph has equation y = 9x + 27. Use it to estimate y when x = 3.
  3. 3rd August 1965Work out (42 x 10^9) / (7 x 10^4). Give your answer in standard form.
  4. 4th August 19653 teas and 4 cakes cost £16.60. 1 tea and 2 cakes cost £7.70. Find the price of a tea.
  5. 5th August 1965A pack of 10 batteries costs £6.00. A pack of 40 costs £22.40. Which pack is better value?
  6. 6th August 1965A prism has a triangular cross-section with base 6 cm and height 9 cm. The prism is 8 cm long. Work out its volume.
  7. 7th August 1965A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  8. 8th August 1965Four classes in order have frequencies 8, 4, 10, 9. Write down the cumulative frequency at the end of the third class.
  9. 9th August 1965A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?
  10. 10th August 1965For the curve y = 28/x, work out y when x = 4, and write down the equation of its vertical asymptote.
  11. 11th August 1965Work out 75% of 100.
  12. 12th August 1965Work out the size of one exterior angle of a regular octagon.
  13. 13th August 1965A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  14. 14th August 196520 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
  15. 15th August 1965A bill is £192 including VAT at 20%. Work out the amount before VAT.
  16. 16th August 1965Factorise x^2 - 2x - 8.
  17. 17th August 1965Write the ratio 4 : 16 in the form 1 : n.
  18. 18th August 1965The bearing of B from A is 185°. Work out the bearing of A from B.
  19. 19th August 1965A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  20. 20th August 1965A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
  21. 21st August 1965Work out (12 x 10^10) / (6 x 10^2). Give your answer in standard form.
  22. 22nd August 1965Does the point (3, -10) satisfy y > -x - 3?
  23. 23rd August 1965A coach travels 20 km in 1 hour, then 70 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  24. 24th August 1965A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
  25. 25th August 1965A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  26. 26th August 1965150 people were surveyed. 40 were adults, of whom 5 said yes. 55 of the children said yes. How many said yes altogether?
  27. 27th August 1965A meal deal has 4 mains, 4 sides and 5 drinks. How many different meals are possible?
  28. 28th August 1965A line has gradient 2 and passes through (2, 0). Work out its equation.
  29. 29th August 1965Ellis drives 240 km in 3 hours. Work out the average speed in km/h.
  30. 30th August 1965A trapezium has parallel sides of 6 cm and 9 cm, 18 cm apart. Work out its area.
  31. 31st August 1965A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?

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