Daily Practice · Foundation Plus

August 1967 5-a-day

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August 1967

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1967

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 1967Write the ratio 5 : 10 in the form 1 : n.
  2. 2nd August 1967Work out the size of one exterior angle of a regular nonagon.
  3. 3rd August 1967A biased coin lands on heads with probability 0.25. It is thrown 200 times. How many heads would you expect?
  4. 4th August 1967Four classes in order have frequencies 3, 4, 5, 12. Write down the cumulative frequency at the end of the third class.
  5. 5th August 1967A bill is £408 including VAT at 20%. Work out the amount before VAT.
  6. 6th August 1967For the curve y = -25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  7. 7th August 1967A coach travels 20 km in 0.5 hours, then 40 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  8. 8th August 1967The bearing of B from A is 145°. Work out the bearing of A from B.
  9. 9th August 1967A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  10. 10th August 196720 newts are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
  11. 11th August 1967Work out (4 x 10^7) / (2 x 10^3). Give your answer in standard form.
  12. 12th August 1967Factorise x^2 - 3x - 54.
  13. 13th August 1967Musa drives 160 km in 4 hours. Work out the average speed in km/h.
  14. 14th August 1967A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  15. 15th August 1967A bag holds 7 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  16. 16th August 1967A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
  17. 17th August 1967A meal deal has 9 mains, 3 sides and 4 drinks. How many different meals are possible?
  18. 18th August 1967Does the point (0, 8) satisfy y > -4x + 3?
  19. 19th August 1967Red and blue raffle tickets are in the ratio 4 : 9. There are 12 red raffle tickets. How many raffle tickets are there altogether?
  20. 20th August 1967A trapezium has parallel sides of 4 cm and 9 cm, 4 cm apart. Work out its area.
  21. 21st August 1967A biased coin lands on heads with probability 0.1. It is thrown 50 times. How many heads would you expect?
  22. 22nd August 1967220 people were surveyed. 30 were adults, of whom 10 said yes. 70 of the children said yes. How many said yes altogether?
  23. 23rd August 1967A bill is £384 including VAT at 20%. Work out the amount before VAT.
  24. 24th August 1967A line has gradient 5 and passes through (4, 15). Work out its equation.
  25. 25th August 1967A map has a scale of 1 : 50000. Two villages are 4.5 cm apart on the map. How far apart are they in real life, in km?
  26. 26th August 1967Four angles meet at a point. Three of them are 41°, 102° and 67°. Work out the fourth.
  27. 27th August 1967A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  28. 28th August 1967A box plot has minimum 3, lower quartile 7, median 10, upper quartile 12 and maximum 16. Work out the interquartile range.
  29. 29th August 1967Work out (6 x 10^10) / (2 x 10^5). Give your answer in standard form.
  30. 30th August 1967Make x the subject of y = 2x^2 - 3.
  31. 31st August 1967A pack of 9 pencils costs £4.50. A pack of 36 costs £17.64. Which pack is better value?

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