Daily Practice · Foundation Plus

July 1981 5-a-day

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July 1981

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1981

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st July 1981The bearing of B from A is 121°. Work out the bearing of A from B.
  2. 2nd July 1981A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd July 1981Four classes in order have frequencies 4, 7, 4, 11. Write down the cumulative frequency at the end of the third class.
  4. 4th July 1981Work out (72 x 10^9) / (9 x 10^2). Give your answer in standard form.
  5. 5th July 1981For the curve y = -120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  6. 6th July 1981A coach travels 40 km in 1.5 hours, then 70 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  7. 7th July 1981A goat is tied to a post in an open field by a rope 12 m long. Describe the region of grass it can reach.
  8. 8th July 1981A bag holds 2 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th July 198135 fish are marked and released. Later 49 are caught, of which 7 are marked. Estimate the population.
  10. 10th July 1981A meal deal has 9 mains, 7 sides and 4 drinks. How many different meals are possible?
  11. 11th July 1981Factorise x^2 - 7x - 18.
  12. 12th July 1981Noah drives 280 km in 4 hours. Work out the average speed in km/h.
  13. 13th July 1981A trapezium has parallel sides of 6 cm and 14 cm, 10 cm apart. Work out its area.
  14. 14th July 1981A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  15. 15th July 1981A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
  16. 16th July 1981A bill is £816 including VAT at 20%. Work out the amount before VAT.
  17. 17th July 1981Does the point (2, 0) satisfy y > 2x - 8?
  18. 18th July 1981Red and blue stickers are in the ratio 3 : 4. There are 36 red stickers. How many stickers are there altogether?
  19. 19th July 1981Four angles meet at a point. Three of them are 68°, 80° and 68°. Work out the fourth.
  20. 20th July 1981A bag holds 5 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st July 1981170 people were surveyed. 90 were adults, of whom 45 said yes. 15 of the children said yes. How many said yes altogether?
  22. 22nd July 1981Work out (27 x 10^8) / (9 x 10^3). Give your answer in standard form.
  23. 23rd July 1981A line has gradient -5 and passes through (6, -25). Work out its equation.
  24. 24th July 1981A map has a scale of 1 : 10000. Two villages are 3 cm apart on the map. How far apart are they in real life, in km?
  25. 25th July 1981A prism has a triangular cross-section with base 22 cm and height 7 cm. The prism is 19 cm long. Work out its volume.
  26. 26th July 1981A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th July 1981A box plot has minimum 7, lower quartile 11, median 16, upper quartile 22 and maximum 25. Work out the interquartile range.
  28. 28th July 1981A meal deal has 5 mains, 3 sides and 6 drinks. How many different meals are possible?
  29. 29th July 1981Make x the subject of y = 4x^2 - 2.
  30. 30th July 1981A pack of 5 batteries costs £1.75. A pack of 20 costs £6.00. Which pack is better value?
  31. 31st July 1981Work out the size of one exterior angle of a regular decagon.

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