Daily Practice · Foundation Plus

July 1991 - Foundation Plus 5-a-day

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July 1991

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1991

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 1991A line has gradient -4 and passes through (3, -3). Work out its equation.
  2. 2nd July 1991Write the ratio 7 : 49 in the form 1 : n.
  3. 3rd July 1991Four angles meet at a point. Three of them are 63°, 105° and 128°. Work out the fourth.
  4. 4th July 1991A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  5. 5th July 1991A box plot has minimum 13, lower quartile 20, median 25, upper quartile 33 and maximum 35. Work out the interquartile range.
  6. 6th July 1991Work out (20 x 10^11) / (4 x 10^2). Give your answer in standard form.
  7. 7th July 1991Make x the subject of y = 4x^2 - 3.
  8. 8th July 1991A coach travels 30 km in 1.5 hours, then 20 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  9. 9th July 1991A prism has a triangular cross-section with base 4 cm and height 9 cm. The prism is 11 cm long. Work out its volume.
  10. 10th July 1991A bag holds 3 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  11. 11th July 1991A scatter graph plots how far a lorry has driven and the fuel left in its tank. What type of correlation would you expect?
  12. 12th July 1991A meal deal has 9 mains, 6 sides and 5 drinks. How many different meals are possible?
  13. 13th July 1991The angles in a triangle are 4x°, 2x° and (x + 40)°. Form an equation and work out x.
  14. 14th July 1991Rhys drives 320 km in 4 hours. Work out the average speed in km/h.
  15. 15th July 1991Work out the size of one exterior angle of a regular 12-sided polygon.
  16. 16th July 1991A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  17. 17th July 1991Grouped data has five classes of width 5, the first being 15 < x <= 20. The frequencies in order are 7, 21, 16, 11, 3. Write down the modal class.
  18. 18th July 1991A bill is £600 including VAT at 20%. Work out the amount before VAT.
  19. 19th July 1991Expand and simplify 8(4x - 9).
  20. 20th July 1991Red and blue raffle tickets are in the ratio 2 : 9. There are 20 red raffle tickets. How many raffle tickets are there altogether?
  21. 21st July 1991The bearing of B from A is 157°. Work out the bearing of A from B.
  22. 22nd July 1991A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  23. 23rd July 1991Of 49 students, 20 study French, 18 study German and 9 study both. How many study neither?
  24. 24th July 1991Work out (21 x 10^12) / (3 x 10^5). Give your answer in standard form.
  25. 25th July 1991A line has equation y = 2x - 12. Write down where it crosses the x-axis and where it crosses the y-axis.
  26. 26th July 1991A map has a scale of 1 : 10000. Two villages are 2.5 cm apart on the map. How far apart are they in real life, in km?
  27. 27th July 1991A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  28. 28th July 1991A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  29. 29th July 1991In a survey 2 households own 1 car, 7 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  30. 30th July 1991A meal deal has 8 mains, 9 sides and 6 drinks. How many different meals are possible?
  31. 31st July 1991Solve 7(x + 1) = 84.

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