Daily Practice · Foundation Plus

January 1987 5-a-day

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January 1987

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1987

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

  1. 1st January 1987Work out the size of one exterior angle of a regular pentagon.
  2. 2nd January 1987A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
  3. 3rd January 1987A scatter graph plots the height of a tree and its age. What type of correlation would you expect?
  4. 4th January 1987A bill is £72 including VAT at 20%. Work out the amount before VAT.
  5. 5th January 1987The angles in a triangle are 4x°, 2x° and (x + 82)°. Form an equation and work out x.
  6. 6th January 1987Write the ratio 6 : 24 in the form 1 : n.
  7. 7th January 1987The bearing of B from A is 131°. Work out the bearing of A from B.
  8. 8th January 1987A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  9. 9th January 1987Grouped data has five classes of width 5, the first being 0 < x <= 5. The frequencies in order are 11, 16, 7, 3, 21. Write down the modal class.
  10. 10th January 1987Work out (8 x 10^6) / (4 x 10^5). Give your answer in standard form.
  11. 11th January 1987Expand and simplify 5(7x - 5).
  12. 12th January 1987A coach travels 90 km in 0.5 hours, then 50 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  13. 13th January 1987A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  14. 14th January 1987A bag holds 7 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  15. 15th January 1987Of 64 students, 25 study French, 35 study German and 12 study both. How many study neither?
  16. 16th January 1987A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?
  17. 17th January 1987A line has equation y = 3x - 12. Write down where it crosses the x-axis and where it crosses the y-axis.
  18. 18th January 1987Yusuf drives 160 km in 4 hours. Work out the average speed in km/h.
  19. 19th January 1987A trapezium has parallel sides of 13 cm and 20 cm, 4 cm apart. Work out its area.
  20. 20th January 1987A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
  21. 21st January 1987In a survey 6 households own 1 car, 4 own 2 cars and 7 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  22. 22nd January 1987A bill is £792 including VAT at 20%. Work out the amount before VAT.
  23. 23rd January 1987Solve 6(x + 4) = 42.
  24. 24th January 1987Red and blue sweets are in the ratio 3 : 8. There are 27 red sweets. How many sweets are there altogether?
  25. 25th January 1987Four angles meet at a point. Three of them are 72°, 89° and 118°. Work out the fourth.
  26. 26th January 1987A bag holds 10 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  27. 27th January 1987A box plot has a minimum of 17 and a maximum of 28. Work out the range.
  28. 28th January 1987Work out (63 x 10^10) / (9 x 10^5). Give your answer in standard form.
  29. 29th January 1987Use v = u + at with u = 8, a = 3 and t = 3. Work out v.
  30. 30th January 1987A map has a scale of 1 : 50000. Two villages are 10 cm apart on the map. How far apart are they in real life, in km?
  31. 31st January 1987A prism has a triangular cross-section with base 14 cm and height 9 cm. The prism is 20 cm long. Work out its volume.

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