Daily Practice · Foundation Plus

April 1987 5-a-day

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April 1987

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' April 1987 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in April 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 April 1987A trapezium has parallel sides of 12 cm and 23 cm, 18 cm apart. Work out its area.
  2. 2nd April 1987A biased coin lands on heads with probability 0.4. It is thrown 250 times. How many heads would you expect?
  3. 3rd April 1987A box plot has a minimum of 8 and a maximum of 25. Work out the range.
  4. 4th April 1987A bill is £144 including VAT at 20%. Work out the amount before VAT.
  5. 5th April 1987Use v = u + at with u = 3, a = 2 and t = 4. Work out v.
  6. 6th April 1987A coach travels 60 km in 1 hour, then 90 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  7. 7th April 1987Four angles meet at a point. Three of them are 113°, 73° and 125°. Work out the fourth.
  8. 8th April 1987A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  9. 9th April 1987A line of best fit on a scatter graph has equation y = 3x + 21. Use it to estimate y when x = 8.
  10. 10th April 1987Work out (48 x 10^9) / (6 x 10^4). Give your answer in standard form.
  11. 11th April 19875 teas and 1 cake cost £11.70. 3 teas and 2 cakes cost £11.85. Find the price of a tea.
  12. 12th April 1987Callum drives 150 km in 2.5 hours. Work out the average speed in km/h.
  13. 13th April 1987A prism has a triangular cross-section with base 14 cm and height 8 cm. The prism is 18 cm long. Work out its volume.
  14. 14th April 1987A bag holds 3 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  15. 15th April 1987Four classes in order have frequencies 10, 10, 4, 11. Write down the cumulative frequency at the end of the third class.
  16. 16th April 1987A meal deal has 8 mains, 4 sides and 4 drinks. How many different meals are possible?
  17. 17th April 1987For the curve y = 9/x, work out y when x = -1, and write down the equation of its vertical asymptote.
  18. 18th April 1987Red and blue stickers are in the ratio 2 : 5. There are 16 red stickers. How many stickers are there altogether?
  19. 19th April 1987Work out the size of one exterior angle of a regular hexagon.
  20. 20th April 1987A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  21. 21st April 198755 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
  22. 22nd April 1987A bill is £168 including VAT at 20%. Work out the amount before VAT.
  23. 23rd April 1987Factorise x^2 - 4x - 5.
  24. 24th April 1987A map has a scale of 1 : 10000. Two villages are 2 cm apart on the map. How far apart are they in real life, in km?
  25. 25th April 1987The bearing of B from A is 105°. Work out the bearing of A from B.
  26. 26th April 1987A bag holds 3 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  27. 27th April 1987A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
  28. 28th April 1987Work out (14 x 10^10) / (2 x 10^4). Give your answer in standard form.
  29. 29th April 1987Does the point (3, -3) satisfy y > -4x + 7?
  30. 30th April 1987A pack of 5 teabags costs £1.50. A pack of 10 costs £2.70. Which pack is better value?

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