Daily Practice · Foundation Plus

September 1987 5-a-day

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September 1987

30 sheets · 150 questions · Grades 4-6

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

Every sheet in September 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 September 1987Work out (35 x 10^11) / (5 x 10^2). Give your answer in standard form.
  2. 2nd September 1987Factorise x^2 - 8x + 7.
  3. 3rd September 1987A pack of 10 pencils costs £3.00. A pack of 20 costs £5.40. Which pack is better value?
  4. 4th September 1987A prism has a triangular cross-section with base 22 cm and height 3 cm. The prism is 10 cm long. Work out its volume.
  5. 5th September 1987A bag holds 4 red and 8 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  6. 6th September 1987A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
  7. 7th September 1987A meal deal has 7 mains, 9 sides and 4 drinks. How many different meals are possible?
  8. 8th September 1987Does the point (3, 14) satisfy y > x + 6?
  9. 9th September 1987Work out 60% of 200.
  10. 10th September 1987Work out the size of one exterior angle of a regular octagon.
  11. 11th September 1987A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  12. 12th September 1987130 people were surveyed. 90 were adults, of whom 45 said yes. 10 of the children said yes. How many said yes altogether?
  13. 13th September 1987A bill is £336 including VAT at 20%. Work out the amount before VAT.
  14. 14th September 1987A line has gradient 4 and passes through (1, 6). Work out its equation.
  15. 15th September 1987Write the ratio 5 : 20 in the form 1 : n.
  16. 16th September 1987The bearing of B from A is 122°. Work out the bearing of A from B.
  17. 17th September 1987A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  18. 18th September 1987A box plot has minimum 14, lower quartile 24, median 32, upper quartile 38 and maximum 46. Work out the interquartile range.
  19. 19th September 1987Work out (16 x 10^11) / (2 x 10^2). Give your answer in standard form.
  20. 20th September 1987Make x the subject of y = 8x^2 - 2.
  21. 21st September 1987A coach travels 80 km in 1 hour, then 50 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  22. 22nd September 1987A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
  23. 23rd September 1987A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  24. 24th September 1987A scatter graph plots a runner's time for 100 m and the distance they can throw a ball. What type of correlation would you expect?
  25. 25th September 1987A meal deal has 8 mains, 4 sides and 4 drinks. How many different meals are possible?
  26. 26th September 1987The angles in a triangle are 2x°, x° and (x + 136)°. Form an equation and work out x.
  27. 27th September 1987Amelia drives 100 km in 2.5 hours. Work out the average speed in km/h.
  28. 28th September 1987A trapezium has parallel sides of 8 cm and 19 cm, 14 cm apart. Work out its area.
  29. 29th September 1987A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  30. 30th September 1987Grouped data has five classes of width 10, the first being 0 < x <= 10. The frequencies in order are 3, 21, 7, 11, 16. Write down the modal class.

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