Daily Practice · Foundation Plus

October 1986 5-a-day

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October 1986

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1986

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

  1. 1st October 1986For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  2. 2nd October 1986A pack of 8 batteries costs £4.00. A pack of 24 costs £10.56. Which pack is better value?
  3. 3rd October 1986A trapezium has parallel sides of 11 cm and 23 cm, 16 cm apart. Work out its area.
  4. 4th October 1986A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
  5. 5th October 198650 fish are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
  6. 6th October 1986A bill is £936 including VAT at 20%. Work out the amount before VAT.
  7. 7th October 1986Factorise x^2 - 5x + 6.
  8. 8th October 1986Work out 25% of 260.
  9. 9th October 1986Four angles meet at a point. Three of them are 113°, 75° and 88°. Work out the fourth.
  10. 10th October 1986A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  11. 11th October 1986A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
  12. 12th October 1986Work out (24 x 10^9) / (3 x 10^3). Give your answer in standard form.
  13. 13th October 1986Does the point (-1, -2) satisfy y > 4x - 2?
  14. 14th October 1986Write the ratio 6 : 54 in the form 1 : n.
  15. 15th October 1986A prism has a triangular cross-section with base 18 cm and height 13 cm. The prism is 16 cm long. Work out its volume.
  16. 16th October 1986A bag holds 4 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  17. 17th October 198690 people were surveyed. 90 were adults, of whom 15 said yes. 0 of the children said yes. How many said yes altogether?
  18. 18th October 1986A meal deal has 4 mains, 5 sides and 5 drinks. How many different meals are possible?
  19. 19th October 1986A line has gradient 3 and passes through (2, 3). Work out its equation.
  20. 20th October 1986A coach travels 60 km in 1.5 hours, then 60 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  21. 21st October 1986Work out the size of one exterior angle of a regular pentagon.
  22. 22nd October 1986A biased coin lands on heads with probability 0.1. It is thrown 250 times. How many heads would you expect?
  23. 23rd October 1986A box plot has minimum 6, lower quartile 11, median 15, upper quartile 24 and maximum 32. Work out the interquartile range.
  24. 24th October 1986A bill is £408 including VAT at 20%. Work out the amount before VAT.
  25. 25th October 1986Make x the subject of y = 5x^2 - 2.
  26. 26th October 1986Leo drives 160 km in 2 hours. Work out the average speed in km/h.
  27. 27th October 1986The bearing of B from A is 227°. Work out the bearing of A from B.
  28. 28th October 1986A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  29. 29th October 1986A scatter graph plots how far a lorry has driven and the fuel left in its tank. What type of correlation would you expect?
  30. 30th October 1986Work out (24 x 10^8) / (3 x 10^4). Give your answer in standard form.
  31. 31st October 1986The angles in a triangle are 3x°, 2x° and (x + 42)°. Form an equation and work out x.

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