Daily Practice · Foundation Plus

June 1986 5-a-day

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June 1986

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' June 1986 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in June 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 June 1986A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
  2. 2nd June 1986A bill is £216 including VAT at 20%. Work out the amount before VAT.
  3. 3rd June 1986Does the point (4, -19) satisfy y > -4x + 3?
  4. 4th June 1986Work out 20% of 400.
  5. 5th June 1986The bearing of B from A is 207°. Work out the bearing of A from B.
  6. 6th June 1986A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  7. 7th June 1986120 people were surveyed. 50 were adults, of whom 15 said yes. 5 of the children said yes. How many said yes altogether?
  8. 8th June 1986Work out (14 x 10^12) / (7 x 10^3). Give your answer in standard form.
  9. 9th June 1986A line has gradient -4 and passes through (3, -6). Work out its equation.
  10. 10th June 1986Write the ratio 7 : 56 in the form 1 : n.
  11. 11th June 1986A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  12. 12th June 1986A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  13. 13th June 1986A box plot has minimum 12, lower quartile 14, median 19, upper quartile 27 and maximum 33. Work out the interquartile range.
  14. 14th June 1986A meal deal has 5 mains, 3 sides and 3 drinks. How many different meals are possible?
  15. 15th June 1986Make x the subject of y = 4x^2 - 11.
  16. 16th June 1986A coach travels 30 km in 0.5 hours, then 40 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  17. 17th June 1986A trapezium has parallel sides of 7 cm and 19 cm, 8 cm apart. Work out its area.
  18. 18th June 1986A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  19. 19th June 1986A scatter graph plots a person's shoe size and their height. What type of correlation would you expect?
  20. 20th June 1986A bill is £336 including VAT at 20%. Work out the amount before VAT.
  21. 21st June 1986The angles in a triangle are 2x°, 3x° and (x + 12)°. Form an equation and work out x.
  22. 22nd June 1986Jacob drives 90 km in 2 hours. Work out the average speed in km/h.
  23. 23rd June 1986Four angles meet at a point. Three of them are 66°, 58° and 175°. Work out the fourth.
  24. 24th June 1986A bag holds 8 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  25. 25th June 1986Grouped data has five classes of width 10, the first being 10 < x <= 20. The frequencies in order are 16, 11, 21, 3, 7. Write down the modal class.
  26. 26th June 1986Work out (18 x 10^7) / (9 x 10^3). Give your answer in standard form.
  27. 27th June 1986Expand and simplify 4(3x - 12).
  28. 28th June 1986Red and blue raffle tickets are in the ratio 5 : 7. There are 70 red raffle tickets. How many raffle tickets are there altogether?
  29. 29th June 1986A prism has a triangular cross-section with base 8 cm and height 7 cm. The prism is 7 cm long. Work out its volume.
  30. 30th June 1986A bag holds 3 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.

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