Daily Practice · Foundation Plus

January 1986 5-a-day

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January 1986

31 sheets · 155 questions · Grades 4-6

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

Every sheet in January 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 January 1986A bag holds 3 red and 9 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd January 1986A line of best fit on a scatter graph has equation y = 7x + 25. Use it to estimate y when x = 6.
  3. 3rd January 1986A meal deal has 5 mains, 3 sides and 2 drinks. How many different meals are possible?
  4. 4th January 19863 teas and 2 cakes cost £13.15. 2 teas and 2 cakes cost £11.10. Find the price of a tea.
  5. 5th January 1986Kwame drives 90 km in 1.5 hours. Work out the average speed in km/h.
  6. 6th January 1986Work out the size of one exterior angle of a regular decagon.
  7. 7th January 1986A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  8. 8th January 1986Four classes in order have frequencies 12, 12, 11, 10. Write down the cumulative frequency at the end of the third class.
  9. 9th January 1986A bill is £960 including VAT at 20%. Work out the amount before VAT.
  10. 10th January 1986For the curve y = 12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  11. 11th January 1986Red and blue marbles are in the ratio 5 : 9. There are 70 red marbles. How many marbles are there altogether?
  12. 12th January 1986The bearing of B from A is 315°. Work out the bearing of A from B.
  13. 13th January 1986A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th January 198655 fish are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
  15. 15th January 1986Work out (81 x 10^6) / (9 x 10^3). Give your answer in standard form.
  16. 16th January 1986Factorise x^2 - 64.
  17. 17th January 1986A map has a scale of 1 : 25000. Two villages are 11 cm apart on the map. How far apart are they in real life, in km?
  18. 18th January 1986A goat is tied to a post in an open field by a rope 11 m long. Describe the region of grass it can reach.
  19. 19th January 1986A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th January 1986A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
  21. 21st January 1986A meal deal has 5 mains, 8 sides and 6 drinks. How many different meals are possible?
  22. 22nd January 1986Does the point (3, -2) satisfy y > -2x + 1?
  23. 23rd January 1986A pack of 4 pencils costs £1.20. A pack of 16 costs £3.84. Which pack is better value?
  24. 24th January 1986A trapezium has parallel sides of 8 cm and 15 cm, 12 cm apart. Work out its area.
  25. 25th January 1986A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?
  26. 26th January 1986230 people were surveyed. 60 were adults, of whom 30 said yes. 70 of the children said yes. How many said yes altogether?
  27. 27th January 1986A bill is £744 including VAT at 20%. Work out the amount before VAT.
  28. 28th January 1986A line has gradient -1 and passes through (5, 4). Work out its equation.
  29. 29th January 1986Work out 30% of 320.
  30. 30th January 1986Four angles meet at a point. Three of them are 53°, 72° and 171°. Work out the fourth.
  31. 31st January 1986A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.

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