Daily Practice · Foundation Plus

January 1990 5-a-day

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January 1990

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1990

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 1990For the curve y = -48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  2. 2nd January 1990Write the ratio 2 : 18 in the form 1 : n.
  3. 3rd January 1990A trapezium has parallel sides of 10 cm and 21 cm, 18 cm apart. Work out its area.
  4. 4th January 1990A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  5. 5th January 199015 fish are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
  6. 6th January 1990A bill is £384 including VAT at 20%. Work out the amount before VAT.
  7. 7th January 1990Factorise x^2 - x - 20.
  8. 8th January 1990A coach travels 80 km in 1 hour, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  9. 9th January 1990Four angles meet at a point. Three of them are 86°, 111° and 66°. Work out the fourth.
  10. 10th January 1990A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  11. 11th January 1990A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
  12. 12th January 1990Work out (36 x 10^9) / (9 x 10^2). Give your answer in standard form.
  13. 13th January 1990Does the point (-2, 0) satisfy y > -x + 1?
  14. 14th January 1990Sanjay drives 135 km in 3 hours. Work out the average speed in km/h.
  15. 15th January 1990A prism has a triangular cross-section with base 4 cm and height 4 cm. The prism is 15 cm long. Work out its volume.
  16. 16th January 1990A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  17. 17th January 1990190 people were surveyed. 50 were adults, of whom 5 said yes. 15 of the children said yes. How many said yes altogether?
  18. 18th January 1990A meal deal has 6 mains, 4 sides and 3 drinks. How many different meals are possible?
  19. 19th January 1990A line has gradient -2 and passes through (2, -13). Work out its equation.
  20. 20th January 1990Red and blue marbles are in the ratio 4 : 5. There are 44 red marbles. How many marbles are there altogether?
  21. 21st January 1990Work out the size of one exterior angle of a regular decagon.
  22. 22nd January 1990A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  23. 23rd January 1990A box plot has minimum 6, lower quartile 11, median 15, upper quartile 23 and maximum 33. Work out the interquartile range.
  24. 24th January 1990A bill is £912 including VAT at 20%. Work out the amount before VAT.
  25. 25th January 1990Make x the subject of y = 2x^2 - 8.
  26. 26th January 1990A map has a scale of 1 : 50000. Two villages are 14 cm apart on the map. How far apart are they in real life, in km?
  27. 27th January 1990The bearing of B from A is 324°. Work out the bearing of A from B.
  28. 28th January 1990A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  29. 29th January 1990A 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 January 1990Work out (30 x 10^8) / (6 x 10^2). Give your answer in standard form.
  31. 31st January 1990The angles in a triangle are 3x°, 2x° and (x + 84)°. Form an equation and work out x.

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