Daily Practice · Foundation Plus

January 1962 5-a-day

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January 1962

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1962

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 1962A bag holds 7 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd January 196260 fish are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
  3. 3rd January 1962A meal deal has 5 mains, 8 sides and 6 drinks. How many different meals are possible?
  4. 4th January 1962Factorise x^2 - x - 20.
  5. 5th January 1962A map has a scale of 1 : 50000. Two villages are 7.5 cm apart on the map. How far apart are they in real life, in km?
  6. 6th January 1962A trapezium has parallel sides of 10 cm and 22 cm, 6 cm apart. Work out its area.
  7. 7th January 1962A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  8. 8th January 1962A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
  9. 9th January 1962A bill is £744 including VAT at 20%. Work out the amount before VAT.
  10. 10th January 1962Does the point (3, -7) satisfy y > -3x + 1?
  11. 11th January 1962A pack of 5 sponges costs £1.25. A pack of 15 costs £3.30. Which pack is better value?
  12. 12th January 1962Four angles meet at a point. Three of them are 100°, 92° and 89°. Work out the fourth.
  13. 13th January 1962A bag holds 6 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th January 1962150 people were surveyed. 90 were adults, of whom 20 said yes. 5 of the children said yes. How many said yes altogether?
  15. 15th January 1962Work out (25 x 10^11) / (5 x 10^5). Give your answer in standard form.
  16. 16th January 1962A line has gradient 3 and passes through (2, 7). Work out its equation.
  17. 17th January 1962Work out 10% of 400.
  18. 18th January 1962A prism has a triangular cross-section with base 16 cm and height 5 cm. The prism is 12 cm long. Work out its volume.
  19. 19th January 1962A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th January 1962A box plot has minimum 1, lower quartile 3, median 9, upper quartile 18 and maximum 27. Work out the interquartile range.
  21. 21st January 1962A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
  22. 22nd January 1962Make x the subject of y = 6x^2 - 6.
  23. 23rd January 1962Write the ratio 7 : 49 in the form 1 : n.
  24. 24th January 1962Work out the size of one exterior angle of a regular 12-sided polygon.
  25. 25th January 1962A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  26. 26th January 1962A scatter graph plots the age of a car and its value. What type of correlation would you expect?
  27. 27th January 1962A bill is £48 including VAT at 20%. Work out the amount before VAT.
  28. 28th January 1962The angles in a triangle are 3x°, 2x° and (x + 114)°. Form an equation and work out x.
  29. 29th January 1962A coach travels 60 km in 1 hour, then 70 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  30. 30th January 1962The bearing of B from A is 034°. Work out the bearing of A from B.
  31. 31st January 1962A bag holds 3 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.

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