Daily Practice · Foundation Plus

January 1977 5-a-day

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January 1977

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1977 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1977

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 197755 fish are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
  2. 2nd January 1977A bill is £216 including VAT at 20%. Work out the amount before VAT.
  3. 3rd January 1977Factorise x^2 + 10x + 24.
  4. 4th January 1977Write the ratio 3 : 6 in the form 1 : n.
  5. 5th January 1977Four angles meet at a point. Three of them are 72°, 61° and 143°. Work out the fourth.
  6. 6th January 1977A bag holds 6 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  7. 7th January 1977A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
  8. 8th January 1977Work out (56 x 10^12) / (8 x 10^4). Give your answer in standard form.
  9. 9th January 1977Does the point (0, 4) satisfy y > -4x + 8?
  10. 10th January 1977A coach travels 90 km in 1 hour, then 70 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  11. 11th January 1977A prism has a triangular cross-section with base 16 cm and height 8 cm. The prism is 11 cm long. Work out its volume.
  12. 12th January 1977A bag holds 2 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  13. 13th January 1977130 people were surveyed. 40 were adults, of whom 10 said yes. 20 of the children said yes. How many said yes altogether?
  14. 14th January 1977A meal deal has 6 mains, 5 sides and 6 drinks. How many different meals are possible?
  15. 15th January 1977A line has gradient -5 and passes through (1, -11). Work out its equation.
  16. 16th January 1977Hassan drives 90 km in 1.5 hours. Work out the average speed in km/h.
  17. 17th January 1977Work out the size of one exterior angle of a regular hexagon.
  18. 18th January 1977A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  19. 19th January 1977A box plot has minimum 4, lower quartile 6, median 9, upper quartile 14 and maximum 17. Work out the interquartile range.
  20. 20th January 1977A bill is £96 including VAT at 20%. Work out the amount before VAT.
  21. 21st January 1977Make x the subject of y = 3x^2 - 12.
  22. 22nd January 1977Red and blue stickers are in the ratio 2 : 7. There are 10 red stickers. How many stickers are there altogether?
  23. 23rd January 1977The bearing of B from A is 044°. Work out the bearing of A from B.
  24. 24th January 1977A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  25. 25th January 1977A scatter graph plots the height of a tree and its age. What type of correlation would you expect?
  26. 26th January 1977Work out (16 x 10^6) / (2 x 10^4). Give your answer in standard form.
  27. 27th January 1977The angles in a triangle are 3x°, 2x° and (x + 30)°. Form an equation and work out x.
  28. 28th January 1977A map has a scale of 1 : 10000. Two villages are 2.5 cm apart on the map. How far apart are they in real life, in km?
  29. 29th January 1977A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
  30. 30th January 1977A bag holds 6 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  31. 31st January 1977Grouped data has five classes of width 10, the first being 10 < x <= 20. The frequencies in order are 21, 7, 11, 16, 3. Write down the modal class.

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