Daily Practice · Foundation Plus

January 1971 5-a-day

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January 1971

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1971

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 1971Four angles meet at a point. Three of them are 63°, 70° and 63°. Work out the fourth.
  2. 2nd January 1971A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd January 1971A line of best fit on a scatter graph has equation y = 2x + 32. Use it to estimate y when x = 12.
  4. 4th January 1971Work out (64 x 10^11) / (8 x 10^2). Give your answer in standard form.
  5. 5th January 19713 teas and 2 cakes cost £10.45. 1 tea and 2 cakes cost £6.35. Find the price of a tea.
  6. 6th January 1971Work out 5% of 400.
  7. 7th January 1971A prism has a triangular cross-section with base 14 cm and height 9 cm. The prism is 4 cm long. Work out its volume.
  8. 8th January 1971A bag holds 4 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th January 1971Four classes in order have frequencies 11, 12, 6, 9. Write down the cumulative frequency at the end of the third class.
  10. 10th January 1971A meal deal has 8 mains, 9 sides and 5 drinks. How many different meals are possible?
  11. 11th January 1971For the curve y = 10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
  12. 12th January 1971Write the ratio 5 : 20 in the form 1 : n.
  13. 13th January 1971Work out the size of one exterior angle of a regular hexagon.
  14. 14th January 1971A biased coin lands on heads with probability 0.4. It is thrown 50 times. How many heads would you expect?
  15. 15th January 197115 beetles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
  16. 16th January 1971A bill is £168 including VAT at 20%. Work out the amount before VAT.
  17. 17th January 1971Factorise x^2 + 9x + 18.
  18. 18th January 1971A coach travels 80 km in 0.5 hours, then 50 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  19. 19th January 1971The bearing of B from A is 271°. Work out the bearing of A from B.
  20. 20th January 1971A bag holds 10 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st January 1971A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
  22. 22nd January 1971Work out (72 x 10^9) / (8 x 10^2). Give your answer in standard form.
  23. 23rd January 1971Does the point (-3, 3) satisfy y > -x + 6?
  24. 24th January 1971Erin drives 150 km in 3 hours. Work out the average speed in km/h.
  25. 25th January 1971A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  26. 26th January 1971A bag holds 2 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th January 1971190 people were surveyed. 90 were adults, of whom 35 said yes. 5 of the children said yes. How many said yes altogether?
  28. 28th January 1971A meal deal has 3 mains, 5 sides and 5 drinks. How many different meals are possible?
  29. 29th January 1971A line has gradient -1 and passes through (2, -10). Work out its equation.
  30. 30th January 1971Red and blue marbles are in the ratio 2 : 7. There are 20 red marbles. How many marbles are there altogether?
  31. 31st January 1971A trapezium has parallel sides of 13 cm and 18 cm, 8 cm apart. Work out its area.

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