Daily Practice · Foundation Plus

December 1971 5-a-day

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December 1971

31 sheets · 155 questions · Grades 4-6

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

Every sheet in December 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 December 19715 teas and 1 cake cost £10.85. 3 teas and 2 cakes cost £10.85. Find the price of a tea.
  2. 2nd December 1971A pack of 12 batteries costs £3.00. A pack of 36 costs £7.20. Which pack is better value?
  3. 3rd December 1971Work out the size of one exterior angle of a regular octagon.
  4. 4th December 1971A biased coin lands on heads with probability 0.2. It is thrown 250 times. How many heads would you expect?
  5. 5th December 1971Four classes in order have frequencies 12, 12, 4, 8. Write down the cumulative frequency at the end of the third class.
  6. 6th December 1971A bill is £504 including VAT at 20%. Work out the amount before VAT.
  7. 7th December 1971For the curve y = 40/x, work out y when x = 4, and write down the equation of its vertical asymptote.
  8. 8th December 1971Work out 75% of 60.
  9. 9th December 1971The bearing of B from A is 002°. Work out the bearing of A from B.
  10. 10th December 1971A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  11. 11th December 197160 voles are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
  12. 12th December 1971Work out (35 x 10^10) / (5 x 10^2). Give your answer in standard form.
  13. 13th December 1971Factorise x^2 + 7x + 12.
  14. 14th December 1971Write the ratio 2 : 12 in the form 1 : n.
  15. 15th December 1971A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
  16. 16th December 1971A bag holds 5 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  17. 17th December 1971A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
  18. 18th December 1971A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
  19. 19th December 1971Does the point (0, 3) satisfy y > -3x - 4?
  20. 20th December 1971A coach travels 30 km in 1 hour, then 30 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  21. 21st December 1971A trapezium has parallel sides of 3 cm and 7 cm, 12 cm apart. Work out its area.
  22. 22nd December 1971A biased coin lands on heads with probability 0.1. It is thrown 50 times. How many heads would you expect?
  23. 23rd December 197190 people were surveyed. 80 were adults, of whom 30 said yes. 5 of the children said yes. How many said yes altogether?
  24. 24th December 1971A bill is £408 including VAT at 20%. Work out the amount before VAT.
  25. 25th December 1971A line has gradient 5 and passes through (3, 7). Work out its equation.
  26. 26th December 1971Rohan drives 180 km in 3 hours. Work out the average speed in km/h.
  27. 27th December 1971Four angles meet at a point. Three of them are 80°, 80° and 66°. Work out the fourth.
  28. 28th December 1971A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  29. 29th December 1971A box plot has minimum 12, lower quartile 16, median 20, upper quartile 27 and maximum 35. Work out the interquartile range.
  30. 30th December 1971Work out (28 x 10^12) / (7 x 10^3). Give your answer in standard form.
  31. 31st December 1971Make x the subject of y = 2x^2 - 6.

The same month at another level