Daily Practice · Foundation Plus

December 1958 5-a-day

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December 1958

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1958

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 1958Four classes in order have frequencies 12, 11, 5, 3. Write down the cumulative frequency at the end of the third class.
  2. 2nd December 1958A bill is £192 including VAT at 20%. Work out the amount before VAT.
  3. 3rd December 1958For the curve y = 20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
  4. 4th December 1958A pack of 9 teabags costs £4.05. A pack of 36 costs £14.04. Which pack is better value?
  5. 5th December 1958The bearing of B from A is 279°. Work out the bearing of A from B.
  6. 6th December 1958A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  7. 7th December 195845 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
  8. 8th December 1958Work out (18 x 10^10) / (3 x 10^4). Give your answer in standard form.
  9. 9th December 1958Factorise x^2 + 3x - 40.
  10. 10th December 1958Work out 15% of 140.
  11. 11th December 1958A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  12. 12th December 1958A bag holds 5 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  13. 13th December 1958A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
  14. 14th December 1958A meal deal has 5 mains, 8 sides and 6 drinks. How many different meals are possible?
  15. 15th December 1958Does the point (2, 2) satisfy y > -x + 7?
  16. 16th December 1958Write the ratio 3 : 21 in the form 1 : n.
  17. 17th December 1958A trapezium has parallel sides of 13 cm and 17 cm, 14 cm apart. Work out its area.
  18. 18th December 1958A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  19. 19th December 1958180 people were surveyed. 40 were adults, of whom 10 said yes. 35 of the children said yes. How many said yes altogether?
  20. 20th December 1958A bill is £168 including VAT at 20%. Work out the amount before VAT.
  21. 21st December 1958A line has gradient 1 and passes through (1, 10). Work out its equation.
  22. 22nd December 1958A coach travels 80 km in 1 hour, then 80 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  23. 23rd December 1958Four angles meet at a point. Three of them are 51°, 110° and 151°. Work out the fourth.
  24. 24th December 1958A bag holds 9 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  25. 25th December 1958A box plot has minimum 8, lower quartile 17, median 22, upper quartile 27 and maximum 29. Work out the interquartile range.
  26. 26th December 1958Work out (35 x 10^8) / (7 x 10^4). Give your answer in standard form.
  27. 27th December 1958Make x the subject of y = 7x^2 - 6.
  28. 28th December 1958Musa drives 125 km in 2.5 hours. Work out the average speed in km/h.
  29. 29th December 1958A prism has a triangular cross-section with base 22 cm and height 3 cm. The prism is 6 cm long. Work out its volume.
  30. 30th December 1958A 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 December 1958A scatter graph plots a phone's age and its resale value. What type of correlation would you expect?

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