Daily Practice · Foundation Plus

October 1956 5-a-day

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October 1956

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1956

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st October 1956A bill is £456 including VAT at 20%. Work out the amount before VAT.
  2. 2nd October 1956For the curve y = 20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
  3. 3rd October 1956Work out 20% of 80.
  4. 4th October 1956The bearing of B from A is 040°. Work out the bearing of A from B.
  5. 5th October 1956A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  6. 6th October 195630 beetles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
  7. 7th October 1956Work out (15 x 10^6) / (3 x 10^2). Give your answer in standard form.
  8. 8th October 1956Factorise x^2 + 5x - 6.
  9. 9th October 1956Write the ratio 3 : 27 in the form 1 : n.
  10. 10th October 1956A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  11. 11th October 1956A bag holds 6 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  12. 12th October 1956A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th October 1956A meal deal has 9 mains, 4 sides and 6 drinks. How many different meals are possible?
  14. 14th October 1956Does the point (-3, 9) satisfy y > -4x + 1?
  15. 15th October 1956A coach travels 80 km in 1 hour, then 80 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  16. 16th October 1956A trapezium has parallel sides of 13 cm and 23 cm, 6 cm apart. Work out its area.
  17. 17th October 1956A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  18. 18th October 1956180 people were surveyed. 40 were adults, of whom 10 said yes. 45 of the children said yes. How many said yes altogether?
  19. 19th October 1956A bill is £312 including VAT at 20%. Work out the amount before VAT.
  20. 20th October 1956A line has gradient -3 and passes through (1, -9). Work out its equation.
  21. 21st October 1956Zara drives 150 km in 2.5 hours. Work out the average speed in km/h.
  22. 22nd October 1956Four angles meet at a point. Three of them are 112°, 67° and 146°. Work out the fourth.
  23. 23rd October 1956A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  24. 24th October 1956A box plot has minimum 7, lower quartile 10, median 14, upper quartile 16 and maximum 24. Work out the interquartile range.
  25. 25th October 1956Work out (16 x 10^11) / (2 x 10^2). Give your answer in standard form.
  26. 26th October 1956Make x the subject of y = 5x^2 - 10.
  27. 27th October 1956Red and blue stickers are in the ratio 2 : 7. There are 28 red stickers. How many stickers are there altogether?
  28. 28th October 1956A prism has a triangular cross-section with base 24 cm and height 7 cm. The prism is 8 cm long. Work out its volume.
  29. 29th October 1956A bag holds 5 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  30. 30th October 1956A scatter graph plots the height of a tree and its age. What type of correlation would you expect?
  31. 31st October 1956A meal deal has 6 mains, 3 sides and 5 drinks. How many different meals are possible?

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