Daily Practice · Foundation Plus

October 1954 5-a-day

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October 1954

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1954

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 19545 teas and 3 cakes cost £16.20. 1 tea and 4 cakes cost £14.80. Find the price of a tea.
  2. 2nd October 1954Red and blue stickers are in the ratio 2 : 3. There are 24 red stickers. How many stickers are there altogether?
  3. 3rd October 1954A prism has a triangular cross-section with base 20 cm and height 11 cm. The prism is 16 cm long. Work out its volume.
  4. 4th October 1954A bag holds 3 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  5. 5th October 1954Four classes in order have frequencies 12, 4, 12, 11. Write down the cumulative frequency at the end of the third class.
  6. 6th October 1954A meal deal has 6 mains, 9 sides and 5 drinks. How many different meals are possible?
  7. 7th October 1954For the curve y = 16/x, work out y when x = 4, and write down the equation of its vertical asymptote.
  8. 8th October 1954A map has a scale of 1 : 10000. Two villages are 8.5 cm apart on the map. How far apart are they in real life, in km?
  9. 9th October 1954Work out the size of one exterior angle of a regular nonagon.
  10. 10th October 1954A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  11. 11th October 195410 fish are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
  12. 12th October 1954A bill is £168 including VAT at 20%. Work out the amount before VAT.
  13. 13th October 1954Factorise x^2 - 6x - 16.
  14. 14th October 1954A pack of 9 sponges costs £2.70. A pack of 27 costs £6.48. Which pack is better value?
  15. 15th October 1954The bearing of B from A is 041°. Work out the bearing of A from B.
  16. 16th October 1954A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  17. 17th October 1954A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
  18. 18th October 1954Work out (4 x 10^7) / (2 x 10^4). Give your answer in standard form.
  19. 19th October 1954Does the point (2, 2) satisfy y > 2x + 2?
  20. 20th October 1954Work out 20% of 80.
  21. 21st October 1954A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
  22. 22nd October 1954A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  23. 23rd October 1954110 people were surveyed. 30 were adults, of whom 15 said yes. 40 of the children said yes. How many said yes altogether?
  24. 24th October 1954A meal deal has 3 mains, 3 sides and 2 drinks. How many different meals are possible?
  25. 25th October 1954A line has gradient -2 and passes through (5, -13). Work out its equation.
  26. 26th October 1954Write the ratio 6 : 12 in the form 1 : n.
  27. 27th October 1954A trapezium has parallel sides of 7 cm and 12 cm, 18 cm apart. Work out its area.
  28. 28th October 1954A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  29. 29th October 1954A box plot has minimum 10, lower quartile 18, median 28, upper quartile 32 and maximum 42. Work out the interquartile range.
  30. 30th October 1954A bill is £720 including VAT at 20%. Work out the amount before VAT.
  31. 31st October 1954Make x the subject of y = 8x^2 - 3.

The same month at another level