Daily Practice · Foundation Plus

October 1958 5-a-day

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October 1958

31 sheets · 155 questions · Grades 4-6

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

Every sheet in October 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 October 1958A bag holds 8 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd October 195815 beetles are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
  3. 3rd October 1958A meal deal has 8 mains, 3 sides and 4 drinks. How many different meals are possible?
  4. 4th October 1958Factorise x^2 + 7x - 18.
  5. 5th October 1958Zara drives 120 km in 2 hours. Work out the average speed in km/h.
  6. 6th October 1958A trapezium has parallel sides of 11 cm and 16 cm, 16 cm apart. Work out its area.
  7. 7th October 1958A biased coin lands on heads with probability 0.4. It is thrown 200 times. How many heads would you expect?
  8. 8th October 1958A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
  9. 9th October 1958A bill is £840 including VAT at 20%. Work out the amount before VAT.
  10. 10th October 1958Does the point (-3, 6) satisfy y > -3x + 1?
  11. 11th October 1958Red and blue stickers are in the ratio 4 : 7. There are 48 red stickers. How many stickers are there altogether?
  12. 12th October 1958Four angles meet at a point. Three of them are 64°, 52° and 177°. Work out the fourth.
  13. 13th October 1958A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th October 1958190 people were surveyed. 50 were adults, of whom 5 said yes. 5 of the children said yes. How many said yes altogether?
  15. 15th October 1958Work out (49 x 10^7) / (7 x 10^5). Give your answer in standard form.
  16. 16th October 1958A line has gradient -1 and passes through (1, -6). Work out its equation.
  17. 17th October 1958A map has a scale of 1 : 50000. Two villages are 9.5 cm apart on the map. How far apart are they in real life, in km?
  18. 18th October 1958A prism has a triangular cross-section with base 24 cm and height 11 cm. The prism is 8 cm long. Work out its volume.
  19. 19th October 1958A bag holds 3 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th October 1958A box plot has minimum 3, lower quartile 7, median 14, upper quartile 16 and maximum 23. Work out the interquartile range.
  21. 21st October 1958A meal deal has 7 mains, 9 sides and 6 drinks. How many different meals are possible?
  22. 22nd October 1958Make x the subject of y = 7x^2 - 10.
  23. 23rd October 1958A pack of 5 teabags costs £1.00. A pack of 20 costs £2.80. Which pack is better value?
  24. 24th October 1958Work out the size of one exterior angle of a regular decagon.
  25. 25th October 1958A biased coin lands on heads with probability 0.2. It is thrown 250 times. How many heads would you expect?
  26. 26th October 1958A scatter graph plots how far a lorry has driven and the fuel left in its tank. What type of correlation would you expect?
  27. 27th October 1958A bill is £864 including VAT at 20%. Work out the amount before VAT.
  28. 28th October 1958The angles in a triangle are 2x°, 3x° and (x + 120)°. Form an equation and work out x.
  29. 29th October 1958Work out 15% of 320.
  30. 30th October 1958The bearing of B from A is 002°. Work out the bearing of A from B.
  31. 31st October 1958A bag holds 4 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.

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