Daily Practice · Foundation Plus

October 1961 5-a-day

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October 1961

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1961

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 1961Mia drives 100 km in 2.5 hours. Work out the average speed in km/h.
  2. 2nd October 1961A prism has a triangular cross-section with base 24 cm and height 4 cm. The prism is 14 cm long. Work out its volume.
  3. 3rd October 1961A bag holds 4 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  4. 4th October 1961In a survey 9 households own 1 car, 5 own 2 cars and 9 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  5. 5th October 1961A meal deal has 8 mains, 5 sides and 4 drinks. How many different meals are possible?
  6. 6th October 1961Solve 6(x - 6) = -24.
  7. 7th October 1961Red and blue raffle tickets are in the ratio 2 : 9. There are 10 red raffle tickets. How many raffle tickets are there altogether?
  8. 8th October 1961Work out the size of one exterior angle of a regular nonagon.
  9. 9th October 1961A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  10. 10th October 1961A box plot has a minimum of 11 and a maximum of 67. Work out the range.
  11. 11th October 1961A bill is £432 including VAT at 20%. Work out the amount before VAT.
  12. 12th October 1961Use v = u + at with u = 11, a = 3 and t = 5. Work out v.
  13. 13th October 1961A map has a scale of 1 : 10000. Two villages are 6.5 cm apart on the map. How far apart are they in real life, in km?
  14. 14th October 1961The bearing of B from A is 063°. Work out the bearing of A from B.
  15. 15th October 1961A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  16. 16th October 1961A line of best fit on a scatter graph has equation y = 3x + 33. Use it to estimate y when x = 9.
  17. 17th October 1961Work out (36 x 10^7) / (6 x 10^3). Give your answer in standard form.
  18. 18th October 19615 teas and 1 cake cost £7.40. 1 tea and 4 cakes cost £7.75. Find the price of a tea.
  19. 19th October 1961A pack of 10 pencils costs £6.00. A pack of 40 costs £22.80. Which pack is better value?
  20. 20th October 1961A goat is tied to a post in an open field by a rope 11 m long. Describe the region of grass it can reach.
  21. 21st October 1961A bag holds 9 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  22. 22nd October 1961Four classes in order have frequencies 4, 5, 11, 6. Write down the cumulative frequency at the end of the third class.
  23. 23rd October 1961A meal deal has 3 mains, 6 sides and 5 drinks. How many different meals are possible?
  24. 24th October 1961For the curve y = 22/x, work out y when x = -2, and write down the equation of its vertical asymptote.
  25. 25th October 1961Work out 40% of 100.
  26. 26th October 1961A trapezium has parallel sides of 14 cm and 21 cm, 16 cm apart. Work out its area.
  27. 27th October 1961A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  28. 28th October 196150 voles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
  29. 29th October 1961A bill is £312 including VAT at 20%. Work out the amount before VAT.
  30. 30th October 1961Factorise x^2 - 10x + 9.
  31. 31st October 1961Write the ratio 7 : 42 in the form 1 : n.

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