Daily Practice · Foundation Plus

January 1965 5-a-day

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January 1965

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' January 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in January 1965

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

  1. 1st January 1965A map has a scale of 1 : 50000. Two villages are 8.5 cm apart on the map. How far apart are they in real life, in km?
  2. 2nd January 1965A prism has a triangular cross-section with base 4 cm and height 7 cm. The prism is 10 cm long. Work out its volume.
  3. 3rd January 1965A bag holds 2 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  4. 4th January 1965In a survey 5 households own 1 car, 3 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  5. 5th January 1965A meal deal has 5 mains, 3 sides and 5 drinks. How many different meals are possible?
  6. 6th January 1965Solve 2(x + 6) = 16.
  7. 7th January 1965A pack of 12 pencils costs £4.20. A pack of 24 costs £8.16. Which pack is better value?
  8. 8th January 1965Work out the size of one exterior angle of a regular 12-sided polygon.
  9. 9th January 1965A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
  10. 10th January 1965A box plot has a minimum of 9 and a maximum of 66. Work out the range.
  11. 11th January 1965A bill is £960 including VAT at 20%. Work out the amount before VAT.
  12. 12th January 1965Use v = u + at with u = 6, a = 6 and t = 2. Work out v.
  13. 13th January 1965Work out 5% of 120.
  14. 14th January 1965The bearing of B from A is 355°. Work out the bearing of A from B.
  15. 15th January 1965A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  16. 16th January 1965A line of best fit on a scatter graph has equation y = 9x + 38. Use it to estimate y when x = 11.
  17. 17th January 1965Work out (54 x 10^12) / (6 x 10^2). Give your answer in standard form.
  18. 18th January 19653 teas and 1 cake cost £7.50. 2 teas and 3 cakes cost £9.20. Find the price of a tea.
  19. 19th January 1965Write the ratio 6 : 12 in the form 1 : n.
  20. 20th January 1965A goat is tied to a post in an open field by a rope 9 m long. Describe the region of grass it can reach.
  21. 21st January 1965A bag holds 3 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  22. 22nd January 1965Four classes in order have frequencies 8, 10, 10, 5. Write down the cumulative frequency at the end of the third class.
  23. 23rd January 1965A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
  24. 24th January 1965For the curve y = -11/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  25. 25th January 1965A coach travels 30 km in 1.5 hours, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  26. 26th January 1965A trapezium has parallel sides of 10 cm and 20 cm, 4 cm apart. Work out its area.
  27. 27th January 1965A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  28. 28th January 196520 voles are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
  29. 29th January 1965A bill is £720 including VAT at 20%. Work out the amount before VAT.
  30. 30th January 1965Factorise x^2 + 2x + 1.
  31. 31st January 1965Chloe drives 100 km in 2.5 hours. Work out the average speed in km/h.

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