Daily Practice · Foundation Plus

January 1954 5-a-day

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January 1954

31 sheets · 155 questions · Grades 4-6

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

Every sheet in January 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 January 1954A bag holds 4 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  2. 2nd January 1954A box plot has a minimum of 19 and a maximum of 56. Work out the range.
  3. 3rd January 1954Work out (32 x 10^11) / (4 x 10^5). Give your answer in standard form.
  4. 4th January 1954Use v = u + at with u = 6, a = 9 and t = 6. Work out v.
  5. 5th January 1954Write the ratio 5 : 10 in the form 1 : n.
  6. 6th January 1954A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  7. 7th January 1954A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  8. 8th January 1954A line of best fit on a scatter graph has equation y = 4x + 15. Use it to estimate y when x = 12.
  9. 9th January 1954A meal deal has 8 mains, 6 sides and 5 drinks. How many different meals are possible?
  10. 10th January 19543 teas and 4 cakes cost £10.90. 2 teas and 3 cakes cost £7.75. Find the price of a tea.
  11. 11th January 1954A coach travels 90 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.
  12. 12th January 1954A trapezium has parallel sides of 13 cm and 21 cm, 4 cm apart. Work out its area.
  13. 13th January 1954A biased coin lands on heads with probability 0.4. It is thrown 500 times. How many heads would you expect?
  14. 14th January 1954Four classes in order have frequencies 7, 7, 7, 12. Write down the cumulative frequency at the end of the third class.
  15. 15th January 1954A bill is £768 including VAT at 20%. Work out the amount before VAT.
  16. 16th January 1954For the curve y = -4/x, work out y when x = -1, and write down the equation of its vertical asymptote.
  17. 17th January 1954Hassan drives 140 km in 2 hours. Work out the average speed in km/h.
  18. 18th January 1954Four angles meet at a point. Three of them are 48°, 93° and 77°. Work out the fourth.
  19. 19th January 1954A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  20. 20th January 195435 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
  21. 21st January 1954Work out (27 x 10^6) / (9 x 10^2). Give your answer in standard form.
  22. 22nd January 1954Factorise x^2 + 14x + 48.
  23. 23rd January 1954Red and blue marbles are in the ratio 4 : 9. There are 56 red marbles. How many marbles are there altogether?
  24. 24th January 1954A prism has a triangular cross-section with base 10 cm and height 10 cm. The prism is 16 cm long. Work out its volume.
  25. 25th January 1954A bag holds 7 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  26. 26th January 1954A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
  27. 27th January 1954A meal deal has 5 mains, 3 sides and 6 drinks. How many different meals are possible?
  28. 28th January 1954Does the point (1, -2) satisfy y > -x - 5?
  29. 29th January 1954A map has a scale of 1 : 50000. Two villages are 9 cm apart on the map. How far apart are they in real life, in km?
  30. 30th January 1954Work out the size of one exterior angle of a regular 12-sided polygon.
  31. 31st January 1954A biased coin lands on heads with probability 0.2. It is thrown 100 times. How many heads would you expect?

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