Daily Practice · Foundation Plus

January 1961 5-a-day

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January 1961

31 sheets · 155 questions · Grades 4-6

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

Every sheet in January 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 January 1961Grouped data has five classes of width 10, the first being 10 < x <= 20. The frequencies in order are 7, 3, 21, 16, 11. Write down the modal class.
  2. 2nd January 1961Work out (16 x 10^10) / (2 x 10^2). Give your answer in standard form.
  3. 3rd January 1961Expand and simplify 4(5x + 8).
  4. 4th January 1961Work out 15% of 400.
  5. 5th January 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.
  6. 6th January 1961A bag holds 8 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  7. 7th January 1961Of 74 students, 30 study French, 37 study German and 7 study both. How many study neither?
  8. 8th January 1961A meal deal has 9 mains, 4 sides and 6 drinks. How many different meals are possible?
  9. 9th January 1961A line has equation y = 2x - 4. Write down where it crosses the x-axis and where it crosses the y-axis.
  10. 10th January 1961Write the ratio 8 : 72 in the form 1 : n.
  11. 11th January 1961A trapezium has parallel sides of 7 cm and 18 cm, 8 cm apart. Work out its area.
  12. 12th January 1961A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  13. 13th January 1961In a survey 2 households own 1 car, 9 own 2 cars and 9 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  14. 14th January 1961A bill is £360 including VAT at 20%. Work out the amount before VAT.
  15. 15th January 1961Solve 7(x - 8) = -28.
  16. 16th January 1961A coach travels 60 km in 1.5 hours, then 30 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  17. 17th January 1961Four angles meet at a point. Three of them are 40°, 67° and 127°. Work out the fourth.
  18. 18th January 1961A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  19. 19th January 1961A box plot has a minimum of 15 and a maximum of 53. Work out the range.
  20. 20th January 1961Work out (16 x 10^7) / (8 x 10^4). Give your answer in standard form.
  21. 21st January 1961Use v = u + at with u = 10, a = 2 and t = 3. Work out v.
  22. 22nd January 1961Jacob drives 112.5 km in 2.5 hours. Work out the average speed in km/h.
  23. 23rd January 1961A prism has a triangular cross-section with base 12 cm and height 8 cm. The prism is 15 cm long. Work out its volume.
  24. 24th January 1961A bag holds 4 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  25. 25th January 1961A line of best fit on a scatter graph has equation y = 5x + 39. Use it to estimate y when x = 4.
  26. 26th January 1961A meal deal has 4 mains, 4 sides and 4 drinks. How many different meals are possible?
  27. 27th January 19614 teas and 4 cakes cost £21.00. 1 tea and 3 cakes cost £11.55. Find the price of a tea.
  28. 28th January 1961Red and blue sweets are in the ratio 3 : 5. There are 15 red sweets. How many sweets are there altogether?
  29. 29th January 1961Work out the size of one exterior angle of a regular hexagon.
  30. 30th January 1961A biased coin lands on heads with probability 0.4. It is thrown 250 times. How many heads would you expect?
  31. 31st January 1961Four classes in order have frequencies 8, 3, 5, 5. Write down the cumulative frequency at the end of the third class.

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