Daily Practice · Foundation Plus

October 1957 5-a-day

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October 1957

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1957

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 1957Grouped data has five classes of width 10, the first being 20 < x <= 30. The frequencies in order are 3, 7, 16, 11, 21. Write down the modal class.
  2. 2nd October 1957Work out (48 x 10^9) / (8 x 10^2). Give your answer in standard form.
  3. 3rd October 1957Expand and simplify 3(4x - 3).
  4. 4th October 1957A map has a scale of 1 : 10000. Two villages are 11 cm apart on the map. How far apart are they in real life, in km?
  5. 5th October 1957A goat is tied to a post in an open field by a rope 12 m long. Describe the region of grass it can reach.
  6. 6th October 1957A bag holds 4 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  7. 7th October 1957Of 40 students, 24 study French, 11 study German and 5 study both. How many study neither?
  8. 8th October 1957A meal deal has 4 mains, 6 sides and 2 drinks. How many different meals are possible?
  9. 9th October 1957A line has equation y = 3x - 18. Write down where it crosses the x-axis and where it crosses the y-axis.
  10. 10th October 1957A pack of 4 batteries costs £1.00. A pack of 16 costs £3.68. Which pack is better value?
  11. 11th October 1957A trapezium has parallel sides of 4 cm and 13 cm, 12 cm apart. Work out its area.
  12. 12th October 1957A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  13. 13th October 1957In a survey 9 households own 1 car, 7 own 2 cars and 5 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  14. 14th October 1957A bill is £744 including VAT at 20%. Work out the amount before VAT.
  15. 15th October 1957Solve 7(x + 8) = 70.
  16. 16th October 1957Work out 5% of 100.
  17. 17th October 1957Four angles meet at a point. Three of them are 91°, 130° and 49°. Work out the fourth.
  18. 18th October 1957A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  19. 19th October 1957A box plot has a minimum of 6 and a maximum of 44. Work out the range.
  20. 20th October 1957Work out (36 x 10^11) / (4 x 10^2). Give your answer in standard form.
  21. 21st October 1957Use v = u + at with u = 4, a = 7 and t = 8. Work out v.
  22. 22nd October 1957Write the ratio 5 : 10 in the form 1 : n.
  23. 23rd October 1957A prism has a triangular cross-section with base 10 cm and height 3 cm. The prism is 16 cm long. Work out its volume.
  24. 24th October 1957A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  25. 25th October 1957A line of best fit on a scatter graph has equation y = 7x + 16. Use it to estimate y when x = 10.
  26. 26th October 1957A meal deal has 5 mains, 5 sides and 2 drinks. How many different meals are possible?
  27. 27th October 19573 teas and 2 cakes cost £9.30. 3 teas and 3 cakes cost £12.75. Find the price of a tea.
  28. 28th October 1957A coach travels 30 km in 1.5 hours, then 20 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  29. 29th October 1957Work out the size of one exterior angle of a regular decagon.
  30. 30th October 1957A biased coin lands on heads with probability 0.1. It is thrown 250 times. How many heads would you expect?
  31. 31st October 1957Four classes in order have frequencies 5, 9, 10, 8. Write down the cumulative frequency at the end of the third class.

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