Daily Practice · Foundation Plus

December 1970 5-a-day

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December 1970

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' December 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in December 1970

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

  1. 1st December 1970Write the ratio 2 : 10 in the form 1 : n.
  2. 2nd December 1970A prism has a triangular cross-section with base 14 cm and height 11 cm. The prism is 11 cm long. Work out its volume.
  3. 3rd December 1970A bag holds 3 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  4. 4th December 1970A scatter graph plots a car's engine size and the miles it does per gallon. What type of correlation would you expect?
  5. 5th December 1970A meal deal has 5 mains, 6 sides and 2 drinks. How many different meals are possible?
  6. 6th December 1970The angles in a triangle are 3x°, 3x° and (x + 68)°. Form an equation and work out x.
  7. 7th December 1970A coach travels 50 km in 1.5 hours, then 60 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  8. 8th December 1970Work out the size of one exterior angle of a regular octagon.
  9. 9th December 1970A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?
  10. 10th December 1970Grouped data has five classes of width 5, the first being 5 < x <= 10. The frequencies in order are 16, 11, 7, 3, 21. Write down the modal class.
  11. 11th December 1970A bill is £552 including VAT at 20%. Work out the amount before VAT.
  12. 12th December 1970Expand and simplify 3(7x - 3).
  13. 13th December 1970Chloe drives 100 km in 2 hours. Work out the average speed in km/h.
  14. 14th December 1970The bearing of B from A is 271°. Work out the bearing of A from B.
  15. 15th December 1970A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  16. 16th December 1970Of 57 students, 16 study French, 30 study German and 5 study both. How many study neither?
  17. 17th December 1970Work out (42 x 10^10) / (6 x 10^5). Give your answer in standard form.
  18. 18th December 1970A line has equation y = 3x - 6. Write down where it crosses the x-axis and where it crosses the y-axis.
  19. 19th December 1970Red and blue sweets are in the ratio 2 : 9. There are 24 red sweets. How many sweets are there altogether?
  20. 20th December 1970A goat is tied to a post in an open field by a rope 12 m long. Describe the region of grass it can reach.
  21. 21st December 1970A bag holds 4 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  22. 22nd December 1970In a survey 6 households own 1 car, 5 own 2 cars and 3 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  23. 23rd December 1970A meal deal has 4 mains, 4 sides and 5 drinks. How many different meals are possible?
  24. 24th December 1970Solve 3(x - 3) = 27.
  25. 25th December 1970A map has a scale of 1 : 50000. Two villages are 12 cm apart on the map. How far apart are they in real life, in km?
  26. 26th December 1970A trapezium has parallel sides of 9 cm and 15 cm, 4 cm apart. Work out its area.
  27. 27th December 1970A biased coin lands on heads with probability 0.4. It is thrown 50 times. How many heads would you expect?
  28. 28th December 1970A box plot has a minimum of 11 and a maximum of 25. Work out the range.
  29. 29th December 1970A bill is £960 including VAT at 20%. Work out the amount before VAT.
  30. 30th December 1970Use v = u + at with u = 13, a = 4 and t = 4. Work out v.
  31. 31st December 1970A pack of 5 teabags costs £3.00. A pack of 10 costs £5.40. Which pack is better value?

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