Daily Practice · Foundation Plus

June 1972 5-a-day

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June 1972

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' June 1972 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in June 1972

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

  1. 1st June 1972A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  2. 2nd June 1972In a survey 7 households own 1 car, 9 own 2 cars and 8 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  3. 3rd June 1972A bill is £792 including VAT at 20%. Work out the amount before VAT.
  4. 4th June 1972Solve 3(x + 9) = 36.
  5. 5th June 1972A coach travels 30 km in 1 hour, then 20 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  6. 6th June 1972The bearing of B from A is 321°. Work out the bearing of A from B.
  7. 7th June 1972A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  8. 8th June 1972A box plot has a minimum of 15 and a maximum of 64. Work out the range.
  9. 9th June 1972Work out (45 x 10^10) / (9 x 10^4). Give your answer in standard form.
  10. 10th June 1972Use v = u + at with u = 13, a = 6 and t = 7. Work out v.
  11. 11th June 1972Isla drives 160 km in 2 hours. Work out the average speed in km/h.
  12. 12th June 1972A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
  13. 13th June 1972A bag holds 3 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  14. 14th June 1972A line of best fit on a scatter graph has equation y = 3x + 22. Use it to estimate y when x = 12.
  15. 15th June 1972A meal deal has 8 mains, 5 sides and 3 drinks. How many different meals are possible?
  16. 16th June 19722 teas and 1 cake cost £7.60. 2 teas and 5 cakes cost £18.80. Find the price of a tea.
  17. 17th June 1972Red and blue sweets are in the ratio 7 : 9. There are 84 red sweets. How many sweets are there altogether?
  18. 18th June 1972A trapezium has parallel sides of 7 cm and 14 cm, 18 cm apart. Work out its area.
  19. 19th June 1972A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  20. 20th June 1972Four classes in order have frequencies 11, 3, 4, 12. Write down the cumulative frequency at the end of the third class.
  21. 21st June 1972A bill is £192 including VAT at 20%. Work out the amount before VAT.
  22. 22nd June 1972For the curve y = 6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
  23. 23rd June 1972A map has a scale of 1 : 25000. Two villages are 3.5 cm apart on the map. How far apart are they in real life, in km?
  24. 24th June 1972Four angles meet at a point. Three of them are 83°, 43° and 71°. Work out the fourth.
  25. 25th June 1972A bag holds 4 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  26. 26th June 197255 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
  27. 27th June 1972Work out (14 x 10^7) / (7 x 10^5). Give your answer in standard form.
  28. 28th June 1972Factorise x^2 - 3x - 4.
  29. 29th June 1972A pack of 11 pencils costs £4.95. A pack of 44 costs £17.60. Which pack is better value?
  30. 30th June 1972A prism has a triangular cross-section with base 8 cm and height 8 cm. The prism is 13 cm long. Work out its volume.

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