Daily Practice · Foundation Plus

July 1971 5-a-day

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July 1971

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1971

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

  1. 1st July 1971A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  2. 2nd July 1971Of 48 students, 28 study French, 27 study German and 13 study both. How many study neither?
  3. 3rd July 1971Work out (28 x 10^11) / (7 x 10^2). Give your answer in standard form.
  4. 4th July 1971A line has equation y = 6x - 24. Write down where it crosses the x-axis and where it crosses the y-axis.
  5. 5th July 1971A coach travels 70 km in 1.5 hours, then 90 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  6. 6th July 1971A prism has a triangular cross-section with base 10 cm and height 10 cm. The prism is 5 cm long. Work out its volume.
  7. 7th July 1971A bag holds 4 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  8. 8th July 1971In a survey 5 households own 1 car, 8 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  9. 9th July 1971A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
  10. 10th July 1971Solve 4(x + 6) = 36.
  11. 11th July 1971Rhys drives 90 km in 1.5 hours. Work out the average speed in km/h.
  12. 12th July 1971Work out the size of one exterior angle of a regular nonagon.
  13. 13th July 1971A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?
  14. 14th July 1971A box plot has a minimum of 20 and a maximum of 72. Work out the range.
  15. 15th July 1971A bill is £696 including VAT at 20%. Work out the amount before VAT.
  16. 16th July 1971Use v = u + at with u = 3, a = 3 and t = 2. Work out v.
  17. 17th July 1971Red and blue marbles are in the ratio 2 : 3. There are 12 red marbles. How many marbles are there altogether?
  18. 18th July 1971The bearing of B from A is 263°. Work out the bearing of A from B.
  19. 19th July 1971A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  20. 20th July 1971A line of best fit on a scatter graph has equation y = 7x + 21. Use it to estimate y when x = 6.
  21. 21st July 1971Work out (81 x 10^10) / (9 x 10^3). Give your answer in standard form.
  22. 22nd July 19712 teas and 3 cakes cost £11.75. 1 tea and 4 cakes cost £11.50. Find the price of a tea.
  23. 23rd July 1971A map has a scale of 1 : 25000. Two villages are 6 cm apart on the map. How far apart are they in real life, in km?
  24. 24th July 1971A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  25. 25th July 1971A bag holds 3 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  26. 26th July 1971Four classes in order have frequencies 9, 3, 11, 11. Write down the cumulative frequency at the end of the third class.
  27. 27th July 1971A meal deal has 7 mains, 4 sides and 2 drinks. How many different meals are possible?
  28. 28th July 1971For the curve y = 80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  29. 29th July 1971A pack of 10 teabags costs £5.50. A pack of 40 costs £20.80. Which pack is better value?
  30. 30th July 1971A trapezium has parallel sides of 4 cm and 16 cm, 8 cm apart. Work out its area.
  31. 31st July 1971A biased coin lands on heads with probability 0.1. It is thrown 500 times. How many heads would you expect?

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