Daily Practice · Foundation Plus

July 1955 5-a-day

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July 1955

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1955

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 1955A bag holds 5 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  2. 2nd July 195555 fish are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
  3. 3rd July 1955A meal deal has 4 mains, 7 sides and 2 drinks. How many different meals are possible?
  4. 4th July 1955Factorise x^2 - 5x - 6.
  5. 5th July 1955Write the ratio 2 : 18 in the form 1 : n.
  6. 6th July 1955A trapezium has parallel sides of 13 cm and 16 cm, 6 cm apart. Work out its area.
  7. 7th July 1955A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  8. 8th July 1955A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?
  9. 9th July 1955A bill is £360 including VAT at 20%. Work out the amount before VAT.
  10. 10th July 1955Does the point (3, -6) satisfy y > 3x - 7?
  11. 11th July 1955A coach travels 40 km in 0.5 hours, then 90 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  12. 12th July 1955Four angles meet at a point. Three of them are 115°, 88° and 103°. Work out the fourth.
  13. 13th July 1955A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  14. 14th July 1955190 people were surveyed. 80 were adults, of whom 25 said yes. 5 of the children said yes. How many said yes altogether?
  15. 15th July 1955Work out (16 x 10^11) / (2 x 10^5). Give your answer in standard form.
  16. 16th July 1955A line has gradient 2 and passes through (3, 10). Work out its equation.
  17. 17th July 1955Priya drives 320 km in 4 hours. Work out the average speed in km/h.
  18. 18th July 1955A prism has a triangular cross-section with base 22 cm and height 12 cm. The prism is 12 cm long. Work out its volume.
  19. 19th July 1955A bag holds 2 red and 8 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  20. 20th July 1955A box plot has minimum 10, lower quartile 20, median 23, upper quartile 25 and maximum 34. Work out the interquartile range.
  21. 21st July 1955A meal deal has 9 mains, 9 sides and 3 drinks. How many different meals are possible?
  22. 22nd July 1955Make x the subject of y = 7x^2 - 9.
  23. 23rd July 1955Red and blue marbles are in the ratio 5 : 8. There are 60 red marbles. How many marbles are there altogether?
  24. 24th July 1955Work out the size of one exterior angle of a regular nonagon.
  25. 25th July 1955A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  26. 26th July 1955A scatter graph plots a runner's time for 100 m and the distance they can throw a ball. What type of correlation would you expect?
  27. 27th July 1955A bill is £960 including VAT at 20%. Work out the amount before VAT.
  28. 28th July 1955The angles in a triangle are 3x°, 3x° and (x + 26)°. Form an equation and work out x.
  29. 29th July 1955A map has a scale of 1 : 50000. Two villages are 15 cm apart on the map. How far apart are they in real life, in km?
  30. 30th July 1955The bearing of B from A is 200°. Work out the bearing of A from B.
  31. 31st July 1955A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.

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