Daily Practice · Foundation Plus

August 1954 5-a-day

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August 1954

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1954

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

  1. 1st August 1954A bill is £528 including VAT at 20%. Work out the amount before VAT.
  2. 2nd August 1954For the curve y = 25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  3. 3rd August 1954Write the ratio 4 : 24 in the form 1 : n.
  4. 4th August 1954The bearing of B from A is 124°. Work out the bearing of A from B.
  5. 5th August 1954A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  6. 6th August 195420 newts are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
  7. 7th August 1954Work out (24 x 10^9) / (4 x 10^5). Give your answer in standard form.
  8. 8th August 1954Factorise x^2 - 9.
  9. 9th August 1954A coach travels 30 km in 1 hour, then 20 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  10. 10th August 1954A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  11. 11th August 1954A bag holds 5 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  12. 12th August 1954A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th August 1954A meal deal has 4 mains, 5 sides and 2 drinks. How many different meals are possible?
  14. 14th August 1954Does the point (3, -14) satisfy y > -4x - 8?
  15. 15th August 1954Aisha drives 60 km in 1.5 hours. Work out the average speed in km/h.
  16. 16th August 1954A trapezium has parallel sides of 6 cm and 16 cm, 8 cm apart. Work out its area.
  17. 17th August 1954A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
  18. 18th August 1954160 people were surveyed. 30 were adults, of whom 5 said yes. 45 of the children said yes. How many said yes altogether?
  19. 19th August 1954A bill is £264 including VAT at 20%. Work out the amount before VAT.
  20. 20th August 1954A line has gradient 1 and passes through (3, 1). Work out its equation.
  21. 21st August 1954Red and blue sweets are in the ratio 4 : 5. There are 24 red sweets. How many sweets are there altogether?
  22. 22nd August 1954Four angles meet at a point. Three of them are 103°, 78° and 117°. Work out the fourth.
  23. 23rd August 1954A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  24. 24th August 1954A box plot has minimum 2, lower quartile 4, median 14, upper quartile 23 and maximum 26. Work out the interquartile range.
  25. 25th August 1954Work out (30 x 10^11) / (6 x 10^5). Give your answer in standard form.
  26. 26th August 1954Make x the subject of y = 6x^2 - 9.
  27. 27th August 1954A map has a scale of 1 : 50000. Two villages are 6 cm apart on the map. How far apart are they in real life, in km?
  28. 28th August 1954A prism has a triangular cross-section with base 10 cm and height 8 cm. The prism is 18 cm long. Work out its volume.
  29. 29th August 1954A bag holds 5 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  30. 30th August 1954A scatter graph plots a pupil's height and their score in a spelling test. What type of correlation would you expect?
  31. 31st August 1954A meal deal has 3 mains, 7 sides and 2 drinks. How many different meals are possible?

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