Daily Practice · Foundation Plus

September 1957 5-a-day

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September 1957

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' September 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in September 1957

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

  1. 1st September 195755 fish are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
  2. 2nd September 1957A meal deal has 8 mains, 7 sides and 2 drinks. How many different meals are possible?
  3. 3rd September 1957Factorise x^2 - 10x + 16.
  4. 4th September 1957Work out 5% of 280.
  5. 5th September 1957A trapezium has parallel sides of 8 cm and 15 cm, 10 cm apart. Work out its area.
  6. 6th September 1957A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  7. 7th September 1957A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
  8. 8th September 1957A bill is £864 including VAT at 20%. Work out the amount before VAT.
  9. 9th September 1957Does the point (5, -24) satisfy y > -4x - 3?
  10. 10th September 1957Write the ratio 2 : 6 in the form 1 : n.
  11. 11th September 1957Four angles meet at a point. Three of them are 103°, 129° and 58°. Work out the fourth.
  12. 12th September 1957A bag holds 7 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
  13. 13th September 1957140 people were surveyed. 50 were adults, of whom 5 said yes. 30 of the children said yes. How many said yes altogether?
  14. 14th September 1957Work out (40 x 10^9) / (5 x 10^2). Give your answer in standard form.
  15. 15th September 1957A line has gradient 3 and passes through (6, 15). Work out its equation.
  16. 16th September 1957A coach travels 30 km in 1 hour, then 80 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  17. 17th September 1957A prism has a triangular cross-section with base 22 cm and height 13 cm. The prism is 20 cm long. Work out its volume.
  18. 18th September 1957A bag holds 9 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  19. 19th September 1957A box plot has minimum 4, lower quartile 12, median 21, upper quartile 23 and maximum 26. Work out the interquartile range.
  20. 20th September 1957A meal deal has 7 mains, 4 sides and 6 drinks. How many different meals are possible?
  21. 21st September 1957Make x the subject of y = 8x^2 - 8.
  22. 22nd September 1957Leo drives 140 km in 2 hours. Work out the average speed in km/h.
  23. 23rd September 1957Work out the size of one exterior angle of a regular 12-sided polygon.
  24. 24th September 1957A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
  25. 25th September 1957A scatter graph plots the temperature outside and the number of hot drinks sold. What type of correlation would you expect?
  26. 26th September 1957A bill is £696 including VAT at 20%. Work out the amount before VAT.
  27. 27th September 1957The angles in a triangle are 4x°, x° and (x + 54)°. Form an equation and work out x.
  28. 28th September 1957Red and blue marbles are in the ratio 3 : 8. There are 21 red marbles. How many marbles are there altogether?
  29. 29th September 1957The bearing of B from A is 292°. Work out the bearing of A from B.
  30. 30th September 1957A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.

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