Daily Practice · Foundation Plus

September 1963 5-a-day

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September 1963

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' September 1963 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in September 1963

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 1963Work out (21 x 10^10) / (3 x 10^3). Give your answer in standard form.
  2. 2nd September 1963A line has gradient -3 and passes through (3, -2). Work out its equation.
  3. 3rd September 1963Write the ratio 2 : 10 in the form 1 : n.
  4. 4th September 1963A goat is tied to a post in an open field by a rope 11 m long. Describe the region of grass it can reach.
  5. 5th September 1963A bag holds 6 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  6. 6th September 1963A box plot has minimum 10, lower quartile 20, median 27, upper quartile 35 and maximum 40. Work out the interquartile range.
  7. 7th September 1963A meal deal has 3 mains, 8 sides and 2 drinks. How many different meals are possible?
  8. 8th September 1963Make x the subject of y = 4x^2 - 8.
  9. 9th September 1963A coach travels 40 km in 1.5 hours, then 90 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  10. 10th September 1963A trapezium has parallel sides of 5 cm and 9 cm, 16 cm apart. Work out its area.
  11. 11th September 1963A biased coin lands on heads with probability 0.2. It is thrown 100 times. How many heads would you expect?
  12. 12th September 1963A scatter graph plots how far a lorry has driven and the fuel left in its tank. What type of correlation would you expect?
  13. 13th September 1963A bill is £744 including VAT at 20%. Work out the amount before VAT.
  14. 14th September 1963The angles in a triangle are 2x°, 3x° and (x + 108)°. Form an equation and work out x.
  15. 15th September 1963Zara drives 150 km in 2.5 hours. Work out the average speed in km/h.
  16. 16th September 1963Four angles meet at a point. Three of them are 109°, 70° and 53°. Work out the fourth.
  17. 17th September 1963A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  18. 18th September 1963Grouped data has five classes of width 5, the first being 10 < x <= 15. The frequencies in order are 3, 11, 16, 7, 21. Write down the modal class.
  19. 19th September 1963Work out (14 x 10^10) / (7 x 10^4). Give your answer in standard form.
  20. 20th September 1963Expand and simplify 3(2x + 5).
  21. 21st September 1963Red and blue raffle tickets are in the ratio 3 : 8. There are 27 red raffle tickets. How many raffle tickets are there altogether?
  22. 22nd September 1963A prism has a triangular cross-section with base 6 cm and height 12 cm. The prism is 4 cm long. Work out its volume.
  23. 23rd September 1963A bag holds 9 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  24. 24th September 1963Of 64 students, 35 study French, 41 study German and 15 study both. How many study neither?
  25. 25th September 1963A meal deal has 4 mains, 7 sides and 6 drinks. How many different meals are possible?
  26. 26th September 1963A line has equation y = 5x - 20. Write down where it crosses the x-axis and where it crosses the y-axis.
  27. 27th September 1963A map has a scale of 1 : 10000. Two villages are 13 cm apart on the map. How far apart are they in real life, in km?
  28. 28th September 1963Work out the size of one exterior angle of a regular octagon.
  29. 29th September 1963A biased coin lands on heads with probability 0.25. It is thrown 50 times. How many heads would you expect?
  30. 30th September 1963In a survey 8 households own 1 car, 9 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.

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