Daily Practice · Foundation Plus

July 1978 5-a-day

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July 1978

31 sheets · 155 questions · Grades 4-6

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Every sheet in July 1978

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 1978A box plot has minimum 7, lower quartile 14, median 24, upper quartile 32 and maximum 35. Work out the interquartile range.
  2. 2nd July 1978Work out (24 x 10^7) / (8 x 10^2). Give your answer in standard form.
  3. 3rd July 1978Make x the subject of y = 8x^2 - 7.
  4. 4th July 1978Write the ratio 5 : 35 in the form 1 : n.
  5. 5th July 1978A prism has a triangular cross-section with base 18 cm and height 4 cm. The prism is 5 cm long. Work out its volume.
  6. 6th July 1978A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  7. 7th July 1978A scatter graph plots the height of a tree and its age. What type of correlation would you expect?
  8. 8th July 1978A meal deal has 5 mains, 4 sides and 2 drinks. How many different meals are possible?
  9. 9th July 1978The angles in a triangle are 3x°, 3x° and (x + 12)°. Form an equation and work out x.
  10. 10th July 1978A coach travels 50 km in 1 hour, then 80 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  11. 11th July 1978Work out the size of one exterior angle of a regular decagon.
  12. 12th July 1978A biased coin lands on heads with probability 0.2. It is thrown 100 times. How many heads would you expect?
  13. 13th July 1978Grouped data has five classes of width 5, the first being 5 < x <= 10. The frequencies in order are 21, 7, 16, 11, 3. Write down the modal class.
  14. 14th July 1978A bill is £120 including VAT at 20%. Work out the amount before VAT.
  15. 15th July 1978Expand and simplify 8(6x + 7).
  16. 16th July 1978Tomasz drives 60 km in 1.5 hours. Work out the average speed in km/h.
  17. 17th July 1978The bearing of B from A is 061°. Work out the bearing of A from B.
  18. 18th July 1978A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  19. 19th July 1978Of 61 students, 35 study French, 23 study German and 12 study both. How many study neither?
  20. 20th July 1978Work out (48 x 10^6) / (8 x 10^2). Give your answer in standard form.
  21. 21st July 1978A line has equation y = 5x - 20. Write down where it crosses the x-axis and where it crosses the y-axis.
  22. 22nd July 1978Red and blue marbles are in the ratio 2 : 9. There are 24 red marbles. How many marbles are there altogether?
  23. 23rd July 1978A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  24. 24th July 1978A bag holds 2 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  25. 25th July 1978In a survey 9 households own 1 car, 6 own 2 cars and 2 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  26. 26th July 1978A meal deal has 8 mains, 9 sides and 3 drinks. How many different meals are possible?
  27. 27th July 1978Solve 6(x + 1) = 54.
  28. 28th July 1978A map has a scale of 1 : 25000. Two villages are 13 cm apart on the map. How far apart are they in real life, in km?
  29. 29th July 1978A trapezium has parallel sides of 12 cm and 16 cm, 10 cm apart. Work out its area.
  30. 30th July 1978A biased coin lands on heads with probability 0.15. It is thrown 100 times. How many heads would you expect?
  31. 31st July 1978A box plot has a minimum of 12 and a maximum of 51. Work out the range.

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