Daily Practice · Foundation Plus

August 1975 5-a-day

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August 1975

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' August 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in August 1975

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 1975A map has a scale of 1 : 10000. Two villages are 11.5 cm apart on the map. How far apart are they in real life, in km?
  2. 2nd August 1975The bearing of B from A is 315°. Work out the bearing of A from B.
  3. 3rd August 1975A bag holds 5 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  4. 4th August 197580 people were surveyed. 70 were adults, of whom 30 said yes. 5 of the children said yes. How many said yes altogether?
  5. 5th August 1975Work out (9 x 10^7) / (3 x 10^3). Give your answer in standard form.
  6. 6th August 1975A line has gradient -2 and passes through (2, -7). Work out its equation.
  7. 7th August 1975A pack of 4 sponges costs £1.20. A pack of 8 costs £2.16. Which pack is better value?
  8. 8th August 1975A goat is tied to a post in an open field by a rope 9 m long. Describe the region of grass it can reach.
  9. 9th August 1975A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  10. 10th August 1975A box plot has minimum 2, lower quartile 9, median 19, upper quartile 23 and maximum 31. Work out the interquartile range.
  11. 11th August 1975A meal deal has 3 mains, 5 sides and 5 drinks. How many different meals are possible?
  12. 12th August 1975Make x the subject of y = 9x^2 - 2.
  13. 13th August 1975Work out 30% of 60.
  14. 14th August 1975A trapezium has parallel sides of 14 cm and 22 cm, 14 cm apart. Work out its area.
  15. 15th August 1975A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  16. 16th August 1975A scatter graph plots the length of a queue and the number of tills open. What type of correlation would you expect?
  17. 17th August 1975A bill is £480 including VAT at 20%. Work out the amount before VAT.
  18. 18th August 1975The angles in a triangle are 2x°, x° and (x + 80)°. Form an equation and work out x.
  19. 19th August 1975Write the ratio 8 : 24 in the form 1 : n.
  20. 20th August 1975Four angles meet at a point. Three of them are 110°, 72° and 132°. Work out the fourth.
  21. 21st August 1975A bag holds 5 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  22. 22nd August 1975Grouped data has five classes of width 5, the first being 15 < x <= 20. The frequencies in order are 3, 11, 7, 16, 21. Write down the modal class.
  23. 23rd August 1975Work out (72 x 10^8) / (9 x 10^2). Give your answer in standard form.
  24. 24th August 1975Expand and simplify 5(8x + 7).
  25. 25th August 1975A coach travels 30 km in 1.5 hours, then 50 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  26. 26th August 1975A prism has a triangular cross-section with base 22 cm and height 4 cm. The prism is 16 cm long. Work out its volume.
  27. 27th August 1975A bag holds 6 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  28. 28th August 1975Of 38 students, 26 study French, 20 study German and 15 study both. How many study neither?
  29. 29th August 1975A meal deal has 6 mains, 9 sides and 3 drinks. How many different meals are possible?
  30. 30th August 1975A line has equation y = 2x - 10. Write down where it crosses the x-axis and where it crosses the y-axis.
  31. 31st August 1975Leo drives 105 km in 1.5 hours. Work out the average speed in km/h.

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