Daily Practice · Foundation Plus

October 1975 5-a-day

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October 1975

31 sheets · 155 questions · Grades 4-6

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

Every sheet in October 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 October 1975A prism has a triangular cross-section with base 8 cm and height 11 cm. The prism is 4 cm long. Work out its volume.
  2. 2nd October 1975A bag holds 6 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  3. 3rd October 1975A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
  4. 4th October 1975A meal deal has 6 mains, 8 sides and 2 drinks. How many different meals are possible?
  5. 5th October 1975Does the point (5, 4) satisfy y > 2x - 3?
  6. 6th October 1975A coach travels 50 km in 1.5 hours, then 60 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
  7. 7th October 1975Work out the size of one exterior angle of a regular nonagon.
  8. 8th October 1975A biased coin lands on heads with probability 0.15. It is thrown 50 times. How many heads would you expect?
  9. 9th October 1975110 people were surveyed. 70 were adults, of whom 20 said yes. 10 of the children said yes. How many said yes altogether?
  10. 10th October 1975A bill is £792 including VAT at 20%. Work out the amount before VAT.
  11. 11th October 1975A line has gradient 5 and passes through (2, 16). Work out its equation.
  12. 12th October 1975Isla drives 200 km in 4 hours. Work out the average speed in km/h.
  13. 13th October 1975The bearing of B from A is 079°. Work out the bearing of A from B.
  14. 14th October 1975A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  15. 15th October 1975A box plot has minimum 4, lower quartile 6, median 9, upper quartile 13 and maximum 22. Work out the interquartile range.
  16. 16th October 1975Work out (56 x 10^12) / (8 x 10^4). Give your answer in standard form.
  17. 17th October 1975Make x the subject of y = 3x^2 - 5.
  18. 18th October 1975Red and blue stickers are in the ratio 3 : 7. There are 18 red stickers. How many stickers are there altogether?
  19. 19th October 1975A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
  20. 20th October 1975A bag holds 6 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  21. 21st October 1975A scatter graph plots rainfall in a week and the number of umbrellas sold. What type of correlation would you expect?
  22. 22nd October 1975A meal deal has 9 mains, 8 sides and 5 drinks. How many different meals are possible?
  23. 23rd October 1975The angles in a triangle are 4x°, x° and (x + 54)°. Form an equation and work out x.
  24. 24th October 1975A map has a scale of 1 : 10000. Two villages are 2.5 cm apart on the map. How far apart are they in real life, in km?
  25. 25th October 1975A trapezium has parallel sides of 4 cm and 6 cm, 14 cm apart. Work out its area.
  26. 26th October 1975A biased coin lands on heads with probability 0.1. It is thrown 200 times. How many heads would you expect?
  27. 27th October 1975Grouped data has five classes of width 5, the first being 0 < x <= 5. The frequencies in order are 16, 3, 21, 11, 7. Write down the modal class.
  28. 28th October 1975A bill is £120 including VAT at 20%. Work out the amount before VAT.
  29. 29th October 1975Expand and simplify 3(8x + 1).
  30. 30th October 1975A pack of 5 teabags costs £1.00. A pack of 10 costs £1.80. Which pack is better value?
  31. 31st October 1975Four angles meet at a point. Three of them are 66°, 134° and 108°. Work out the fourth.

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