Daily Practice · Foundation Plus

October 1971 5-a-day

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October 1971

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' October 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1971

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 1971Work out (16 x 10^6) / (2 x 10^5). Give your answer in standard form.
  2. 2nd October 1971For the curve y = -70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  3. 3rd October 1971Tomasz drives 175 km in 2.5 hours. Work out the average speed in km/h.
  4. 4th October 1971A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  5. 5th October 1971A bag holds 8 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  6. 6th October 197120 voles are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
  7. 7th October 1971A meal deal has 4 mains, 6 sides and 4 drinks. How many different meals are possible?
  8. 8th October 1971Factorise x^2 + 10x + 16.
  9. 9th October 1971Red and blue stickers are in the ratio 3 : 5. There are 15 red stickers. How many stickers are there altogether?
  10. 10th October 1971A trapezium has parallel sides of 9 cm and 21 cm, 10 cm apart. Work out its area.
  11. 11th October 1971A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
  12. 12th October 1971A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th October 1971A bill is £888 including VAT at 20%. Work out the amount before VAT.
  14. 14th October 1971Does the point (3, 12) satisfy y > x + 6?
  15. 15th October 1971A map has a scale of 1 : 25000. Two villages are 8.5 cm apart on the map. How far apart are they in real life, in km?
  16. 16th October 1971Four angles meet at a point. Three of them are 113°, 40° and 157°. Work out the fourth.
  17. 17th October 1971A bag holds 4 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  18. 18th October 1971190 people were surveyed. 40 were adults, of whom 10 said yes. 70 of the children said yes. How many said yes altogether?
  19. 19th October 1971Work out (21 x 10^11) / (3 x 10^3). Give your answer in standard form.
  20. 20th October 1971A line has gradient -5 and passes through (2, -3). Work out its equation.
  21. 21st October 1971A pack of 7 pencils costs £4.20. A pack of 14 costs £8.12. Which pack is better value?
  22. 22nd October 1971A prism has a triangular cross-section with base 18 cm and height 3 cm. The prism is 20 cm long. Work out its volume.
  23. 23rd October 1971A bag holds 6 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  24. 24th October 1971A box plot has minimum 2, lower quartile 4, median 7, upper quartile 11 and maximum 21. Work out the interquartile range.
  25. 25th October 1971A meal deal has 8 mains, 8 sides and 6 drinks. How many different meals are possible?
  26. 26th October 1971Make x the subject of y = 2x^2 - 4.
  27. 27th October 1971Work out 75% of 200.
  28. 28th October 1971Work out the size of one exterior angle of a regular decagon.
  29. 29th October 1971A biased coin lands on heads with probability 0.2. It is thrown 100 times. How many heads would you expect?
  30. 30th October 1971A scatter graph plots the height of a tree and its age. What type of correlation would you expect?
  31. 31st October 1971A bill is £96 including VAT at 20%. Work out the amount before VAT.

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