Daily Practice · Higher

October 1969 5-a-day

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October 1969

31 sheets · 155 questions · Grades 6-7

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The batch download puts all 5 tiers' October 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in October 1969

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 1969A block has volume 40 cm^3 and density 11 g/cm^3. Work out its mass.
  2. 2nd October 1969In triangle ABC, angle A is 38°, angle B is 81° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
  3. 3rd October 19692 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  4. 4th October 1969A box plot has minimum 6, lower quartile 12, median 21, upper quartile 23 and maximum 32. Work out the interquartile range.
  5. 5th October 1969A mass is 28 kg, correct to the nearest whole number. Write down the upper bound.
  6. 6th October 1969Factorise x^2 - 9.
  7. 7th October 1969x : y = 5 : 7. Write y in terms of x.
  8. 8th October 1969A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
  9. 9th October 196915 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  10. 10th October 1969A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  11. 11th October 1969Write 9^-3 as a fraction.
  12. 12th October 1969A region is defined by y < -5x - 4. Should the boundary line be solid or dashed, and why?
  13. 13th October 1969A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  14. 14th October 1969The point (5, 0) is enlarged by scale factor -3 about the centre (-4, 3). Write down the coordinates of the image.
  15. 15th October 19693 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  16. 16th October 1969A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
  17. 17th October 1969Work out (5 x 10^8) x (2 x 10^4). Give your answer in standard form.
  18. 18th October 1969Factorise x^2 - 15x + 54.
  19. 19th October 1969y is inversely proportional to x. When x = 6, y = 72. Work out y when x = 12.
  20. 20th October 1969Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 704 cm^3. Work out the volume of the smaller.
  21. 21st October 196924 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  22. 22nd October 1969Four classes in order have frequencies 3, 10, 8, 4. Write down the cumulative frequency at the end of the third class.
  23. 23rd October 1969Write the recurring decimal 0.8080... as a fraction in its simplest form.
  24. 24th October 1969Work out the equation of the line parallel to y = 4x - 1 that passes through (5, 13).
  25. 25th October 1969y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
  26. 26th October 1969A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
  27. 27th October 19694 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  28. 28th October 196955 beetles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
  29. 29th October 1969A bill is £96 including VAT at 20%. Work out the amount before VAT.
  30. 30th October 1969A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
  31. 31st October 1969y is directly proportional to x. When x = 8, y = 16. Work out y when x = 6.

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