Daily Practice · Higher

November 1968 5-a-day

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November 1968

30 sheets · 150 questions · Grades 6-7

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Every sheet in November 1968

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st November 19686 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  2. 2nd November 1968A box plot has minimum 3, lower quartile 9, median 12, upper quartile 15 and maximum 21. Work out the interquartile range.
  3. 3rd November 1968A meal deal has 5 mains, 5 sides and 2 drinks. How many different meals are possible?
  4. 4th November 1968Factorise x^2 - 4.
  5. 5th November 1968x : y = 4 : 7. Write y in terms of x.
  6. 6th November 1968A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
  7. 7th November 196828 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  8. 8th November 1968A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  9. 9th November 1968A mass is 17 kg, correct to the nearest whole number. Write down the lower bound.
  10. 10th November 1968A region is defined by y <= x + 7. Should the boundary line be solid or dashed, and why?
  11. 11th November 1968A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
  12. 12th November 1968The point (1, -1) is enlarged by scale factor -2 about the centre (-3, 4). Write down the coordinates of the image.
  13. 13th November 19682 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  14. 14th November 1968A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
  15. 15th November 1968Write 4^-2 as a fraction.
  16. 16th November 1968Factorise x^2 - 9x + 20.
  17. 17th November 1968y is inversely proportional to x. When x = 6, y = 15. Work out y when x = 3.
  18. 18th November 1968Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
  19. 19th November 196821 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  20. 20th November 1968Four classes in order have frequencies 12, 6, 8, 6. Write down the cumulative frequency at the end of the third class.
  21. 21st November 1968Work out (2 x 10^8) x (4 x 10^4). Give your answer in standard form.
  22. 22nd November 1968Work out the equation of the line parallel to y = 5x + 1 that passes through (2, 13).
  23. 23rd November 1968y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 4.
  24. 24th November 1968A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
  25. 25th November 19682 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  26. 26th November 196815 newts are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
  27. 27th November 1968Write the recurring decimal 0.1717... as a fraction in its simplest form.
  28. 28th November 1968A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
  29. 29th November 1968y is directly proportional to x. When x = 8, y = 56. Work out y when x = 6.
  30. 30th November 1968ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.

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