Daily Practice · Higher

November 1983 5-a-day

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November 1983

30 sheets · 150 questions · Grades 6-7

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Every sheet in November 1983

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 198325 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd November 1983Four classes in order have frequencies 10, 4, 10, 10. Write down the cumulative frequency at the end of the third class.
  3. 3rd November 1983A meal deal has 9 mains, 5 sides and 6 drinks. How many different meals are possible?
  4. 4th November 1983A region is defined by y <= 5x + 3. Should the boundary line be solid or dashed, and why?
  5. 5th November 1983y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 9.
  6. 6th November 1983The point (-4, 1) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.
  7. 7th November 19835 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  8. 8th November 198355 fish are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
  9. 9th November 1983A mass is 11 kg, correct to the nearest whole number. Write down the lower bound.
  10. 10th November 1983Factorise x^2 - 16.
  11. 11th November 1983y is directly proportional to x. When x = 4, y = 28. Work out y when x = 10.
  12. 12th November 1983Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1792 cm^3. Work out the volume of the smaller.
  13. 13th November 198328 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th November 1983A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
  15. 15th November 1983Write 8^-3 as a fraction.
  16. 16th November 1983Work out the equation of the line parallel to y = 5x - 3 that passes through (3, 19).
  17. 17th November 1983A town's population is 30000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
  18. 18th November 1983A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
  19. 19th November 19833 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th November 1983A box plot has a minimum of 14 and a maximum of 60. Work out the range.
  21. 21st November 1983Work out (2 x 10^8) x (2 x 10^-4). Give your answer in standard form.
  22. 22nd November 1983A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
  23. 23rd November 1983A block has volume 35 cm^3 and density 8 g/cm^3. Work out its mass.
  24. 24th November 1983ABCD is a cyclic quadrilateral. Angle ABC is 63°. Work out angle ADC.
  25. 25th November 198321 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  26. 26th November 1983A box plot has minimum 1, lower quartile 9, median 16, upper quartile 23 and maximum 32. Work out the interquartile range.
  27. 27th November 1983Write the recurring decimal 0.5656... as a fraction in its simplest form.
  28. 28th November 1983For the curve y = -36/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  29. 29th November 1983x : y = 5 : 6. Write y in terms of x.
  30. 30th November 1983A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.

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