Daily Practice · Higher

November 2024 - Higher 5-a-day

Every Higher sheet published in November 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.

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November 2024

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 2024 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 2024

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 202424 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd November 2024A box plot has minimum 1, lower quartile 4, median 10, upper quartile 18 and maximum 27. Work out the interquartile range.
  3. 3rd November 2024Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
  4. 4th November 2024A region is defined by y <= x + 3. Should the boundary line be solid or dashed, and why?
  5. 5th November 2024x : y = 5 : 8. Write y in terms of x.
  6. 6th November 2024The point (1, -3) is enlarged by scale factor -3 about the centre (-4, 2). Write down the coordinates of the image.
  7. 7th November 20245 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  8. 8th November 2024A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
  9. 9th November 2024A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?
  10. 10th November 2024Factorise x^2 + 12x + 35.
  11. 11th November 2024A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
  12. 12th November 2024Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 837 cm^3. Work out the volume of the smaller.
  13. 13th November 202419 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th November 2024A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
  15. 15th November 2024A mass is 320 kg, correct to the nearest 10. Write down the upper bound.
  16. 16th November 2024Work out the equation of the line parallel to y = -2x + 5 that passes through (6, -11).
  17. 17th November 2024y is inversely proportional to x. When x = 9, y = 72. Work out y when x = 12.
  18. 18th November 2024A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
  19. 19th November 20242 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th November 2024Four classes in order have frequencies 6, 9, 4, 10. Write down the cumulative frequency at the end of the third class.
  21. 21st November 2024Write 8^-3 as a fraction.
  22. 22nd November 2024A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
  23. 23rd November 2024y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 5.
  24. 24th November 2024ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
  25. 25th November 202413 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  26. 26th November 202425 beetles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
  27. 27th November 2024Work out (9 x 10^6) x (3 x 10^-4). Give your answer in standard form.
  28. 28th November 2024For the curve y = -25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  29. 29th November 2024y is directly proportional to x. When x = 8, y = 40. Work out y when x = 4.
  30. 30th November 2024A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.

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