Daily Practice · Higher

November 1960 5-a-day

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November 1960

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 1960 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 1960

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 196019 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd November 1960Four classes in order have frequencies 5, 11, 10, 6. Write down the cumulative frequency at the end of the third class.
  3. 3rd November 1960Write the recurring decimal 0.333... as a fraction in its simplest form.
  4. 4th November 1960A region is defined by y <= 2x - 6. Should the boundary line be solid or dashed, and why?
  5. 5th November 1960y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 7.
  6. 6th November 1960The point (-3, -6) is enlarged by scale factor -2 about the centre (-4, -4). Write down the coordinates of the image.
  7. 7th November 19604 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 196040 newts are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
  9. 9th November 1960Work out 100^(3/2).
  10. 10th November 1960Factorise x^2 + 2x - 3.
  11. 11th November 1960y is directly proportional to x. When x = 7, y = 21. Work out y when x = 13.
  12. 12th November 1960Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 135 cm^3. Work out the volume of the smaller.
  13. 13th November 196025 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th November 1960A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
  15. 15th November 1960Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
  16. 16th November 1960Work out the equation of the line parallel to y = -x + 8 that passes through (1, -13).
  17. 17th November 1960A town's population is 31000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
  18. 18th November 1960A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
  19. 19th November 19604 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th November 1960A box plot has a minimum of 12 and a maximum of 59. Work out the range.
  21. 21st November 1960A meal deal has 3 mains, 3 sides and 3 drinks. How many different meals are possible?
  22. 22nd November 1960A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
  23. 23rd November 1960A block has volume 175 cm^3 and density 4 g/cm^3. Work out its mass.
  24. 24th November 1960ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
  25. 25th November 196030 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 1960A box plot has minimum 7, lower quartile 15, median 21, upper quartile 26 and maximum 33. Work out the interquartile range.
  27. 27th November 1960A mass is 290 kg, correct to the nearest 10. Write down the upper bound.
  28. 28th November 1960For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
  29. 29th November 1960x : y = 2 : 3. Write y in terms of x.
  30. 30th November 1960A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.

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