Daily Practice · Higher

November 1980 5-a-day

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November 1980

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 1980

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 1980Factorise x^2 + 9x + 18.
  2. 2nd November 1980y is inversely proportional to x. When x = 5, y = 10. Work out y when x = 2.
  3. 3rd November 1980Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
  4. 4th November 198024 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  5. 5th November 1980Four classes in order have frequencies 5, 5, 12, 5. Write down the cumulative frequency at the end of the third class.
  6. 6th November 1980A bill is £864 including VAT at 20%. Work out the amount before VAT.
  7. 7th November 1980Work out the equation of the line parallel to y = -x + 2 that passes through (1, 10).
  8. 8th November 1980y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 3.
  9. 9th November 1980A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
  10. 10th November 19802 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  11. 11th November 198035 voles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
  12. 12th November 1980A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
  13. 13th November 1980A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
  14. 14th November 1980y is directly proportional to x. When x = 8, y = 72. Work out y when x = 2.
  15. 15th November 1980ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
  16. 16th November 198031 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  17. 17th November 1980A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
  18. 18th November 1980Work out (20 x 10^10) / (5 x 10^2). Give your answer in standard form.
  19. 19th November 1980For the curve y = -32/x, work out y when x = 4, and write down the equation of its vertical asymptote.
  20. 20th November 1980A town's population is 35500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
  21. 21st November 1980A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
  22. 22nd November 19805 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  23. 23rd November 1980A box plot has a minimum of 3 and a maximum of 18. Work out the range.
  24. 24th November 1980Write the recurring decimal 0.444... as a fraction in its simplest form.
  25. 25th November 1980Expand and simplify (x + 4)(x + 2)(x + 5).
  26. 26th November 1980A block has volume 55 cm^3 and density 4 g/cm^3. Work out its mass.
  27. 27th November 1980A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
  28. 28th November 198018 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  29. 29th November 1980A box plot has minimum 1, lower quartile 10, median 13, upper quartile 18 and maximum 28. Work out the interquartile range.
  30. 30th November 1980Work out 36^(3/2).

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