Daily Practice · Higher

November 1973 5-a-day

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November 1973

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 1973 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 1973

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 1973Work out (27 x 10^11) / (3 x 10^4). Give your answer in standard form.
  2. 2nd November 1973Factorise x^2 - 36.
  3. 3rd November 1973y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 4.
  4. 4th November 1973A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
  5. 5th November 197325 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  6. 6th November 197340 fish are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
  7. 7th November 1973Write the recurring decimal 0.333... as a fraction in its simplest form.
  8. 8th November 1973A region is defined by y < 3x - 6. Should the boundary line be solid or dashed, and why?
  9. 9th November 1973y is directly proportional to x. When x = 7, y = 70. Work out y when x = 15.
  10. 10th November 1973The point (4, -5) is enlarged by scale factor -1 about the centre (3, 3). Write down the coordinates of the image.
  11. 11th November 19734 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  12. 12th November 1973A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
  13. 13th November 1973Work out 27^(2/3).
  14. 14th November 1973Factorise x^2 + 5x - 36.
  15. 15th November 1973A town's population is 27000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
  16. 16th November 1973Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
  17. 17th November 197315 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  18. 18th November 1973A box plot has a minimum of 14 and a maximum of 31. Work out the range.
  19. 19th November 1973Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
  20. 20th November 1973Work out the equation of the line parallel to y = -5x + 4 that passes through (6, -33).
  21. 21st November 1973A block has volume 100 cm^3 and density 4 g/cm^3. Work out its mass.
  22. 22nd November 1973A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
  23. 23rd November 19731 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  24. 24th November 1973A box plot has minimum 2, lower quartile 8, median 10, upper quartile 16 and maximum 20. Work out the interquartile range.
  25. 25th November 1973A meal deal has 7 mains, 8 sides and 5 drinks. How many different meals are possible?
  26. 26th November 1973A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
  27. 27th November 1973x : y = 2 : 3. Write y in terms of x.
  28. 28th November 1973ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
  29. 29th November 197326 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  30. 30th November 1973A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.

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