Daily Practice · Higher

November 1988 5-a-day

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November 1988

30 sheets · 150 questions · Grades 6-7

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The batch download puts all 5 tiers' November 1988 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in November 1988

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 1988A region is defined by y <= -4x + 9. Should the boundary line be solid or dashed, and why?
  2. 2nd November 1988A block has volume 200 cm^3 and density 2.5 g/cm^3. Work out its mass.
  3. 3rd November 1988The point (-6, -5) is enlarged by scale factor -3 about the centre (4, 2). Write down the coordinates of the image.
  4. 4th November 19887 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  5. 5th November 1988A box plot has minimum 11, lower quartile 20, median 26, upper quartile 35 and maximum 39. Work out the interquartile range.
  6. 6th November 1988Write the recurring decimal 0.111... as a fraction in its simplest form.
  7. 7th November 1988Factorise x^2 + 9x + 14.
  8. 8th November 1988x : y = 2 : 5. Write y in terms of x.
  9. 9th November 1988Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
  10. 10th November 198827 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  11. 11th November 1988A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
  12. 12th November 1988Work out 216^(2/3).
  13. 13th November 1988Work out the equation of the line parallel to y = x - 6 that passes through (4, 1).
  14. 14th November 1988A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
  15. 15th November 1988A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
  16. 16th November 19881 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  17. 17th November 1988A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
  18. 18th November 1988Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
  19. 19th November 1988A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
  20. 20th November 1988y is inversely proportional to x. When x = 3, y = 10. Work out y when x = 5.
  21. 21st November 1988ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
  22. 22nd November 19888 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  23. 23rd November 1988Four classes in order have frequencies 9, 9, 6, 8. Write down the cumulative frequency at the end of the third class.
  24. 24th November 1988A meal deal has 5 mains, 9 sides and 5 drinks. How many different meals are possible?
  25. 25th November 1988For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
  26. 26th November 1988y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 4.
  27. 27th November 1988A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
  28. 28th November 19885 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  29. 29th November 198820 beetles are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
  30. 30th November 1988A mass is 59 kg, correct to the nearest whole number. Write down the lower bound.

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