Daily Practice · Higher

May 1994 - Higher 5-a-day

← Today's Higher sheet

May 1994

31 sheets · 155 questions · Grades 6-7

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The batch download puts all 5 tiers' May 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in May 1994

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st May 19942 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  2. 2nd May 1994A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
  3. 3rd May 1994A mass is 9.2 kg, correct to 1 decimal place. Write down the lower bound.
  4. 4th May 1994Factorise x^2 - 49.
  5. 5th May 1994A town's population is 20000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
  6. 6th May 1994A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
  7. 7th May 199417 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  8. 8th May 1994A box plot has a minimum of 20 and a maximum of 64. Work out the range.
  9. 9th May 1994Write 5^-3 as a fraction.
  10. 10th May 1994A region is defined by y <= -x + 3. Should the boundary line be solid or dashed, and why?
  11. 11th May 1994A block has volume 165 cm^3 and density 4 g/cm^3. Work out its mass.
  12. 12th May 1994The point (3, -4) is enlarged by scale factor -2 about the centre (3, 3). Write down the coordinates of the image.
  13. 13th May 19947 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  14. 14th May 1994A box plot has minimum 4, lower quartile 8, median 15, upper quartile 22 and maximum 25. Work out the interquartile range.
  15. 15th May 1994Work out (6 x 10^4) x (5 x 10^-3). Give your answer in standard form.
  16. 16th May 1994Factorise x^2 + 11x + 18.
  17. 17th May 1994x : y = 2 : 3. Write y in terms of x.
  18. 18th May 1994Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
  19. 19th May 199420 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  20. 20th May 1994A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
  21. 21st May 1994Write the recurring decimal 0.6666... as a fraction in its simplest form.
  22. 22nd May 1994Work out the equation of the line parallel to y = 4x - 7 that passes through (1, -4).
  23. 23rd May 1994A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
  24. 24th May 1994A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
  25. 25th May 19942 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  26. 26th May 1994A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
  27. 27th May 1994A bill is £240 including VAT at 20%. Work out the amount before VAT.
  28. 28th May 1994A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
  29. 29th May 1994y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 12.
  30. 30th May 1994ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
  31. 31st May 199424 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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