Daily Practice · Higher

May 2002 - Higher 5-a-day

Every Higher sheet published in May 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.

← Today's Higher sheet

May 2002

31 sheets · 155 questions · Grades 6-7

Printing for a group?

The batch download puts all 5 tiers' May 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in May 2002

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 200219 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  2. 2nd May 2002A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
  3. 3rd May 2002Write the recurring decimal 0.4444... as a fraction in its simplest form.
  4. 4th May 2002Make x the subject of y = 8x^2 - 12.
  5. 5th May 2002y is inversely proportional to x. When x = 2, y = 36. Work out y when x = 6.
  6. 6th May 2002In triangle ABC, angle A is 37°, angle B is 52° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
  7. 7th May 20025 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  8. 8th May 2002Four classes in order have frequencies 10, 3, 4, 7. Write down the cumulative frequency at the end of the third class.
  9. 9th May 2002A bill is £240 including VAT at 20%. Work out the amount before VAT.
  10. 10th May 2002Factorise x^2 - 16.
  11. 11th May 2002y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 4.
  12. 12th May 2002A 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.
  13. 13th May 200217 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  14. 14th May 200260 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
  15. 15th May 2002A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
  16. 16th May 2002A region is defined by y < -2x + 7. Should the boundary line be solid or dashed, and why?
  17. 17th May 2002y is directly proportional to x. When x = 3, y = 30. Work out y when x = 14.
  18. 18th May 2002The point (5, -4) is enlarged by scale factor -2 about the centre (2, -2). Write down the coordinates of the image.
  19. 19th May 20021 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  20. 20th May 2002A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
  21. 21st May 2002Work out (32 x 10^11) / (8 x 10^5). Give your answer in standard form.
  22. 22nd May 2002Factorise x^2 - 2x - 15.
  23. 23rd May 2002A town's population is 25000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
  24. 24th May 2002Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 168 cm^3. Work out the volume of the smaller.
  25. 25th May 200221 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  26. 26th May 2002A box plot has a minimum of 18 and a maximum of 43. Work out the range.
  27. 27th May 2002Write the recurring decimal 0.333... as a fraction in its simplest form.
  28. 28th May 2002Work out the equation of the line parallel to y = -3x - 7 that passes through (2, 5).
  29. 29th May 2002A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
  30. 30th May 2002A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
  31. 31st May 20024 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

The same month at another level