Daily Practice · Higher
May 1982 5-a-day
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The batch download puts all 5 tiers' May 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1982For the curve y = 8/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 2nd May 1982y is inversely proportional to x. When x = 3, y = 20. Work out y when x = 10.
- 3rd May 1982A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
- 4th May 19822 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th May 1982Four classes in order have frequencies 4, 4, 8, 11. Write down the cumulative frequency at the end of the third class.
- 6th May 1982Write the recurring decimal 0.111... as a fraction in its simplest form.
- 7th May 1982Expand and simplify (x - 5)(x + 4)(x - 4).
- 8th May 1982y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 7.
- 9th May 1982A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 10th May 198219 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th May 198250 newts are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 12th May 1982Work out 36^(3/2).
- 13th May 1982Make x the subject of y = 4x^2 - 3.
- 14th May 1982y is directly proportional to x. When x = 7, y = 42. Work out y when x = 2.
- 15th May 1982In triangle ABC, angle A is 67°, angle B is 73° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th May 19825 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th May 1982A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th May 1982Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 19th May 1982Factorise x^2 - 144.
- 20th May 1982A town's population is 24500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 21st May 1982A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 22nd May 198221 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd May 1982A box plot has a minimum of 6 and a maximum of 36. Work out the range.
- 24th May 1982A meal deal has 9 mains, 8 sides and 6 drinks. How many different meals are possible?
- 25th May 1982A region is defined by y <= x + 3. Should the boundary line be solid or dashed, and why?
- 26th May 1982A block has volume 20 cm^3 and density 3 g/cm^3. Work out its mass.
- 27th May 1982The point (0, -1) is enlarged by scale factor -1 about the centre (-3, 2). Write down the coordinates of the image.
- 28th May 19825 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th May 1982A box plot has minimum 2, lower quartile 11, median 17, upper quartile 25 and maximum 29. Work out the interquartile range.
- 30th May 1982A mass is 25.5 kg, correct to 1 decimal place. Write down the lower bound.
- 31st May 1982Factorise x^2 + 4x - 21.