Daily Practice · Higher
May 1980 5-a-day
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The batch download puts all 5 tiers' May 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1980A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 2nd May 19803 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 1980A box plot has minimum 7, lower quartile 14, median 24, upper quartile 28 and maximum 32. Work out the interquartile range.
- 4th May 1980Work out (8 x 10^7) / (2 x 10^3). Give your answer in standard form.
- 5th May 1980A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 6th May 1980x : y = 4 : 5. Write y in terms of x.
- 7th May 1980ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 8th May 198017 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 1980A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 10th May 1980Write the recurring decimal 0.555... as a fraction in its simplest form.
- 11th May 1980For the curve y = 2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 12th May 1980A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 13th May 1980A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 14th May 19806 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1980A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 16th May 1980Work out 27^(2/3).
- 17th May 1980Expand and simplify (x + 3)(x + 1)(x - 1).
- 18th May 1980y is inversely proportional to x. When x = 4, y = 2. Work out y when x = 2.
- 19th May 1980A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 20th May 198013 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 1980Four classes in order have frequencies 4, 12, 9, 12. Write down the cumulative frequency at the end of the third class.
- 22nd May 1980Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 23rd May 1980Make x the subject of y = 8x^2 - 2.
- 24th May 1980y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 8.
- 25th May 1980In triangle ABC, angle A is 58°, angle B is 74° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th May 19804 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 198030 newts are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 28th May 1980A meal deal has 7 mains, 9 sides and 5 drinks. How many different meals are possible?
- 29th May 1980Factorise x^2 - 49.
- 30th May 1980y is directly proportional to x. When x = 7, y = 84. Work out y when x = 11.
- 31st May 1980A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.