Daily Practice · Higher
August 1980 5-a-day
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The batch download puts all 5 tiers' August 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1980A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 2nd August 1980A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
- 3rd August 1980Work out the equation of the line parallel to y = 5x - 7 that passes through (2, -1).
- 4th August 1980A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th August 1980A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 6th August 19802 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 1980A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 8th August 1980A mass is 43 kg, correct to the nearest whole number. Write down the upper bound.
- 9th August 1980A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 10th August 1980y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 6.
- 11th August 1980ABCD is a cyclic quadrilateral. Angle ABC is 100°. Work out angle ADC.
- 12th August 198018 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 1980Four classes in order have frequencies 8, 3, 11, 5. Write down the cumulative frequency at the end of the third class.
- 14th August 1980Write 7^-2 as a fraction.
- 15th August 1980For the curve y = 24/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 16th August 1980y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.
- 17th August 1980A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 18th August 19802 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 198050 voles are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 20th August 1980Work out (6 x 10^8) x (7 x 10^-4). Give your answer in standard form.
- 21st August 1980Expand and simplify (x - 3)(x - 3)(x - 3).
- 22nd August 1980y is directly proportional to x. When x = 3, y = 9. Work out y when x = 9.
- 23rd August 1980A cone has base radius 10 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 24th August 198026 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 1980A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th August 1980Write the recurring decimal 0.5353... as a fraction in its simplest form.
- 27th August 1980Make x the subject of y = 8x^2 - 4.
- 28th August 1980A town's population is 16000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 29th August 1980In triangle ABC, angle A is 51°, angle B is 56° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th August 19806 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 1980A box plot has a minimum of 11 and a maximum of 31. Work out the range.