Daily Practice · Higher
April 1991 5-a-day
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The batch download puts all 5 tiers' April 1991 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1991A meal deal has 6 mains, 6 sides and 5 drinks. How many different meals are possible?
- 2nd April 1991A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 3rd April 1991A block has volume 145 cm^3 and density 3 g/cm^3. Work out its mass.
- 4th April 1991ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 5th April 199121 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 1991A box plot has minimum 7, lower quartile 13, median 16, upper quartile 18 and maximum 22. Work out the interquartile range.
- 7th April 1991A mass is 590 kg, correct to the nearest 10. Write down the lower bound.
- 8th April 1991For the curve y = -2/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 9th April 1991x : y = 2 : 5. Write y in terms of x.
- 10th April 1991A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 11th April 19913 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 1991A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 13th April 1991Write 2^-1 as a fraction.
- 14th April 1991Expand and simplify (x - 1)(x + 3)(x + 3).
- 15th April 1991A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 16th April 1991A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 17th April 199125 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 1991A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 19th April 1991Work out (8 x 10^8) x (8 x 10^6). Give your answer in standard form.
- 20th April 1991Make x the subject of y = 7x^2 - 3.
- 21st April 1991y is inversely proportional to x. When x = 9, y = 10. Work out y when x = 10.
- 22nd April 1991In triangle ABC, angle A is 75°, angle B is 58° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd April 19911 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 1991Four classes in order have frequencies 5, 7, 6, 8. Write down the cumulative frequency at the end of the third class.
- 25th April 1991Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 26th April 1991Factorise x^2 - 100.
- 27th April 1991y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 2.
- 28th April 1991A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 29th April 199123 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 199155 fish are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.