Daily Practice · Higher
May 1990 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1990A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 2nd May 1990A block has volume 175 cm^3 and density 11 g/cm^3. Work out its mass.
- 3rd May 1990ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 4th May 19907 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th May 1990A box plot has minimum 13, lower quartile 20, median 25, upper quartile 31 and maximum 36. Work out the interquartile range.
- 6th May 1990A meal deal has 8 mains, 9 sides and 2 drinks. How many different meals are possible?
- 7th May 1990For the curve y = -1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 8th May 1990x : y = 3 : 7. Write y in terms of x.
- 9th May 1990A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 10th May 19904 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th May 1990A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th May 1990A mass is 19 kg, correct to the nearest whole number. Write down the lower bound.
- 13th May 1990Expand and simplify (x + 4)(x - 4)(x - 5).
- 14th May 1990A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th May 1990A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 16th May 199032 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th May 1990A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 18th May 1990Write 9^-3 as a fraction.
- 19th May 1990Make x the subject of y = 8x^2 - 7.
- 20th May 1990y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 6.
- 21st May 1990In triangle ABC, angle A is 35°, angle B is 110° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd May 19901 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd May 1990Four classes in order have frequencies 8, 4, 6, 7. Write down the cumulative frequency at the end of the third class.
- 24th May 1990Work out (9 x 10^5) x (2 x 10^-3). Give your answer in standard form.
- 25th May 1990Factorise x^2 - 49.
- 26th May 1990y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 4.
- 27th May 1990A 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.
- 28th May 199016 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th May 199015 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 30th May 1990Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 31st May 1990A region is defined by y < 2x - 3. Should the boundary line be solid or dashed, and why?