Daily Practice · Higher
May 1988 5-a-day
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The batch download puts all 5 tiers' May 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1988Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2240 cm^3. Work out the volume of the smaller.
- 2nd May 198820 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 198830 newts are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 4th May 1988Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 5th May 1988Work out the equation of the line parallel to y = 3x + 4 that passes through (3, 0).
- 6th May 1988y is directly proportional to x. When x = 3, y = 6. Work out y when x = 10.
- 7th May 1988A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 8th May 19882 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 1988A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th May 1988A meal deal has 7 mains, 8 sides and 2 drinks. How many different meals are possible?
- 11th May 1988A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 12th May 1988A town's population is 12500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 13th May 1988ABCD is a cyclic quadrilateral. Angle ABC is 107°. Work out angle ADC.
- 14th May 198827 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th May 1988A box plot has a minimum of 9 and a maximum of 52. Work out the range.
- 16th May 1988A mass is 68 kg, correct to the nearest whole number. Write down the upper bound.
- 17th May 1988For the curve y = -70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 18th May 1988A block has volume 180 cm^3 and density 4 g/cm^3. Work out its mass.
- 19th May 1988A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 20th May 19883 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 1988A box plot has minimum 10, lower quartile 19, median 25, upper quartile 32 and maximum 37. Work out the interquartile range.
- 22nd May 1988Write 7^-2 as a fraction.
- 23rd May 1988Expand and simplify (x + 1)(x - 3)(x - 1).
- 24th May 1988x : y = 3 : 8. Write y in terms of x.
- 25th May 1988A cone has base radius 3 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 26th May 198823 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 1988A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th May 1988Work out (5 x 10^3) x (4 x 10^3). Give your answer in standard form.
- 29th May 1988Make x the subject of y = 6x^2 - 3.
- 30th May 1988A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 31st May 1988In triangle ABC, angle A is 37°, angle B is 82° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.