Daily Practice · Higher
June 1987 5-a-day
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The batch download puts all 5 tiers' June 1987 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 198717 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 198715 fish are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 3rd June 1987Work out 16^(3/2).
- 4th June 1987Work out the equation of the line parallel to y = -3x + 7 that passes through (1, 5).
- 5th June 1987y is directly proportional to x. When x = 6, y = 60. Work out y when x = 4.
- 6th June 1987A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 7th June 19872 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 1987A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th June 1987Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 10th June 1987A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 11th June 1987A town's population is 38500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 12th June 1987ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 13th June 198724 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 1987A box plot has a minimum of 6 and a maximum of 58. Work out the range.
- 15th June 1987A meal deal has 8 mains, 5 sides and 5 drinks. How many different meals are possible?
- 16th June 1987For the curve y = -70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 17th June 1987A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 18th June 1987A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 19th June 19871 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 1987A box plot has minimum 2, lower quartile 5, median 7, upper quartile 11 and maximum 15. Work out the interquartile range.
- 21st June 1987A mass is 8.7 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd June 1987Expand and simplify (x - 4)(x - 5)(x + 2).
- 23rd June 1987x : y = 3 : 5. Write y in terms of x.
- 24th June 1987A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 25th June 198715 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 1987A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 27th June 1987Write 8^-1 as a fraction.
- 28th June 1987Make x the subject of y = 9x^2 - 3.
- 29th June 1987A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 30th June 1987In triangle ABC, angle A is 35°, angle B is 105° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.