Daily Practice · Higher
September 1987 5-a-day
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The batch download puts all 5 tiers' September 1987 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1987Write 3^-3 as a fraction.
- 2nd September 1987Factorise x^2 - 6x + 5.
- 3rd September 1987A town's population is 22500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 4th September 1987Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 296 cm^3. Work out the volume of the smaller.
- 5th September 198723 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 September 1987A box plot has a minimum of 11 and a maximum of 51. Work out the range.
- 7th September 1987Work out (9 x 10^6) x (6 x 10^4). Give your answer in standard form.
- 8th September 1987Work out the equation of the line parallel to y = 5x - 5 that passes through (2, -2).
- 9th September 1987A block has volume 20 cm^3 and density 4 g/cm^3. Work out its mass.
- 10th September 1987A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 11th September 19873 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1987A box plot has minimum 4, lower quartile 6, median 10, upper quartile 19 and maximum 22. Work out the interquartile range.
- 13th September 1987Write the recurring decimal 0.3333... as a fraction in its simplest form.
- 14th September 1987A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 15th September 1987x : y = 5 : 9. Write y in terms of x.
- 16th September 1987ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 17th September 198725 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1987A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 19th September 1987A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 20th September 1987For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 21st September 1987A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 22nd September 1987A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 23rd September 19873 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 1987A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 25th September 1987A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th September 1987Expand and simplify (x - 5)(x + 5)(x - 5).
- 27th September 1987y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 10.
- 28th September 1987A cone has base radius 4 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 29th September 198717 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 1987Four classes in order have frequencies 12, 11, 6, 12. Write down the cumulative frequency at the end of the third class.