Daily Practice · Higher
October 1986 5-a-day
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The batch download puts all 5 tiers' October 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1986Factorise x^2 + 3x - 28.
- 2nd October 1986A town's population is 16000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 3rd October 1986Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 81 cm^3. Work out the volume of the smaller.
- 4th October 198611 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th October 1986A box plot has a minimum of 3 and a maximum of 29. Work out the range.
- 6th October 1986Write 7^-3 as a fraction.
- 7th October 1986Work out the equation of the line parallel to y = -x - 2 that passes through (1, -13).
- 8th October 1986A block has volume 20 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th October 1986A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 10th October 19864 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th October 1986A box plot has minimum 3, lower quartile 7, median 11, upper quartile 15 and maximum 18. Work out the interquartile range.
- 12th October 1986Work out (5 x 10^4) x (6 x 10^4). Give your answer in standard form.
- 13th October 1986A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 14th October 1986x : y = 5 : 9. Write y in terms of x.
- 15th October 1986ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 16th October 198616 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th October 1986A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 18th October 1986Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 19th October 1986For the curve y = 44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 20th October 1986A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st October 1986A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 22nd October 19861 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd October 1986A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 24th October 1986A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 25th October 1986Expand and simplify (x + 1)(x + 4)(x - 4).
- 26th October 1986y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 3.
- 27th October 1986A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 28th October 198619 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th October 1986Four classes in order have frequencies 11, 8, 12, 12. Write down the cumulative frequency at the end of the third class.
- 30th October 1986A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st October 1986Make x the subject of y = 3x^2 - 4.