Daily Practice · Higher
February 1986 5-a-day
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The batch download puts all 5 tiers' February 1986 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1986A box plot has minimum 14, lower quartile 20, median 26, upper quartile 30 and maximum 37. Work out the interquartile range.
- 2nd February 1986A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 3rd February 1986Factorise x^2 + x - 2.
- 4th February 1986x : y = 2 : 7. Write y in terms of x.
- 5th February 1986Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 24 cm^3. Work out the volume of the smaller.
- 6th February 198620 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th February 1986A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 8th February 1986A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th February 1986Work out the equation of the line parallel to y = -5x + 3 that passes through (3, -23).
- 10th February 1986A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 11th February 1986A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 12th February 19866 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th February 1986A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 14th February 1986Work out (18 x 10^8) / (3 x 10^2). Give your answer in standard form.
- 15th February 1986A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 16th February 1986y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.
- 17th February 1986ABCD is a cyclic quadrilateral. Angle ABC is 125°. Work out angle ADC.
- 18th February 198626 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th February 1986Four classes in order have frequencies 10, 10, 11, 10. Write down the cumulative frequency at the end of the third class.
- 20th February 1986Write the recurring decimal 0.111... as a fraction in its simplest form.
- 21st February 1986For the curve y = 20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 22nd February 1986y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 7.
- 23rd February 1986A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 24th February 19867 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th February 198625 fish are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 26th February 1986Work out 125^(2/3).
- 27th February 1986Expand and simplify (x - 3)(x - 1)(x + 2).
- 28th February 1986y is directly proportional to x. When x = 6, y = 18. Work out y when x = 12.