Daily Practice · Higher
November 1985 5-a-day
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The batch download puts all 5 tiers' November 1985 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1985Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 2nd November 198527 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd November 1985A box plot has a minimum of 13 and a maximum of 54. Work out the range.
- 4th November 1985A mass is 40 kg, correct to the nearest 10. Write down the lower bound.
- 5th November 1985Work out the equation of the line parallel to y = 5x - 5 that passes through (4, 13).
- 6th November 1985A block has volume 20 cm^3 and density 11 g/cm^3. Work out its mass.
- 7th November 1985A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 8th November 19854 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th November 1985A box plot has minimum 8, lower quartile 11, median 19, upper quartile 26 and maximum 36. Work out the interquartile range.
- 10th November 1985Write 4^-1 as a fraction.
- 11th November 1985A line has equation y = -4x + 8. Work out the gradient of any line perpendicular to it.
- 12th November 1985x : y = 2 : 7. Write y in terms of x.
- 13th November 1985ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 14th November 198514 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th November 1985A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 16th November 1985Work out (8 x 10^4) x (3 x 10^-5). Give your answer in standard form.
- 17th November 1985For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 18th November 1985A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 19th November 1985A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 20th November 19852 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st November 1985A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 22nd November 1985Write the recurring decimal 0.8080... as a fraction in its simplest form.
- 23rd November 1985Expand and simplify (x - 2)(x - 3)(x - 2).
- 24th November 1985y is inversely proportional to x. When x = 6, y = 6. Work out y when x = 2.
- 25th November 1985A cone has base radius 3 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 26th November 198521 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th November 1985Four classes in order have frequencies 11, 5, 10, 3. Write down the cumulative frequency at the end of the third class.
- 28th November 1985A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 29th November 1985Make x the subject of y = 2x^2 - 8.
- 30th November 1985y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 8.