Daily Practice · Higher
December 1981 5-a-day
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The batch download puts all 5 tiers' December 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1981Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 2nd December 1981A line has equation y = 2x + 3. Work out the gradient of any line perpendicular to it.
- 3rd December 1981A town's population is 19500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 4th December 1981ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 5th December 198116 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 December 1981A box plot has a minimum of 18 and a maximum of 44. Work out the range.
- 7th December 1981A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 8th December 1981For the curve y = 1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 9th December 1981A block has volume 185 cm^3 and density 3 g/cm^3. Work out its mass.
- 10th December 1981A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 11th December 19816 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th December 1981A box plot has minimum 5, lower quartile 13, median 22, upper quartile 24 and maximum 26. Work out the interquartile range.
- 13th December 1981A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th December 1981Expand and simplify (x - 1)(x + 1)(x - 1).
- 15th December 1981x : y = 2 : 9. Write y in terms of x.
- 16th December 1981A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 17th December 198125 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th December 1981A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 19th December 1981Work out (18 x 10^10) / (6 x 10^5). Give your answer in standard form.
- 20th December 1981Make x the subject of y = 6x^2 - 3.
- 21st December 1981A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd December 1981In triangle ABC, angle A is 31°, angle B is 112° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd December 19812 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th December 1981A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 25th December 1981Write the recurring decimal 0.111... as a fraction in its simplest form.
- 26th December 1981Factorise x^2 - 16.
- 27th December 1981y is inversely proportional to x. When x = 7, y = 72. Work out y when x = 12.
- 28th December 1981A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 29th December 198123 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th December 1981Four classes in order have frequencies 5, 7, 12, 7. Write down the cumulative frequency at the end of the third class.
- 31st December 1981Work out 64^(2/3).