Daily Practice · Higher
December 1986 5-a-day
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The batch download puts all 5 tiers' December 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1986A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 2nd December 1986ABCD is a cyclic quadrilateral. Angle ABC is 114°. Work out angle ADC.
- 3rd December 198619 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th December 1986A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 5th December 1986A mass is 80 kg, correct to the nearest 10. Write down the lower bound.
- 6th December 1986For the curve y = -4/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 7th December 1986y is inversely proportional to x. When x = 6, y = 12. Work out y when x = 2.
- 8th December 1986A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 9th December 19868 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th December 1986Four classes in order have frequencies 5, 6, 8, 8. Write down the cumulative frequency at the end of the third class.
- 11th December 1986Write 9^-2 as a fraction.
- 12th December 1986Expand and simplify (x + 2)(x - 1)(x + 4).
- 13th December 1986y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.
- 14th December 1986A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 15th December 198625 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th December 198650 voles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 17th December 1986Work out (7 x 10^4) x (2 x 10^5). Give your answer in standard form.
- 18th December 1986Make x the subject of y = 7x^2 - 8.
- 19th December 1986y is directly proportional to x. When x = 3, y = 15. Work out y when x = 7.
- 20th December 1986In triangle ABC, angle A is 30°, angle B is 62° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st December 19867 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd December 1986A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd December 1986Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 24th December 1986Factorise x^2 - 4.
- 25th December 1986A town's population is 31000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 26th December 1986A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 27th December 198619 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th December 1986A box plot has a minimum of 8 and a maximum of 63. Work out the range.
- 29th December 1986A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 30th December 1986A region is defined by y < -3x - 5. Should the boundary line be solid or dashed, and why?
- 31st December 1986A block has volume 140 cm^3 and density 7.5 g/cm^3. Work out its mass.