Daily Practice · Higher
August 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1982ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 2nd August 198224 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd August 198240 fish are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 4th August 1982A mass is 730 kg, correct to the nearest 10. Write down the upper bound.
- 5th August 1982For the curve y = -44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 6th August 1982y is directly proportional to x. When x = 5, y = 10. Work out y when x = 15.
- 7th August 1982A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 8th August 19825 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th August 1982A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th August 1982Write 8^-3 as a fraction.
- 11th August 1982Expand and simplify (x + 4)(x + 5)(x + 3).
- 12th August 1982A town's population is 18500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 13th August 1982A cone has base radius 2 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th August 198221 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th August 1982A box plot has a minimum of 11 and a maximum of 48. Work out the range.
- 16th August 1982Work out (9 x 10^4) x (8 x 10^2). Give your answer in standard form.
- 17th August 1982Make x the subject of y = 2x^2 - 11.
- 18th August 1982A block has volume 100 cm^3 and density 3 g/cm^3. Work out its mass.
- 19th August 1982In triangle ABC, angle A is 73°, angle B is 59° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th August 19824 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st August 1982A box plot has minimum 1, lower quartile 6, median 10, upper quartile 19 and maximum 27. Work out the interquartile range.
- 22nd August 1982Write the recurring decimal 0.7272... as a fraction in its simplest form.
- 23rd August 1982Factorise x^2 - 100.
- 24th August 1982x : y = 3 : 5. Write y in terms of x.
- 25th August 1982A 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.
- 26th August 198226 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th August 1982A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 28th August 1982A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 29th August 1982A region is defined by y < -5x - 4. Should the boundary line be solid or dashed, and why?
- 30th August 1982A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 31st August 1982The point (0, -2) is enlarged by scale factor -2 about the centre (-3, -4). Write down the coordinates of the image.