Daily Practice · Higher
September 1983 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1983 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1983A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd September 198321 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1983A box plot has minimum 14, lower quartile 23, median 31, upper quartile 41 and maximum 51. Work out the interquartile range.
- 4th September 1983A mass is 16.5 kg, correct to 1 decimal place. Write down the lower bound.
- 5th September 1983Make x the subject of y = 2x^2 - 10.
- 6th September 1983x : y = 3 : 7. Write y in terms of x.
- 7th September 1983In triangle ABC, angle A is 60°, angle B is 42° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th September 19831 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1983A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 10th September 1983Write 9^-3 as a fraction.
- 11th September 1983Factorise x^2 - 9.
- 12th September 1983A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 13th September 1983A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 14th September 198313 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 1983A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 16th September 1983Work out (7 x 10^5) x (9 x 10^4). Give your answer in standard form.
- 17th September 1983A region is defined by y <= x - 1. Should the boundary line be solid or dashed, and why?
- 18th September 1983y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 6.
- 19th September 1983The point (-6, 5) is enlarged by scale factor -1 about the centre (-3, -3). Write down the coordinates of the image.
- 20th September 19833 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 1983Four classes in order have frequencies 5, 9, 3, 11. Write down the cumulative frequency at the end of the third class.
- 22nd September 1983Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 23rd September 1983Factorise x^2 + 4x - 21.
- 24th September 1983y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 5.
- 25th September 1983Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 810 cm^3. Work out the volume of the smaller.
- 26th September 198321 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 198325 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 28th September 1983A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 29th September 1983Work out the equation of the line parallel to y = 4x + 9 that passes through (3, 21).
- 30th September 1983y is directly proportional to x. When x = 5, y = 50. Work out y when x = 2.