Daily Practice · Higher
October 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 198214 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd October 1982A box plot has minimum 13, lower quartile 22, median 28, upper quartile 33 and maximum 35. Work out the interquartile range.
- 3rd October 1982A meal deal has 8 mains, 4 sides and 3 drinks. How many different meals are possible?
- 4th October 1982Make x the subject of y = 9x^2 - 7.
- 5th October 1982x : y = 4 : 7. Write y in terms of x.
- 6th October 1982In triangle ABC, angle A is 61°, angle B is 75° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th October 19827 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th October 1982A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 9th October 1982A mass is 550 kg, correct to the nearest 10. Write down the lower bound.
- 10th October 1982Factorise x^2 - 49.
- 11th October 1982A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th October 1982A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 13th October 198219 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th October 1982A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 15th October 1982Write 5^-1 as a fraction.
- 16th October 1982A region is defined by y < 3x + 3. Should the boundary line be solid or dashed, and why?
- 17th October 1982y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
- 18th October 1982The point (-1, 1) is enlarged by scale factor -1 about the centre (0, -2). Write down the coordinates of the image.
- 19th October 19824 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th October 1982Four classes in order have frequencies 12, 8, 4, 6. Write down the cumulative frequency at the end of the third class.
- 21st October 1982Work out (7 x 10^8) x (9 x 10^6). Give your answer in standard form.
- 22nd October 1982Factorise x^2 + 4x + 4.
- 23rd October 1982y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 7.
- 24th October 1982Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 960 cm^3. Work out the volume of the smaller.
- 25th October 198220 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th October 198240 voles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 27th October 1982Write the recurring decimal 0.1919... as a fraction in its simplest form.
- 28th October 1982Work out the equation of the line parallel to y = 3x - 7 that passes through (3, 8).
- 29th October 1982y is directly proportional to x. When x = 4, y = 12. Work out y when x = 2.
- 30th October 1982A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 31st October 19823 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.