Daily Practice · Higher
October 1985 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1985x : y = 5 : 7. Write y in terms of x.
- 2nd October 1985A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 3rd October 19856 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th October 1985A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 5th October 1985Work out (63 x 10^6) / (7 x 10^2). Give your answer in standard form.
- 6th October 1985Expand and simplify (x + 5)(x + 5)(x - 5).
- 7th October 1985A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 8th October 1985A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 9th October 198530 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th October 1985A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 11th October 1985Write the recurring decimal 0.555... as a fraction in its simplest form.
- 12th October 1985Make x the subject of y = 3x^2 - 4.
- 13th October 1985y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 3.
- 14th October 1985In triangle ABC, angle A is 35°, angle B is 35° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th October 19857 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th October 1985Four classes in order have frequencies 10, 8, 10, 12. Write down the cumulative frequency at the end of the third class.
- 17th October 1985Work out 25^(3/2).
- 18th October 1985Factorise x^2 - 25.
- 19th October 1985y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 9.
- 20th October 1985A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 21st October 198511 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd October 198560 newts are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 23rd October 1985Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 24th October 1985A region is defined by y <= 3x - 8. Should the boundary line be solid or dashed, and why?
- 25th October 1985y is directly proportional to x. When x = 2, y = 6. Work out y when x = 10.
- 26th October 1985The point (3, 4) is enlarged by scale factor -1 about the centre (1, 0). Write down the coordinates of the image.
- 27th October 19855 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th October 1985A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th October 1985A meal deal has 8 mains, 5 sides and 3 drinks. How many different meals are possible?
- 30th October 1985Factorise x^2 + 12x + 35.
- 31st October 1985A town's population is 10000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.