Daily Practice · Higher
September 1986 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1986 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1986For the curve y = 20/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 2nd September 1986x : y = 5 : 9. Write y in terms of x.
- 3rd September 1986A, B and C are points on a circle with centre O. Angle AOC is 120°. Work out angle ABC, where B is on the major arc.
- 4th September 19862 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th September 1986A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 6th September 1986Write the recurring decimal 0.333... as a fraction in its simplest form.
- 7th September 1986Expand and simplify (x - 5)(x + 5)(x + 2).
- 8th September 1986A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th September 1986A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 10th September 198626 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th September 1986A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 12th September 1986Work out 100^(3/2).
- 13th September 1986Make x the subject of y = 7x^2 - 12.
- 14th September 1986y is inversely proportional to x. When x = 2, y = 10. Work out y when x = 10.
- 15th September 1986In triangle ABC, angle A is 44°, angle B is 56° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th September 19863 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th September 1986Four classes in order have frequencies 12, 3, 10, 10. Write down the cumulative frequency at the end of the third class.
- 18th September 1986Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 19th September 1986Factorise x^2 - 4.
- 20th September 1986y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 8.
- 21st September 1986A 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.
- 22nd September 198624 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd September 198655 voles are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 24th September 1986A meal deal has 5 mains, 4 sides and 6 drinks. How many different meals are possible?
- 25th September 1986A region is defined by y <= 4x - 2. Should the boundary line be solid or dashed, and why?
- 26th September 1986y is directly proportional to x. When x = 6, y = 24. Work out y when x = 10.
- 27th September 1986The point (-6, 5) is enlarged by scale factor -1 about the centre (-1, -4). Write down the coordinates of the image.
- 28th September 19862 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th September 1986A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th September 1986A mass is 250 kg, correct to the nearest 10. Write down the upper bound.