Daily Practice · Higher
September 1981 5-a-day
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The batch download puts all 5 tiers' September 1981 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 198110 fish are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 2nd September 1981A meal deal has 9 mains, 7 sides and 4 drinks. How many different meals are possible?
- 3rd September 1981For the curve y = 2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 4th September 1981y is directly proportional to x. When x = 9, y = 72. Work out y when x = 15.
- 5th September 1981A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 6th September 19818 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th September 1981A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th September 1981A mass is 22.2 kg, correct to 1 decimal place. Write down the upper bound.
- 9th September 1981Expand and simplify (x + 3)(x + 1)(x + 2).
- 10th September 1981A town's population is 34000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 11th September 1981A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 12th September 198116 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th September 1981A box plot has a minimum of 11 and a maximum of 63. Work out the range.
- 14th September 1981Write 9^-3 as a fraction.
- 15th September 1981Make x the subject of y = 2x^2 - 8.
- 16th September 1981A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 17th September 1981In triangle ABC, angle A is 80°, angle B is 61° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th September 19811 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th September 1981A box plot has minimum 5, lower quartile 14, median 23, upper quartile 31 and maximum 33. Work out the interquartile range.
- 20th September 1981Work out (6 x 10^7) x (2 x 10^4). Give your answer in standard form.
- 21st September 1981Factorise x^2 - 4.
- 22nd September 1981x : y = 2 : 9. Write y in terms of x.
- 23rd September 1981A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 24th September 198122 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th September 1981A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 26th September 1981Write the recurring decimal 0.3333... as a fraction in its simplest form.
- 27th September 1981A region is defined by y <= 4x - 2. Should the boundary line be solid or dashed, and why?
- 28th September 1981A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 29th September 1981The point (-6, 1) is enlarged by scale factor -2 about the centre (2, 1). Write down the coordinates of the image.
- 30th September 19816 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.