Daily Practice · Higher
September 1991 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1991 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1991A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 2nd September 19917 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 199110 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 4th September 1991Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 5th September 1991Expand and simplify (x + 3)(x - 1)(x + 3).
- 6th September 1991y is directly proportional to x. When x = 7, y = 70. Work out y when x = 12.
- 7th September 1991A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 8th September 199124 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 1991A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th September 1991A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 11th September 1991Make x the subject of y = 8x^2 - 9.
- 12th September 1991A town's population is 23500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 13th September 1991In triangle ABC, angle A is 54°, angle B is 39° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th September 19911 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 1991A box plot has a minimum of 2 and a maximum of 45. Work out the range.
- 16th September 1991A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th September 1991Factorise x^2 - 144.
- 18th September 1991A block has volume 125 cm^3 and density 11 g/cm^3. Work out its mass.
- 19th September 1991A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 20th September 199114 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1991A box plot has minimum 12, lower quartile 17, median 24, upper quartile 32 and maximum 38. Work out the interquartile range.
- 22nd September 1991Work out (18 x 10^6) / (6 x 10^5). Give your answer in standard form.
- 23rd September 1991A region is defined by y < -2x + 3. Should the boundary line be solid or dashed, and why?
- 24th September 1991x : y = 5 : 8. Write y in terms of x.
- 25th September 1991The point (1, 2) is enlarged by scale factor -3 about the centre (3, 3). Write down the coordinates of the image.
- 26th September 19912 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1991A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 28th September 1991Write the recurring decimal 0.777... as a fraction in its simplest form.
- 29th September 1991Factorise x^2 + 12x + 32.
- 30th September 1991A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.