Daily Practice · Higher
March 1991 5-a-day
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The batch download puts all 5 tiers' March 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1991A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 2nd March 1991A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd March 1991Make x the subject of y = 5x^2 - 2.
- 4th March 1991A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 5th March 1991In triangle ABC, angle A is 68°, angle B is 45° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th March 19915 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 1991A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 8th March 1991Work out (81 x 10^9) / (9 x 10^5). Give your answer in standard form.
- 9th March 1991Factorise x^2 - 9.
- 10th March 1991y is inversely proportional to x. When x = 4, y = 20. Work out y when x = 10.
- 11th March 1991A 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.
- 12th March 199116 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 1991Four classes in order have frequencies 10, 3, 8, 7. Write down the cumulative frequency at the end of the third class.
- 14th March 1991Write the recurring decimal 0.555... as a fraction in its simplest form.
- 15th March 1991A region is defined by y <= 5x - 1. Should the boundary line be solid or dashed, and why?
- 16th March 1991y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 6.
- 17th March 1991The point (-6, 5) is enlarged by scale factor -1 about the centre (3, -2). Write down the coordinates of the image.
- 18th March 19914 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 199130 voles are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 20th March 1991Work out 81^(3/2).
- 21st March 1991Factorise x^2 + 4x - 21.
- 22nd March 1991y is directly proportional to x. When x = 5, y = 15. Work out y when x = 4.
- 23rd March 1991Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
- 24th March 199114 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 1991A cumulative frequency graph is drawn for 152 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th March 1991Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 27th March 1991Work out the equation of the line parallel to y = -5x - 9 that passes through (3, -26).
- 28th March 1991A town's population is 6500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 29th March 1991A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 30th March 19911 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 1991A box plot has a minimum of 14 and a maximum of 24. Work out the range.