Daily Practice · Higher
June 1991 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1991 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1991Expand and simplify (x - 5)(x + 5)(x + 1).
- 2nd June 1991y is inversely proportional to x. When x = 5, y = 36. Work out y when x = 12.
- 3rd June 1991A cone has base radius 6 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 4th June 199127 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 1991Four classes in order have frequencies 8, 6, 12, 4. Write down the cumulative frequency at the end of the third class.
- 6th June 1991A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
- 7th June 1991Make x the subject of y = 2x^2 - 11.
- 8th June 1991y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 2.
- 9th June 1991In triangle ABC, angle A is 37°, angle B is 81° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th June 19914 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 199145 voles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 12th June 1991A mass is 53 kg, correct to the nearest whole number. Write down the upper bound.
- 13th June 1991Factorise x^2 - 144.
- 14th June 1991y is directly proportional to x. When x = 2, y = 24. Work out y when x = 4.
- 15th June 1991A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 16th June 19919 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 1991A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th June 1991Write 7^-1 as a fraction.
- 19th June 1991A region is defined by y < -3x - 2. Should the boundary line be solid or dashed, and why?
- 20th June 1991A town's population is 29000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 21st June 1991The point (-6, -1) is enlarged by scale factor -3 about the centre (1, 1). Write down the coordinates of the image.
- 22nd June 19914 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 1991A box plot has a minimum of 14 and a maximum of 62. Work out the range.
- 24th June 1991Work out (2 x 10^4) x (9 x 10^-3). Give your answer in standard form.
- 25th June 1991Factorise x^2 - 11x + 30.
- 26th June 1991A block has volume 175 cm^3 and density 3 g/cm^3. Work out its mass.
- 27th June 1991Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 16 cm^3. Work out the volume of the smaller.
- 28th June 199120 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 1991A box plot has minimum 3, lower quartile 9, median 15, upper quartile 20 and maximum 25. Work out the interquartile range.
- 30th June 1991Write the recurring decimal 0.7676... as a fraction in its simplest form.