Daily Practice · Higher
August 1997 - Higher 5-a-day
Every Higher sheet published in August 1997, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 1997 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1997
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 19973 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd August 1997A box plot has minimum 13, lower quartile 23, median 30, upper quartile 36 and maximum 42. Work out the interquartile range.
- 3rd August 1997A mass is 9.1 kg, correct to 1 decimal place. Write down the lower bound.
- 4th August 1997Expand and simplify (x - 4)(x + 1)(x - 4).
- 5th August 1997x : y = 4 : 9. Write y in terms of x.
- 6th August 1997A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 7th August 199715 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th August 1997A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 9th August 1997Write 2^-2 as a fraction.
- 10th August 1997Make x the subject of y = 5x^2 - 10.
- 11th August 1997A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th August 1997In triangle ABC, angle A is 31°, angle B is 93° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th August 19977 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th August 1997A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 15th August 1997Work out (9 x 10^3) x (8 x 10^-6). Give your answer in standard form.
- 16th August 1997Factorise x^2 - 16.
- 17th August 1997y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 6.
- 18th August 1997A 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.
- 19th August 199721 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th August 1997Four classes in order have frequencies 9, 9, 10, 4. Write down the cumulative frequency at the end of the third class.
- 21st August 1997Write the recurring decimal 0.7272... as a fraction in its simplest form.
- 22nd August 1997A region is defined by y <= -2x - 5. Should the boundary line be solid or dashed, and why?
- 23rd August 1997y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 4.
- 24th August 1997The point (3, -2) is enlarged by scale factor -3 about the centre (4, 1). Write down the coordinates of the image.
- 25th August 19973 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th August 199740 newts are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 27th August 1997A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 28th August 1997Factorise x^2 - 6x - 27.
- 29th August 1997y is directly proportional to x. When x = 9, y = 27. Work out y when x = 10.
- 30th August 1997Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 176 cm^3. Work out the volume of the smaller.
- 31st August 199725 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.