Daily Practice · Higher
August 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' August 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1992y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 3.
- 2nd August 1992A, B and C are points on a circle with centre O. Angle AOC is 100°. Work out angle ABC, where B is on the major arc.
- 3rd August 19921 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 199220 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 5th August 1992A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 6th August 1992Expand and simplify (x - 3)(x - 4)(x - 1).
- 7th August 1992y is directly proportional to x. When x = 7, y = 70. Work out y when x = 13.
- 8th August 1992A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 9th August 199217 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 1992A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th August 1992A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th August 1992Make x the subject of y = 4x^2 - 4.
- 13th August 1992A town's population is 9000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 14th August 1992In triangle ABC, angle A is 31°, angle B is 88° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th August 19921 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 1992A box plot has a minimum of 3 and a maximum of 39. Work out the range.
- 17th August 1992Work out (32 x 10^12) / (4 x 10^5). Give your answer in standard form.
- 18th August 1992Factorise x^2 - 121.
- 19th August 1992A block has volume 185 cm^3 and density 3 g/cm^3. Work out its mass.
- 20th August 1992A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 21st August 199211 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 1992A box plot has minimum 15, lower quartile 25, median 29, upper quartile 33 and maximum 42. Work out the interquartile range.
- 23rd August 1992Write the recurring decimal 0.666... as a fraction in its simplest form.
- 24th August 1992A region is defined by y < 3x - 2. Should the boundary line be solid or dashed, and why?
- 25th August 1992x : y = 7 : 9. Write y in terms of x.
- 26th August 1992The point (1, 1) is enlarged by scale factor -2 about the centre (4, 0). Write down the coordinates of the image.
- 27th August 19923 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1992A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 29th August 1992Work out 100^(3/2).
- 30th August 1992Factorise x^2 + 3x - 28.
- 31st August 1992A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.