Daily Practice · Higher
August 1983 5-a-day
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The batch download puts all 5 tiers' August 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1983A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 2nd August 1983The point (-2, -3) is enlarged by scale factor -2 about the centre (4, 4). Write down the coordinates of the image.
- 3rd August 19834 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 1983A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 5th August 1983Work out (72 x 10^6) / (9 x 10^4). Give your answer in standard form.
- 6th August 1983Factorise x^2 + 11x + 24.
- 7th August 1983y is inversely proportional to x. When x = 4, y = 18. Work out y when x = 3.
- 8th August 1983Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 9th August 198324 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 1983Four classes in order have frequencies 9, 6, 8, 8. Write down the cumulative frequency at the end of the third class.
- 11th August 1983Write the recurring decimal 0.111... as a fraction in its simplest form.
- 12th August 1983Work out the equation of the line parallel to y = 2x - 6 that passes through (4, 18).
- 13th August 1983y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 6.
- 14th August 1983A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 15th August 19835 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 198310 newts are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 17th August 1983Work out 49^(3/2).
- 18th August 1983A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
- 19th August 1983y is directly proportional to x. When x = 6, y = 72. Work out y when x = 11.
- 20th August 1983ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 21st August 198328 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 1983A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd August 1983Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 24th August 1983For the curve y = 60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 25th August 1983A town's population is 13500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 26th August 1983A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 27th August 19837 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1983A box plot has a minimum of 19 and a maximum of 58. Work out the range.
- 29th August 1983A meal deal has 7 mains, 6 sides and 2 drinks. How many different meals are possible?
- 30th August 1983Expand and simplify (x - 3)(x - 5)(x - 2).
- 31st August 1983A block has volume 60 cm^3 and density 4 g/cm^3. Work out its mass.