Daily Practice · Higher
August 1978 5-a-day
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The batch download puts all 5 tiers' August 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1978Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 2nd August 1978A region is defined by y <= -4x + 5. Should the boundary line be solid or dashed, and why?
- 3rd August 1978A town's population is 35000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 4th August 1978The point (6, -2) is enlarged by scale factor -3 about the centre (2, 1). Write down the coordinates of the image.
- 5th August 19783 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th August 1978A box plot has a minimum of 6 and a maximum of 57. Work out the range.
- 7th August 1978A meal deal has 6 mains, 4 sides and 4 drinks. How many different meals are possible?
- 8th August 1978Factorise x^2 + 7x + 12.
- 9th August 1978A block has volume 110 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 10th August 1978Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 120 cm^3. Work out the volume of the smaller.
- 11th August 197829 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th August 1978A box plot has minimum 5, lower quartile 11, median 17, upper quartile 22 and maximum 30. Work out the interquartile range.
- 13th August 1978A mass is 370 kg, correct to the nearest 10. Write down the lower bound.
- 14th August 1978Work out the equation of the line parallel to y = -4x - 9 that passes through (3, -8).
- 15th August 1978x : y = 5 : 6. Write y in terms of x.
- 16th August 1978A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 17th August 19783 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th August 1978A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 19th August 1978Write 6^-1 as a fraction.
- 20th August 1978A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 21st August 1978A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd August 1978ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.
- 23rd August 197831 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th August 1978A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 25th August 1978Work out (8 x 10^4) x (2 x 10^-2). Give your answer in standard form.
- 26th August 1978For the curve y = 40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 27th August 1978y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.
- 28th August 1978A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 29th August 19785 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th August 1978Four classes in order have frequencies 8, 7, 3, 6. Write down the cumulative frequency at the end of the third class.
- 31st August 1978Write the recurring decimal 0.4848... as a fraction in its simplest form.