Daily Practice · Higher
September 1980 5-a-day
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The batch download puts all 5 tiers' September 1980 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1980A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 2nd September 1980Factorise x^2 - 4.
- 3rd September 1980A block has volume 15 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 4th September 1980A 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.
- 5th September 198018 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 1980A box plot has minimum 7, lower quartile 14, median 22, upper quartile 27 and maximum 32. Work out the interquartile range.
- 7th September 1980A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th September 1980A region is defined by y < -3x - 7. Should the boundary line be solid or dashed, and why?
- 9th September 1980x : y = 3 : 4. Write y in terms of x.
- 10th September 1980The point (4, -4) is enlarged by scale factor -2 about the centre (1, 0). Write down the coordinates of the image.
- 11th September 19802 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1980A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 13th September 1980Work out (40 x 10^8) / (8 x 10^2). Give your answer in standard form.
- 14th September 1980Factorise x^2 - x - 72.
- 15th September 1980A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 16th September 1980Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 108 cm^3. Work out the volume of the smaller.
- 17th September 198013 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1980A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 19th September 1980Write the recurring decimal 0.777... as a fraction in its simplest form.
- 20th September 1980Work out the equation of the line parallel to y = 2x + 8 that passes through (3, -2).
- 21st September 1980y is inversely proportional to x. When x = 5, y = 9. Work out y when x = 3.
- 22nd September 1980A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 23rd September 19803 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 1980Four classes in order have frequencies 5, 7, 7, 4. Write down the cumulative frequency at the end of the third class.
- 25th September 1980Work out 36^(3/2).
- 26th September 1980A line has equation y = -2x + 6. Work out the gradient of any line perpendicular to it.
- 27th September 1980y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 9.
- 28th September 1980ABCD is a cyclic quadrilateral. Angle ABC is 101°. Work out angle ADC.
- 29th September 198016 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 198050 fish are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.