Daily Practice · Higher
October 1979 5-a-day
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The batch download puts all 5 tiers' October 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1979Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 2nd October 1979Factorise x^2 - 144.
- 3rd October 1979A block has volume 65 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th October 1979A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 5th October 197924 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1979A box plot has minimum 12, lower quartile 16, median 26, upper quartile 35 and maximum 41. Work out the interquartile range.
- 7th October 1979A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 8th October 1979A region is defined by y <= -3x - 8. Should the boundary line be solid or dashed, and why?
- 9th October 1979x : y = 5 : 6. Write y in terms of x.
- 10th October 1979The point (6, 2) is enlarged by scale factor -1 about the centre (-3, -3). Write down the coordinates of the image.
- 11th October 19793 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1979A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 13th October 1979A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th October 1979Factorise x^2 + 11x + 28.
- 15th October 1979A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th October 1979Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 17th October 197922 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 1979A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 19th October 1979Work out (18 x 10^10) / (3 x 10^3). Give your answer in standard form.
- 20th October 1979Work out the equation of the line parallel to y = 3x + 1 that passes through (3, 17).
- 21st October 1979y is inversely proportional to x. When x = 9, y = 8. Work out y when x = 2.
- 22nd October 1979A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 23rd October 19791 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 1979Four classes in order have frequencies 4, 12, 11, 4. Write down the cumulative frequency at the end of the third class.
- 25th October 1979Write the recurring decimal 0.777... as a fraction in its simplest form.
- 26th October 1979A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 27th October 1979y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 28th October 1979ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 29th October 197926 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 197960 fish are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 31st October 1979Work out 36^(3/2).