Daily Practice · Higher
August 1981 5-a-day
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The batch download puts all 5 tiers' August 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 19815 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd August 1981A box plot has a minimum of 19 and a maximum of 51. Work out the range.
- 3rd August 1981A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th August 1981Factorise x^2 - 81.
- 5th August 1981A block has volume 155 cm^3 and density 3 g/cm^3. Work out its mass.
- 6th August 1981A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 7th August 198130 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th August 1981A box plot has minimum 9, lower quartile 18, median 25, upper quartile 33 and maximum 35. Work out the interquartile range.
- 9th August 1981Work out (36 x 10^9) / (9 x 10^5). Give your answer in standard form.
- 10th August 1981A region is defined by y <= 3x + 5. Should the boundary line be solid or dashed, and why?
- 11th August 1981x : y = 5 : 9. Write y in terms of x.
- 12th August 1981The point (-6, -5) is enlarged by scale factor -1 about the centre (-4, 4). Write down the coordinates of the image.
- 13th August 19814 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th August 1981A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 15th August 1981Write the recurring decimal 0.444... as a fraction in its simplest form.
- 16th August 1981Factorise x^2 - 8x + 15.
- 17th August 1981A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 18th August 1981Two 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.
- 19th August 198116 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th August 1981A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 21st August 1981Work out 216^(2/3).
- 22nd August 1981Work out the equation of the line parallel to y = -x - 2 that passes through (6, -2).
- 23rd August 1981y is inversely proportional to x. When x = 8, y = 24. Work out y when x = 12.
- 24th August 1981A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 25th August 19817 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th August 1981Four classes in order have frequencies 7, 3, 11, 9. Write down the cumulative frequency at the end of the third class.
- 27th August 1981Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 28th August 1981A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 29th August 1981y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
- 30th August 1981ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 31st August 198122 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.