Daily Practice · Higher
August 1986 5-a-day
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The batch download puts all 5 tiers' August 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1986Write 2^-2 as a fraction.
- 2nd August 1986Factorise x^2 - 64.
- 3rd August 1986y is inversely proportional to x. When x = 2, y = 25. Work out y when x = 5.
- 4th August 1986A 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.
- 5th August 198619 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th August 1986Four classes in order have frequencies 11, 5, 3, 7. Write down the cumulative frequency at the end of the third class.
- 7th August 1986Work out (9 x 10^8) x (8 x 10^-5). Give your answer in standard form.
- 8th August 1986A region is defined by y <= 2x - 8. Should the boundary line be solid or dashed, and why?
- 9th August 1986y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 10th August 1986The point (5, 1) is enlarged by scale factor -1 about the centre (3, 4). Write down the coordinates of the image.
- 11th August 19863 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th August 198625 fish are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 13th August 1986Write the recurring decimal 0.9292... as a fraction in its simplest form.
- 14th August 1986Factorise x^2 - 64.
- 15th August 1986y is directly proportional to x. When x = 8, y = 32. Work out y when x = 14.
- 16th August 1986Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 675 cm^3. Work out the volume of the smaller.
- 17th August 198619 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th August 1986A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th August 1986A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 20th August 1986Work out the equation of the line parallel to y = -2x + 4 that passes through (6, -14).
- 21st August 1986A town's population is 7000 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd August 1986A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 23rd August 19862 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th August 1986A box plot has a minimum of 14 and a maximum of 38. Work out the range.
- 25th August 1986A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th August 1986A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 27th August 1986A block has volume 35 cm^3 and density 3 g/cm^3. Work out its mass.
- 28th August 1986ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.
- 29th August 198616 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th August 1986A box plot has minimum 14, lower quartile 23, median 26, upper quartile 31 and maximum 38. Work out the interquartile range.
- 31st August 1986Work out (25 x 10^11) / (5 x 10^3). Give your answer in standard form.