Daily Practice · Higher
September 1985 5-a-day
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The batch download puts all 5 tiers' September 1985 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1985y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 6.
- 2nd September 1985A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 3rd September 198527 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th September 1985Four classes in order have frequencies 9, 8, 6, 8. Write down the cumulative frequency at the end of the third class.
- 5th September 1985Write 9^-2 as a fraction.
- 6th September 1985A region is defined by y <= x - 5. Should the boundary line be solid or dashed, and why?
- 7th September 1985y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 3.
- 8th September 1985The point (4, 5) is enlarged by scale factor -1 about the centre (-1, 1). Write down the coordinates of the image.
- 9th September 19851 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th September 198555 fish are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.
- 11th September 1985Work out (7 x 10^7) x (3 x 10^-3). Give your answer in standard form.
- 12th September 1985Factorise x^2 + 10x + 25.
- 13th September 1985y is directly proportional to x. When x = 2, y = 24. Work out y when x = 8.
- 14th September 1985Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 80 cm^3. Work out the volume of the smaller.
- 15th September 198518 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th September 1985A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th September 1985Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 18th September 1985Work out the equation of the line parallel to y = 5x - 7 that passes through (4, 8).
- 19th September 1985A town's population is 18000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 20th September 1985A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 21st September 19855 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd September 1985A box plot has a minimum of 14 and a maximum of 29. Work out the range.
- 23rd September 1985A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 24th September 1985A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 25th September 1985A block has volume 120 cm^3 and density 11 g/cm^3. Work out its mass.
- 26th September 1985ABCD is a cyclic quadrilateral. Angle ABC is 53°. Work out angle ADC.
- 27th September 198518 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th September 1985A box plot has minimum 9, lower quartile 15, median 17, upper quartile 20 and maximum 23. Work out the interquartile range.
- 29th September 1985A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th September 1985For the curve y = 35/x, work out y when x = 5, and write down the equation of its vertical asymptote.