Daily Practice · Higher
October 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1984A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 2nd October 198414 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1984Four classes in order have frequencies 6, 8, 3, 4. Write down the cumulative frequency at the end of the third class.
- 4th October 1984A mass is 5 kg, correct to the nearest whole number. Write down the lower bound.
- 5th October 1984A region is defined by y <= -3x + 3. Should the boundary line be solid or dashed, and why?
- 6th October 1984y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 4.
- 7th October 1984The point (1, -1) is enlarged by scale factor -3 about the centre (-1, -3). Write down the coordinates of the image.
- 8th October 19842 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 198425 beetles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 10th October 1984Write 5^-1 as a fraction.
- 11th October 1984Factorise x^2 + 8x + 12.
- 12th October 1984y is directly proportional to x. When x = 7, y = 70. Work out y when x = 15.
- 13th October 1984Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 24 cm^3. Work out the volume of the smaller.
- 14th October 198414 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 1984A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th October 1984Work out (2 x 10^3) x (6 x 10^6). Give your answer in standard form.
- 17th October 1984Work out the equation of the line parallel to y = 2x + 5 that passes through (4, -2).
- 18th October 1984A town's population is 6000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 19th October 1984A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 20th October 19844 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 1984A box plot has a minimum of 11 and a maximum of 53. Work out the range.
- 22nd October 1984Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 23rd October 1984A line has equation y = 5x + 6. Work out the gradient of any line perpendicular to it.
- 24th October 1984A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 25th October 1984ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 26th October 198428 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 1984A box plot has minimum 8, lower quartile 18, median 26, upper quartile 34 and maximum 43. Work out the interquartile range.
- 28th October 1984A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 29th October 1984For the curve y = 15/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 30th October 1984x : y = 5 : 7. Write y in terms of x.
- 31st October 1984A, B and C are points on a circle with centre O. Angle AOC is 166°. Work out angle ABC, where B is on the major arc.