Daily Practice · Higher
February 1991 5-a-day
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The batch download puts all 5 tiers' February 1991 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1991Factorise x^2 - 4x - 21.
- 2nd February 1991y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 6.
- 3rd February 1991Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 232 cm^3. Work out the volume of the smaller.
- 4th February 199127 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th February 199125 newts are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 6th February 1991Write 7^-1 as a fraction.
- 7th February 1991Work out the equation of the line parallel to y = -4x - 6 that passes through (5, -26).
- 8th February 1991y is directly proportional to x. When x = 4, y = 40. Work out y when x = 12.
- 9th February 1991A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 10th February 19912 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th February 1991A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th February 1991Work out (7 x 10^3) x (3 x 10^-3). Give your answer in standard form.
- 13th February 1991A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 14th February 1991A town's population is 23500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 15th February 1991ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 16th February 199116 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th February 1991A box plot has a minimum of 6 and a maximum of 58. Work out the range.
- 18th February 1991Write the recurring decimal 0.6969... as a fraction in its simplest form.
- 19th February 1991For the curve y = 10/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 20th February 1991A block has volume 40 cm^3 and density 8 g/cm^3. Work out its mass.
- 21st February 1991A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 22nd February 19913 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd February 1991A box plot has minimum 2, lower quartile 7, median 17, upper quartile 21 and maximum 29. Work out the interquartile range.
- 24th February 1991A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 25th February 1991Expand and simplify (x + 3)(x + 3)(x - 5).
- 26th February 1991x : y = 2 : 5. Write y in terms of x.
- 27th February 1991A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 28th February 199118 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.