Daily Practice · Higher
February 1981 5-a-day
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The batch download puts all 5 tiers' February 1981 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1981The point (2, 0) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 2nd February 19811 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 198130 beetles are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 4th February 1981Work out 216^(2/3).
- 5th February 1981Factorise x^2 + 5x - 36.
- 6th February 1981y is directly proportional to x. When x = 5, y = 50. Work out y when x = 10.
- 7th February 1981Two 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.
- 8th February 198121 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 1981A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th February 1981Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 11th February 1981Work out the equation of the line parallel to y = -3x - 3 that passes through (1, 9).
- 12th February 1981A town's population is 24000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 13th February 1981A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 14th February 19813 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 1981A box plot has a minimum of 18 and a maximum of 36. Work out the range.
- 16th February 1981A meal deal has 5 mains, 8 sides and 6 drinks. How many different meals are possible?
- 17th February 1981A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 18th February 1981A block has volume 15 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 19th February 1981ABCD is a cyclic quadrilateral. Angle ABC is 69°. Work out angle ADC.
- 20th February 198127 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 1981A box plot has minimum 5, lower quartile 7, median 11, upper quartile 14 and maximum 18. Work out the interquartile range.
- 22nd February 1981A mass is 22 kg, correct to the nearest whole number. Write down the lower bound.
- 23rd February 1981For the curve y = 10/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 24th February 1981x : y = 2 : 5. Write y in terms of x.
- 25th February 1981A, B and C are points on a circle with centre O. Angle AOC is 158°. Work out angle ABC, where B is on the major arc.
- 26th February 19811 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1981A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 28th February 1981Write 5^-1 as a fraction.