Daily Practice · Higher
February 1973 5-a-day
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The batch download puts all 5 tiers' February 1973 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1973Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 2nd February 197314 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1973A box plot has minimum 10, lower quartile 17, median 27, upper quartile 31 and maximum 39. Work out the interquartile range.
- 4th February 1973A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th February 1973Work out the equation of the line parallel to y = 5x + 1 that passes through (2, 11).
- 6th February 1973x : y = 4 : 5. Write y in terms of x.
- 7th February 1973A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 8th February 19731 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1973A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 10th February 1973Work out (15 x 10^10) / (5 x 10^3). Give your answer in standard form.
- 11th February 1973A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 12th February 1973A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 13th February 1973ABCD is a cyclic quadrilateral. Angle ABC is 60°. Work out angle ADC.
- 14th February 197323 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 February 1973A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 16th February 1973Write the recurring decimal 0.555... as a fraction in its simplest form.
- 17th February 1973For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 18th February 1973y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 6.
- 19th February 1973A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 20th February 19737 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 1973Four classes in order have frequencies 11, 3, 8, 10. Write down the cumulative frequency at the end of the third class.
- 22nd February 1973Work out 216^(2/3).
- 23rd February 1973Expand and simplify (x + 2)(x + 1)(x + 5).
- 24th February 1973y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 7.
- 25th February 1973A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 26th February 197318 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 February 197330 beetles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 28th February 1973Write sqrt(50) in the form a sqrt(b), where b is as small as possible.