Daily Practice · Higher
May 1973 5-a-day
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The batch download puts all 5 tiers' May 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1973x : y = 3 : 4. Write y in terms of x.
- 2nd May 1973The point (-1, 3) is enlarged by scale factor -3 about the centre (1, -2). Write down the coordinates of the image.
- 3rd May 19731 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th May 1973A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 5th May 1973Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 6th May 1973Factorise x^2 + 4x - 45.
- 7th May 1973A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th May 1973Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 9th May 197320 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th May 1973A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 11th May 1973A meal deal has 3 mains, 4 sides and 3 drinks. How many different meals are possible?
- 12th May 1973Work out the equation of the line parallel to y = -3x + 6 that passes through (6, -6).
- 13th May 1973y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 5.
- 14th May 1973A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 15th May 19735 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th May 1973Four classes in order have frequencies 3, 5, 8, 7. Write down the cumulative frequency at the end of the third class.
- 17th May 1973A mass is 53 kg, correct to the nearest whole number. Write down the upper bound.
- 18th May 1973A line has equation y = 2x + 2. Work out the gradient of any line perpendicular to it.
- 19th May 1973y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 4.
- 20th May 1973ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 21st May 197321 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd May 197350 voles are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 23rd May 1973Write 9^-2 as a fraction.
- 24th May 1973For the curve y = -8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 25th May 1973y is directly proportional to x. When x = 6, y = 66. Work out y when x = 5.
- 26th May 1973A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 27th May 19733 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th May 1973A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th May 1973Work out (3 x 10^3) x (5 x 10^4). Give your answer in standard form.
- 30th May 1973Expand and simplify (x - 2)(x + 1)(x - 1).
- 31st May 1973A town's population is 16000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.