Daily Practice · Higher
May 1970 5-a-day
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The batch download puts all 5 tiers' May 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 197019 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd May 1970A box plot has minimum 7, lower quartile 13, median 22, upper quartile 24 and maximum 26. Work out the interquartile range.
- 3rd May 1970Work out (8 x 10^6) x (8 x 10^4). Give your answer in standard form.
- 4th May 1970Work out the equation of the line parallel to y = 5x - 5 that passes through (1, 13).
- 5th May 1970x : y = 5 : 7. Write y in terms of x.
- 6th May 1970A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 7th May 19705 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th May 1970A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th May 1970Write the recurring decimal 0.2121... as a fraction in its simplest form.
- 10th May 1970A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 11th May 1970A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th May 1970ABCD is a cyclic quadrilateral. Angle ABC is 100°. Work out angle ADC.
- 13th May 197030 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th May 1970A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 15th May 1970A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 16th May 1970For the curve y = 5/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 17th May 1970y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 5.
- 18th May 1970A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 19th May 19703 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th May 1970Four classes in order have frequencies 5, 7, 3, 8. Write down the cumulative frequency at the end of the third class.
- 21st May 1970A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd May 1970Expand and simplify (x - 1)(x - 3)(x - 4).
- 23rd May 1970y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 4.
- 24th May 1970A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 25th May 197026 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th May 197020 fish are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 27th May 1970Work out (48 x 10^6) / (6 x 10^4). Give your answer in standard form.
- 28th May 1970Make x the subject of y = 8x^2 - 11.
- 29th May 1970y is directly proportional to x. When x = 4, y = 32. Work out y when x = 3.
- 30th May 1970In triangle ABC, angle A is 55°, angle B is 48° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st May 19704 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.