Daily Practice · Higher
June 1982 5-a-day
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The batch download puts all 5 tiers' June 1982 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1982x : y = 4 : 7. Write y in terms of x.
- 2nd June 1982Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 3rd June 198220 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th June 1982A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 5th June 1982Write 3^-3 as a fraction.
- 6th June 1982Work out the equation of the line parallel to y = 3x - 1 that passes through (3, 8).
- 7th June 1982A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 8th June 1982A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 9th June 19825 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th June 1982A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 11th June 1982Work out (4 x 10^6) x (2 x 10^2). Give your answer in standard form.
- 12th June 1982A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 13th June 1982y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 4.
- 14th June 1982ABCD is a cyclic quadrilateral. Angle ABC is 61°. Work out angle ADC.
- 15th June 198223 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th June 1982Four classes in order have frequencies 10, 11, 3, 3. Write down the cumulative frequency at the end of the third class.
- 17th June 1982Write the recurring decimal 0.2828... as a fraction in its simplest form.
- 18th June 1982For the curve y = 15/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 19th June 1982y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 8.
- 20th June 1982A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 21st June 19822 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd June 198230 beetles are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 23rd June 1982A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 24th June 1982Expand and simplify (x + 2)(x - 3)(x - 2).
- 25th June 1982y is directly proportional to x. When x = 3, y = 30. Work out y when x = 6.
- 26th June 1982A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 27th June 198220 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th June 1982A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th June 1982A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th June 1982Make x the subject of y = 5x^2 - 7.