Daily Practice · Higher
June 1979 5-a-day
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The batch download puts all 5 tiers' June 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19792 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1979A box plot has minimum 4, lower quartile 6, median 8, upper quartile 18 and maximum 25. Work out the interquartile range.
- 3rd June 1979A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th June 1979A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 5th June 1979x : y = 5 : 7. Write y in terms of x.
- 6th June 1979ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 7th June 197928 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 1979A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 9th June 1979Work out (20 x 10^8) / (5 x 10^4). Give your answer in standard form.
- 10th June 1979For the curve y = 40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 11th June 1979A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th June 1979A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 13th June 19791 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 1979A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 15th June 1979Write the recurring decimal 0.444... as a fraction in its simplest form.
- 16th June 1979Expand and simplify (x - 3)(x - 5)(x - 1).
- 17th June 1979y is inversely proportional to x. When x = 4, y = 60. Work out y when x = 10.
- 18th June 1979A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 19th June 197922 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 1979Four classes in order have frequencies 12, 4, 12, 3. Write down the cumulative frequency at the end of the third class.
- 21st June 1979Work out 64^(2/3).
- 22nd June 1979Make x the subject of y = 2x^2 - 5.
- 23rd June 1979y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 5.
- 24th June 1979In triangle ABC, angle A is 57°, angle B is 91° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th June 19794 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 197935 voles are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.
- 27th June 1979Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 28th June 1979Factorise x^2 - 64.
- 29th June 1979y is directly proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 30th June 1979A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.