Daily Practice · Higher
June 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1992 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1992Work out the equation of the line parallel to y = -x + 3 that passes through (1, 0).
- 2nd June 1992x : y = 5 : 7. Write y in terms of x.
- 3rd June 1992A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 4th June 19923 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1992A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th June 1992A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th June 1992A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
- 8th June 1992A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 9th June 1992ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 10th June 199212 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1992A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 12th June 1992Work out (16 x 10^6) / (8 x 10^3). Give your answer in standard form.
- 13th June 1992For the curve y = -4/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 14th June 1992y is inversely proportional to x. When x = 6, y = 48. Work out y when x = 12.
- 15th June 1992A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 16th June 19926 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1992Four classes in order have frequencies 7, 9, 7, 9. Write down the cumulative frequency at the end of the third class.
- 18th June 1992Write the recurring decimal 0.666... as a fraction in its simplest form.
- 19th June 1992Expand and simplify (x - 1)(x - 4)(x + 3).
- 20th June 1992y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 7.
- 21st June 1992A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd June 199222 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 199240 fish are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 24th June 1992Work out 125^(2/3).
- 25th June 1992Make x the subject of y = 6x^2 - 11.
- 26th June 1992y is directly proportional to x. When x = 2, y = 24. Work out y when x = 8.
- 27th June 1992In triangle ABC, angle A is 73°, angle B is 51° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th June 19922 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 1992A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th June 1992Write sqrt(18) in the form a sqrt(b), where b is as small as possible.