Daily Practice · Higher
June 1976 5-a-day
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The batch download puts all 5 tiers' June 1976 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1976For the curve y = 10/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 2nd June 1976A block has volume 20 cm^3 and density 3 g/cm^3. Work out its mass.
- 3rd June 1976A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 4th June 19763 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1976A box plot has minimum 1, lower quartile 7, median 12, upper quartile 15 and maximum 20. Work out the interquartile range.
- 6th June 1976A meal deal has 3 mains, 5 sides and 2 drinks. How many different meals are possible?
- 7th June 1976Expand and simplify (x - 4)(x - 5)(x + 3).
- 8th June 1976x : y = 3 : 8. Write y in terms of x.
- 9th June 1976A cone has base radius 2 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 10th June 197623 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1976A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 12th June 1976A mass is 200 kg, correct to the nearest 10. Write down the lower bound.
- 13th June 1976Make x the subject of y = 3x^2 - 12.
- 14th June 1976A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 15th June 1976In triangle ABC, angle A is 74°, angle B is 66° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th June 19765 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1976A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 18th June 1976Write 7^-3 as a fraction.
- 19th June 1976Factorise x^2 - 121.
- 20th June 1976y is inversely proportional to x. When x = 4, y = 12. Work out y when x = 6.
- 21st June 1976A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 22nd June 197622 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 1976Four classes in order have frequencies 8, 10, 10, 10. Write down the cumulative frequency at the end of the third class.
- 24th June 1976Work out (7 x 10^3) x (2 x 10^5). Give your answer in standard form.
- 25th June 1976A region is defined by y < 2x - 3. Should the boundary line be solid or dashed, and why?
- 26th June 1976y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 8.
- 27th June 1976The point (2, -3) is enlarged by scale factor -3 about the centre (3, 3). Write down the coordinates of the image.
- 28th June 19763 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 197630 beetles are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 30th June 1976Write the recurring decimal 0.6060... as a fraction in its simplest form.