Daily Practice · Higher
June 1981 5-a-day
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The batch download puts all 5 tiers' June 1981 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1981A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
- 2nd June 19814 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd June 1981Four classes in order have frequencies 9, 8, 8, 4. Write down the cumulative frequency at the end of the third class.
- 4th June 1981Work out (72 x 10^7) / (8 x 10^4). Give your answer in standard form.
- 5th June 1981Expand and simplify (x - 4)(x + 4)(x - 2).
- 6th June 1981y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 4.
- 7th June 1981A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 8th June 198127 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th June 198130 voles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 10th June 1981Write the recurring decimal 0.111... as a fraction in its simplest form.
- 11th June 1981Make x the subject of y = 7x^2 - 5.
- 12th June 1981y is directly proportional to x. When x = 5, y = 60. Work out y when x = 15.
- 13th June 1981In triangle ABC, angle A is 51°, angle B is 72° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th June 19811 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th June 1981A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th June 1981Work out 36^(3/2).
- 17th June 1981Factorise x^2 - 64.
- 18th June 1981A town's population is 34500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 19th June 1981A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 20th June 198110 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st June 1981A box plot has a minimum of 13 and a maximum of 29. Work out the range.
- 22nd June 1981Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 23rd June 1981A region is defined by y <= -2x + 8. Should the boundary line be solid or dashed, and why?
- 24th June 1981A block has volume 75 cm^3 and density 3 g/cm^3. Work out its mass.
- 25th June 1981The point (1, 6) is enlarged by scale factor -3 about the centre (0, -2). Write down the coordinates of the image.
- 26th June 19815 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th June 1981A box plot has minimum 8, lower quartile 11, median 20, upper quartile 23 and maximum 30. Work out the interquartile range.
- 28th June 1981A meal deal has 9 mains, 9 sides and 4 drinks. How many different meals are possible?
- 29th June 1981Factorise x^2 + 13x + 42.
- 30th June 1981x : y = 4 : 7. Write y in terms of x.