Daily Practice · Higher
June 1986 5-a-day
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The batch download puts all 5 tiers' June 1986 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1986A box plot has a minimum of 15 and a maximum of 70. Work out the range.
- 2nd June 1986Work out (7 x 10^4) x (3 x 10^5). Give your answer in standard form.
- 3rd June 1986Expand and simplify (x - 1)(x - 5)(x - 1).
- 4th June 1986A block has volume 160 cm^3 and density 11 g/cm^3. Work out its mass.
- 5th June 1986A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 6th June 198625 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th June 1986A box plot has minimum 1, lower quartile 3, median 7, upper quartile 14 and maximum 23. Work out the interquartile range.
- 8th June 1986Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 9th June 1986Make x the subject of y = 2x^2 - 8.
- 10th June 1986x : y = 3 : 8. Write y in terms of x.
- 11th June 1986In triangle ABC, angle A is 70°, angle B is 75° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th June 19862 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th June 1986A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 14th June 1986A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 15th June 1986Factorise x^2 - 25.
- 16th June 1986A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th June 1986A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 18th June 198613 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th June 1986A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 20th June 1986A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st June 1986A region is defined by y <= -5x - 3. Should the boundary line be solid or dashed, and why?
- 22nd June 1986y is inversely proportional to x. When x = 2, y = 15. Work out y when x = 5.
- 23rd June 1986The point (3, 3) is enlarged by scale factor -3 about the centre (4, 1). Write down the coordinates of the image.
- 24th June 19865 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th June 1986Four classes in order have frequencies 8, 10, 3, 4. Write down the cumulative frequency at the end of the third class.
- 26th June 1986Work out (12 x 10^8) / (4 x 10^5). Give your answer in standard form.
- 27th June 1986Factorise x^2 - 10x + 9.
- 28th June 1986y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 6.
- 29th June 1986Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 640 cm^3. Work out the volume of the smaller.
- 30th June 198627 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.