Daily Practice · Higher
May 1987 5-a-day
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The batch download puts all 5 tiers' May 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1987A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 2nd May 19872 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 1987A box plot has a minimum of 7 and a maximum of 65. Work out the range.
- 4th May 1987Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 5th May 1987Expand and simplify (x - 3)(x - 2)(x + 3).
- 6th May 1987A block has volume 115 cm^3 and density 8 g/cm^3. Work out its mass.
- 7th May 1987A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 8th May 198715 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 1987A box plot has minimum 15, lower quartile 19, median 27, upper quartile 32 and maximum 36. Work out the interquartile range.
- 10th May 1987A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 11th May 1987Make x the subject of y = 9x^2 - 3.
- 12th May 1987x : y = 5 : 9. Write y in terms of x.
- 13th May 1987In triangle ABC, angle A is 74°, angle B is 39° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th May 19876 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1987A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 16th May 1987A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th May 1987Factorise x^2 - 36.
- 18th May 1987A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th May 1987A 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.
- 20th May 198715 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 1987A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 22nd May 1987Work out (45 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 23rd May 1987A region is defined by y < x - 8. Should the boundary line be solid or dashed, and why?
- 24th May 1987y is inversely proportional to x. When x = 8, y = 4. Work out y when x = 2.
- 25th May 1987The point (-2, 4) is enlarged by scale factor -3 about the centre (0, 4). Write down the coordinates of the image.
- 26th May 19873 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 1987Four classes in order have frequencies 3, 11, 5, 4. Write down the cumulative frequency at the end of the third class.
- 28th May 1987Write the recurring decimal 0.444... as a fraction in its simplest form.
- 29th May 1987Factorise x^2 + 8x + 12.
- 30th May 1987y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
- 31st May 1987Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.