Daily Practice · Higher
October 1987 5-a-day
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The batch download puts all 5 tiers' October 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1987Work out (56 x 10^8) / (8 x 10^4). Give your answer in standard form.
- 2nd October 1987Make x the subject of y = 3x^2 - 2.
- 3rd October 1987y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 8.
- 4th October 1987In triangle ABC, angle A is 71°, angle B is 34° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th October 19875 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th October 198735 voles are marked and released. Later 24 are caught, of which 4 are marked. Estimate the population.
- 7th October 1987Write the recurring decimal 0.444... as a fraction in its simplest form.
- 8th October 1987Factorise x^2 - 49.
- 9th October 1987y is directly proportional to x. When x = 4, y = 20. Work out y when x = 12.
- 10th October 1987A 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.
- 11th October 198726 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th October 1987A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th October 1987Work out 216^(2/3).
- 14th October 1987A region is defined by y <= -3x + 6. Should the boundary line be solid or dashed, and why?
- 15th October 1987A town's population is 13000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 16th October 1987The point (-3, 2) is enlarged by scale factor -1 about the centre (1, 3). Write down the coordinates of the image.
- 17th October 19872 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th October 1987A box plot has a minimum of 14 and a maximum of 73. Work out the range.
- 19th October 1987Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 20th October 1987Factorise x^2 - 7x - 18.
- 21st October 1987A block has volume 200 cm^3 and density 3 g/cm^3. Work out its mass.
- 22nd October 1987Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 64 cm^3. Work out the volume of the smaller.
- 23rd October 198718 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th October 1987A box plot has minimum 3, lower quartile 7, median 14, upper quartile 24 and maximum 28. Work out the interquartile range.
- 25th October 1987A meal deal has 3 mains, 6 sides and 5 drinks. How many different meals are possible?
- 26th October 1987Work out the equation of the line parallel to y = 2x - 9 that passes through (1, 9).
- 27th October 1987x : y = 4 : 7. Write y in terms of x.
- 28th October 1987A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 29th October 19873 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th October 1987A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 31st October 1987A mass is 18 kg, correct to the nearest whole number. Write down the upper bound.