Daily Practice · Higher
October 1990 5-a-day
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The batch download puts all 5 tiers' October 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 19903 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd October 199055 newts are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 3rd October 1990Work out (5 x 10^3) x (9 x 10^-6). Give your answer in standard form.
- 4th October 1990Expand and simplify (x + 1)(x + 3)(x + 5).
- 5th October 1990y is directly proportional to x. When x = 7, y = 63. Work out y when x = 3.
- 6th October 1990A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 7th October 199015 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th October 1990A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th October 1990Write the recurring decimal 0.4343... as a fraction in its simplest form.
- 10th October 1990Make x the subject of y = 3x^2 - 12.
- 11th October 1990A town's population is 23000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 12th October 1990In triangle ABC, angle A is 42°, angle B is 89° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th October 19907 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th October 1990A box plot has a minimum of 17 and a maximum of 67. Work out the range.
- 15th October 1990A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 16th October 1990Factorise x^2 - 16.
- 17th October 1990A block has volume 25 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 18th October 1990A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 19th October 199018 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th October 1990A box plot has minimum 12, lower quartile 17, median 26, upper quartile 32 and maximum 41. Work out the interquartile range.
- 21st October 1990A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd October 1990A region is defined by y <= 4x - 8. Should the boundary line be solid or dashed, and why?
- 23rd October 1990x : y = 2 : 9. Write y in terms of x.
- 24th October 1990The point (2, -4) is enlarged by scale factor -1 about the centre (-3, -4). Write down the coordinates of the image.
- 25th October 19901 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th October 1990A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 27th October 1990Work out (27 x 10^12) / (9 x 10^3). Give your answer in standard form.
- 28th October 1990Factorise x^2 - 15x + 54.
- 29th October 1990A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th October 1990Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 96 cm^3. Work out the volume of the smaller.
- 31st October 199016 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.