Daily Practice · Higher
December 1990 5-a-day
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The batch download puts all 5 tiers' December 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1990A box plot has minimum 3, lower quartile 8, median 14, upper quartile 24 and maximum 30. Work out the interquartile range.
- 2nd December 1990Write 2^-1 as a fraction.
- 3rd December 1990Factorise x^2 - 25.
- 4th December 1990x : y = 5 : 8. Write y in terms of x.
- 5th December 1990A 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.
- 6th December 199017 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th December 1990A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 8th December 1990Work out (4 x 10^6) x (6 x 10^4). Give your answer in standard form.
- 9th December 1990A region is defined by y <= -2x - 8. Should the boundary line be solid or dashed, and why?
- 10th December 1990A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 11th December 1990The point (3, -6) is enlarged by scale factor -2 about the centre (-1, -1). Write down the coordinates of the image.
- 12th December 19903 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th December 1990A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 14th December 1990Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 15th December 1990Factorise x^2 - x - 72.
- 16th December 1990y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 10.
- 17th December 1990Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 378 cm^3. Work out the volume of the smaller.
- 18th December 199017 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th December 1990Four classes in order have frequencies 11, 8, 8, 9. Write down the cumulative frequency at the end of the third class.
- 20th December 1990A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 21st December 1990Work out the equation of the line parallel to y = -5x - 7 that passes through (4, -24).
- 22nd December 1990y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 9.
- 23rd December 1990A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 24th December 19904 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th December 199015 voles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 26th December 1990A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th December 1990A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 28th December 1990y is directly proportional to x. When x = 5, y = 10. Work out y when x = 11.
- 29th December 1990ABCD is a cyclic quadrilateral. Angle ABC is 125°. Work out angle ADC.
- 30th December 199022 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st December 1990A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?