Daily Practice · Higher
February 1990 5-a-day
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The batch download puts all 5 tiers' February 1990 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1990A town's population is 23000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 2nd February 1990A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
- 3rd February 19902 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th February 1990A box plot has a minimum of 17 and a maximum of 76. Work out the range.
- 5th February 1990Work out (21 x 10^6) / (7 x 10^4). Give your answer in standard form.
- 6th February 1990Expand and simplify (x + 1)(x + 3)(x + 2).
- 7th February 1990A block has volume 45 cm^3 and density 3 g/cm^3. Work out its mass.
- 8th February 1990A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 9th February 199019 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th February 1990A box plot has minimum 12, lower quartile 18, median 28, upper quartile 34 and maximum 43. Work out the interquartile range.
- 11th February 1990Write the recurring decimal 0.444... as a fraction in its simplest form.
- 12th February 1990Make x the subject of y = 5x^2 - 4.
- 13th February 1990x : y = 5 : 9. Write y in terms of x.
- 14th February 1990In triangle ABC, angle A is 51°, angle B is 41° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th February 19904 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th February 1990A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 17th February 1990Work out 8^(2/3).
- 18th February 1990Factorise x^2 - 4.
- 19th February 1990A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 20th February 1990A 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.
- 21st February 199029 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd February 1990A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 23rd February 1990Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 24th February 1990A region is defined by y <= 3x - 4. Should the boundary line be solid or dashed, and why?
- 25th February 1990y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 12.
- 26th February 1990The point (6, -3) is enlarged by scale factor -1 about the centre (2, -1). Write down the coordinates of the image.
- 27th February 19903 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th February 1990Four classes in order have frequencies 6, 4, 4, 6. Write down the cumulative frequency at the end of the third class.