Daily Practice · Higher
October 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' October 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1992In triangle ABC, angle A is 43°, angle B is 38° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd October 19922 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 1992A box plot has minimum 11, lower quartile 17, median 19, upper quartile 25 and maximum 35. Work out the interquartile range.
- 4th October 1992Write the recurring decimal 0.5454... as a fraction in its simplest form.
- 5th October 1992Factorise x^2 - 36.
- 6th October 1992x : y = 2 : 7. Write y in terms of x.
- 7th October 1992A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 8th October 199212 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 October 1992A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 10th October 1992A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 11th October 1992A region is defined by y <= 2x - 6. Should the boundary line be solid or dashed, and why?
- 12th October 1992A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 13th October 1992The point (-3, -3) is enlarged by scale factor -2 about the centre (-4, -3). Write down the coordinates of the image.
- 14th October 19922 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1992A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 16th October 1992A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th October 1992Factorise x^2 + 3x - 4.
- 18th October 1992y is inversely proportional to x. When x = 6, y = 6. Work out y when x = 2.
- 19th October 1992Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 20th October 199216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1992Four classes in order have frequencies 6, 12, 3, 9. Write down the cumulative frequency at the end of the third class.
- 22nd October 1992Work out (18 x 10^6) / (2 x 10^5). Give your answer in standard form.
- 23rd October 1992Work out the equation of the line parallel to y = 5x + 4 that passes through (6, 36).
- 24th October 1992y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 25th October 1992A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 26th October 19921 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 199255 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 28th October 1992Write the recurring decimal 0.777... as a fraction in its simplest form.
- 29th October 1992A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 30th October 1992y is directly proportional to x. When x = 7, y = 56. Work out y when x = 11.
- 31st October 1992ABCD is a cyclic quadrilateral. Angle ABC is 106°. Work out angle ADC.