Daily Practice · Higher
November 1991 - Higher 5-a-day
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The batch download puts all 5 tiers' November 1991 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19914 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 1991A box plot has minimum 3, lower quartile 13, median 17, upper quartile 19 and maximum 23. Work out the interquartile range.
- 3rd November 1991Work out (5 x 10^5) x (6 x 10^-6). Give your answer in standard form.
- 4th November 1991Factorise x^2 - 36.
- 5th November 1991x : y = 5 : 9. Write y in terms of x.
- 6th November 1991A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 7th November 199117 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 1991A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 9th November 1991Write the recurring decimal 0.6161... as a fraction in its simplest form.
- 10th November 1991A region is defined by y < 4x - 8. Should the boundary line be solid or dashed, and why?
- 11th November 1991A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th November 1991The point (5, -6) is enlarged by scale factor -3 about the centre (4, 1). Write down the coordinates of the image.
- 13th November 19912 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 1991A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 15th November 1991A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 16th November 1991Factorise x^2 + 5x + 4.
- 17th November 1991y is inversely proportional to x. When x = 5, y = 36. Work out y when x = 6.
- 18th November 1991Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 189 cm^3. Work out the volume of the smaller.
- 19th November 199122 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 1991Four classes in order have frequencies 7, 12, 3, 9. Write down the cumulative frequency at the end of the third class.
- 21st November 1991A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd November 1991Work out the equation of the line parallel to y = -x - 8 that passes through (5, 1).
- 23rd November 1991y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 5.
- 24th November 1991A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 25th November 19915 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 199160 newts are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
- 27th November 1991Work out (21 x 10^8) / (3 x 10^2). Give your answer in standard form.
- 28th November 1991A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 29th November 1991y is directly proportional to x. When x = 2, y = 22. Work out y when x = 4.
- 30th November 1991ABCD is a cyclic quadrilateral. Angle ABC is 117°. Work out angle ADC.