Daily Practice · Higher
November 1958 5-a-day
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The batch download puts all 5 tiers' November 1958 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1958A box plot has minimum 11, lower quartile 19, median 29, upper quartile 31 and maximum 36. Work out the interquartile range.
- 2nd November 1958Work out (16 x 10^9) / (8 x 10^3). Give your answer in standard form.
- 3rd November 1958Make x the subject of y = 4x^2 - 6.
- 4th November 1958x : y = 5 : 8. Write y in terms of x.
- 5th November 1958In triangle ABC, angle A is 58°, angle B is 88° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th November 19584 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th November 1958A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 8th November 1958Write the recurring decimal 0.666... as a fraction in its simplest form.
- 9th November 1958Factorise x^2 - 81.
- 10th November 1958A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 11th November 1958A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 12th November 195812 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th November 1958A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 14th November 1958Work out 27^(2/3).
- 15th November 1958A region is defined by y < 2x + 4. Should the boundary line be solid or dashed, and why?
- 16th November 1958y is inversely proportional to x. When x = 5, y = 60. Work out y when x = 12.
- 17th November 1958The point (0, 6) is enlarged by scale factor -3 about the centre (0, -1). Write down the coordinates of the image.
- 18th November 19582 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th November 1958Four classes in order have frequencies 10, 12, 11, 12. Write down the cumulative frequency at the end of the third class.
- 20th November 1958Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 21st November 1958Factorise x^2 + 7x + 10.
- 22nd November 1958y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 8.
- 23rd November 1958Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 640 cm^3. Work out the volume of the smaller.
- 24th November 195820 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th November 195850 beetles are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 26th November 1958A meal deal has 3 mains, 5 sides and 4 drinks. How many different meals are possible?
- 27th November 1958Work out the equation of the line parallel to y = 3x - 3 that passes through (2, 15).
- 28th November 1958y is directly proportional to x. When x = 7, y = 28. Work out y when x = 15.
- 29th November 1958A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 30th November 19582 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.