Daily Practice · Higher
November 1955 5-a-day
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The batch download puts all 5 tiers' November 1955 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1955Factorise x^2 - 49.
- 2nd November 1955A block has volume 155 cm^3 and density 4 g/cm^3. Work out its mass.
- 3rd November 1955A 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.
- 4th November 195521 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 1955A box plot has minimum 5, lower quartile 7, median 15, upper quartile 20 and maximum 27. Work out the interquartile range.
- 6th November 1955A mass is 13.2 kg, correct to 1 decimal place. Write down the lower bound.
- 7th November 1955A region is defined by y < -2x - 6. Should the boundary line be solid or dashed, and why?
- 8th November 1955x : y = 4 : 7. Write y in terms of x.
- 9th November 1955The point (2, -2) is enlarged by scale factor -1 about the centre (0, -2). Write down the coordinates of the image.
- 10th November 19552 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 1955A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 12th November 1955Write 5^-2 as a fraction.
- 13th November 1955Factorise x^2 + 3x - 10.
- 14th November 1955A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th November 1955Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 248 cm^3. Work out the volume of the smaller.
- 16th November 19558 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 1955A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 18th November 1955Work out (7 x 10^3) x (9 x 10^2). Give your answer in standard form.
- 19th November 1955Work out the equation of the line parallel to y = -5x - 2 that passes through (3, -3).
- 20th November 1955y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 12.
- 21st November 1955A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 22nd November 19551 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 1955Four classes in order have frequencies 5, 6, 4, 5. Write down the cumulative frequency at the end of the third class.
- 24th November 1955Write the recurring decimal 0.8080... as a fraction in its simplest form.
- 25th November 1955A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 26th November 1955y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 5.
- 27th November 1955ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 28th November 195522 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 195545 voles are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 30th November 1955A bill is £456 including VAT at 20%. Work out the amount before VAT.