Daily Practice · Higher
May 1955 5-a-day
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The batch download puts all 5 tiers' May 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1955The point (5, 0) is enlarged by scale factor -2 about the centre (1, -3). Write down the coordinates of the image.
- 2nd May 19551 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 195510 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 4th May 1955Work out (7 x 10^6) x (6 x 10^6). Give your answer in standard form.
- 5th May 1955Factorise x^2 + 4x - 45.
- 6th May 1955y is directly proportional to x. When x = 6, y = 36. Work out y when x = 15.
- 7th May 1955Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 8th May 195526 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 1955A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th May 1955Write the recurring decimal 0.2222... as a fraction in its simplest form.
- 11th May 1955Work out the equation of the line parallel to y = 2x - 3 that passes through (6, 22).
- 12th May 1955A town's population is 24500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 13th May 1955A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 14th May 19554 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 1955A box plot has a minimum of 13 and a maximum of 57. Work out the range.
- 16th May 1955A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 17th May 1955A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 18th May 1955A block has volume 170 cm^3 and density 8 g/cm^3. Work out its mass.
- 19th May 1955ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 20th May 195524 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 1955A box plot has minimum 2, lower quartile 4, median 14, upper quartile 24 and maximum 28. Work out the interquartile range.
- 22nd May 1955A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd May 1955For the curve y = -36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 24th May 1955x : y = 3 : 4. Write y in terms of x.
- 25th May 1955A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 26th May 19551 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 1955A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 28th May 1955Work out (45 x 10^12) / (9 x 10^4). Give your answer in standard form.
- 29th May 1955Expand and simplify (x - 1)(x - 2)(x + 2).
- 30th May 1955A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 31st May 1955A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.