Daily Practice · Higher
May 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1959Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 2nd May 1959For the curve y = 55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 3rd May 1959y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 10.
- 4th May 1959A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 5th May 19596 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 1959Four classes in order have frequencies 5, 12, 4, 5. Write down the cumulative frequency at the end of the third class.
- 7th May 1959A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 8th May 1959Expand and simplify (x + 3)(x - 4)(x - 2).
- 9th May 1959y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.
- 10th May 1959A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 11th May 19598 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 195915 beetles are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
- 13th May 1959A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th May 1959Make x the subject of y = 4x^2 - 6.
- 15th May 1959y is directly proportional to x. When x = 8, y = 32. Work out y when x = 3.
- 16th May 1959In triangle ABC, angle A is 33°, angle B is 68° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th May 19593 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1959A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th May 1959Work out (27 x 10^7) / (3 x 10^3). Give your answer in standard form.
- 20th May 1959Factorise x^2 - 36.
- 21st May 1959A town's population is 20000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 22nd May 1959A 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.
- 23rd May 195916 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1959A box plot has a minimum of 7 and a maximum of 63. Work out the range.
- 25th May 1959Write the recurring decimal 0.444... as a fraction in its simplest form.
- 26th May 1959A region is defined by y < -3x - 1. Should the boundary line be solid or dashed, and why?
- 27th May 1959A block has volume 95 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 28th May 1959The point (4, 3) is enlarged by scale factor -3 about the centre (1, -4). Write down the coordinates of the image.
- 29th May 19593 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1959A box plot has minimum 9, lower quartile 16, median 23, upper quartile 27 and maximum 32. Work out the interquartile range.
- 31st May 1959Work out 49^(3/2).