Daily Practice · Higher
May 2026 - Higher 5-a-day
Every Higher sheet published in May 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' May 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 20263 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd May 2026A box plot has minimum 14, lower quartile 20, median 26, upper quartile 35 and maximum 40. Work out the interquartile range.
- 3rd May 2026Write 5^-3 as a fraction.
- 4th May 2026A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 5th May 2026x : y = 5 : 8. Write y in terms of x.
- 6th May 2026ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 7th May 202625 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th May 2026A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 9th May 2026Work out (8 x 10^8) x (8 x 10^3). Give your answer in standard form.
- 10th May 2026For the curve y = -9/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 11th May 2026A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 12th May 2026A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 13th May 20265 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th May 2026A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 15th May 2026Write the recurring decimal 0.1616... as a fraction in its simplest form.
- 16th May 2026Expand and simplify (x + 5)(x - 3)(x + 2).
- 17th May 2026y is inversely proportional to x. When x = 4, y = 24. Work out y when x = 6.
- 18th May 2026A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 19th May 202618 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th May 2026Four classes in order have frequencies 5, 10, 6, 9. Write down the cumulative frequency at the end of the third class.
- 21st May 2026A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 22nd May 2026Make x the subject of y = 2x^2 - 11.
- 23rd May 2026y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 24th May 2026In triangle ABC, angle A is 50°, angle B is 71° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th May 20266 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th May 202610 voles are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 27th May 2026A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th May 2026Factorise x^2 - 25.
- 29th May 2026y is directly proportional to x. When x = 5, y = 20. Work out y when x = 11.
- 30th May 2026A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 31st May 202614 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.