Daily Practice · Higher
March 2026 - Higher 5-a-day
Every Higher sheet published in March 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2026The point (5, -5) is enlarged by scale factor -1 about the centre (4, -4). Write down the coordinates of the image.
- 2nd March 20261 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd March 202645 fish are marked and released. Later 49 are caught, of which 7 are marked. Estimate the population.
- 4th March 2026Work out (5 x 10^4) x (3 x 10^4). Give your answer in standard form.
- 5th March 2026Factorise x^2 - 4x - 12.
- 6th March 2026y is directly proportional to x. When x = 5, y = 10. Work out y when x = 15.
- 7th March 2026Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
- 8th March 202612 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th March 2026A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th March 2026Write the recurring decimal 0.5959... as a fraction in its simplest form.
- 11th March 2026Work out the equation of the line parallel to y = x - 7 that passes through (6, 17).
- 12th March 2026A town's population is 25000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 13th March 2026A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 14th March 20265 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th March 2026A box plot has a minimum of 6 and a maximum of 30. Work out the range.
- 16th March 2026A bill is £432 including VAT at 20%. Work out the amount before VAT.
- 17th March 2026A line has equation y = 5x + 6. Work out the gradient of any line perpendicular to it.
- 18th March 2026A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 19th March 2026ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 20th March 202613 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st March 2026A box plot has minimum 11, lower quartile 14, median 16, upper quartile 18 and maximum 21. Work out the interquartile range.
- 22nd March 2026A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd March 2026For the curve y = -30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 24th March 2026x : y = 4 : 7. Write y in terms of x.
- 25th March 2026A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 26th March 20261 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th March 2026A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 28th March 2026Work out (56 x 10^7) / (8 x 10^3). Give your answer in standard form.
- 29th March 2026Expand and simplify (x + 4)(x - 1)(x - 4).
- 30th March 2026A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 31st March 2026A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.