Daily Practice · Higher
September 2026 - Higher 5-a-day
Every Higher sheet published in September 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2026 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2026Factorise x^2 - 16.
- 2nd September 2026A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 3rd September 2026A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 4th September 202610 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th September 2026A box plot has minimum 12, lower quartile 22, median 32, upper quartile 40 and maximum 47. Work out the interquartile range.
- 6th September 2026A mass is 4.4 kg, correct to 1 decimal place. Write down the lower bound.
- 7th September 2026A region is defined by y <= -2x + 2. Should the boundary line be solid or dashed, and why?
- 8th September 2026x : y = 5 : 6. Write y in terms of x.
- 9th September 2026The point (-3, 3) is enlarged by scale factor -1 about the centre (0, 0). Write down the coordinates of the image.
- 10th September 20267 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th September 2026A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 12th September 2026Write 7^-2 as a fraction.
- 13th September 2026Factorise x^2 + 2x - 35.
- 14th September 2026A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th September 2026Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 243 cm^3. Work out the volume of the smaller.
- 16th September 202623 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th September 2026A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 18th September 2026Work out (2 x 10^3) x (6 x 10^2). Give your answer in standard form.
- 19th September 2026Work out the equation of the line parallel to y = 3x - 7 that passes through (3, 5).
- 20th September 2026y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 5.
- 21st September 2026A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 22nd September 20265 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd September 2026Four classes in order have frequencies 5, 7, 11, 12. Write down the cumulative frequency at the end of the third class.
- 24th September 2026Write the recurring decimal 0.8181... as a fraction in its simplest form.
- 25th September 2026A line has equation y = 5x + 6. Work out the gradient of any line perpendicular to it.
- 26th September 2026y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 7.
- 27th September 2026ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 28th September 202618 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th September 202625 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 30th September 2026A bill is £432 including VAT at 20%. Work out the amount before VAT.