Daily Practice · Higher
June 2026 - Higher 5-a-day
Every Higher sheet published in June 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2026 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2026A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd June 2026Work out (64 x 10^12) / (8 x 10^3). Give your answer in standard form.
- 3rd June 2026A region is defined by y < -5x + 9. Should the boundary line be solid or dashed, and why?
- 4th June 2026A town's population is 20500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 5th June 2026The point (5, 3) is enlarged by scale factor -2 about the centre (2, 3). Write down the coordinates of the image.
- 6th June 20263 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th June 2026A box plot has a minimum of 15 and a maximum of 46. Work out the range.
- 8th June 2026Write the recurring decimal 0.555... as a fraction in its simplest form.
- 9th June 2026Factorise x^2 - 5x - 6.
- 10th June 2026A block has volume 90 cm^3 and density 8 g/cm^3. Work out its mass.
- 11th June 2026Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 12th June 202617 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th June 2026A box plot has minimum 1, lower quartile 11, median 20, upper quartile 26 and maximum 34. Work out the interquartile range.
- 14th June 2026Work out 25^(3/2).
- 15th June 2026Work out the equation of the line parallel to y = x - 1 that passes through (3, 13).
- 16th June 2026x : y = 4 : 5. Write y in terms of x.
- 17th June 2026A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 18th June 20264 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th June 2026A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 20th June 2026Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 21st June 2026A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 22nd June 2026A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 23rd June 2026ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 24th June 202629 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th June 2026A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 26th June 2026A meal deal has 5 mains, 8 sides and 3 drinks. How many different meals are possible?
- 27th June 2026For the curve y = 12/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 28th June 2026y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.
- 29th June 2026A, B and C are points on a circle with centre O. Angle AOC is 160°. Work out angle ABC, where B is on the major arc.
- 30th June 20262 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.