Daily Practice · Higher
August 2026 - Higher 5-a-day
Every Higher sheet published in August 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2026A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd August 2026Work out the equation of the line parallel to y = 3x + 8 that passes through (5, 5).
- 3rd August 2026A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th August 2026A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 5th August 20266 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th August 2026A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 7th August 2026Work out (21 x 10^11) / (3 x 10^4). Give your answer in standard form.
- 8th August 2026A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 9th August 2026y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 4.
- 10th August 2026ABCD is a cyclic quadrilateral. Angle ABC is 92°. Work out angle ADC.
- 11th August 202617 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th August 2026Four classes in order have frequencies 10, 7, 8, 9. Write down the cumulative frequency at the end of the third class.
- 13th August 2026Write the recurring decimal 0.444... as a fraction in its simplest form.
- 14th August 2026For the curve y = -4/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 15th August 2026y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 5.
- 16th August 2026A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 17th August 20265 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th August 202610 voles are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 19th August 2026Work out 125^(2/3).
- 20th August 2026Expand and simplify (x + 2)(x + 5)(x + 2).
- 21st August 2026y is directly proportional to x. When x = 8, y = 96. Work out y when x = 2.
- 22nd August 2026A cone has base radius 10 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd August 202624 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th August 2026A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th August 2026Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 26th August 2026Make x the subject of y = 8x^2 - 3.
- 27th August 2026A town's population is 32000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 28th August 2026In triangle ABC, angle A is 46°, angle B is 66° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th August 20263 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th August 2026A box plot has a minimum of 4 and a maximum of 35. Work out the range.
- 31st August 2026A meal deal has 7 mains, 8 sides and 5 drinks. How many different meals are possible?