Daily Practice · Higher
May 2025 - Higher 5-a-day
Every Higher sheet published in May 2025, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2025 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2025A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 2nd May 2025Work out (32 x 10^7) / (4 x 10^5). Give your answer in standard form.
- 3rd May 2025Make x the subject of y = 8x^2 - 10.
- 4th May 2025y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 6.
- 5th May 2025In triangle ABC, angle A is 30°, angle B is 34° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th May 20252 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th May 2025Four classes in order have frequencies 5, 7, 12, 8. Write down the cumulative frequency at the end of the third class.
- 8th May 2025Write the recurring decimal 0.555... as a fraction in its simplest form.
- 9th May 2025Factorise x^2 - 36.
- 10th May 2025y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 5.
- 11th May 2025A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 12th May 202527 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th May 202510 fish are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 14th May 2025Work out 125^(2/3).
- 15th May 2025A region is defined by y <= x - 9. Should the boundary line be solid or dashed, and why?
- 16th May 2025y is directly proportional to x. When x = 3, y = 33. Work out y when x = 13.
- 17th May 2025The point (4, -6) is enlarged by scale factor -1 about the centre (-1, 2). Write down the coordinates of the image.
- 18th May 20253 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th May 2025A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th May 2025Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 21st May 2025Factorise x^2 - 11x + 24.
- 22nd May 2025A town's population is 2500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 23rd May 2025Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 24th May 202528 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th May 2025A box plot has a minimum of 6 and a maximum of 49. Work out the range.
- 26th May 2025A meal deal has 9 mains, 4 sides and 3 drinks. How many different meals are possible?
- 27th May 2025Work out the equation of the line parallel to y = -2x + 1 that passes through (2, -16).
- 28th May 2025A block has volume 100 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 29th May 2025A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 30th May 20251 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st May 2025A box plot has minimum 3, lower quartile 8, median 18, upper quartile 21 and maximum 27. Work out the interquartile range.