Daily Practice · Higher
April 2026 - Higher 5-a-day
Every Higher sheet published in April 2026, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2026 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 202614 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd April 2026A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 3rd April 2026Write the recurring decimal 0.555... as a fraction in its simplest form.
- 4th April 2026Make x the subject of y = 4x^2 - 5.
- 5th April 2026y is inversely proportional to x. When x = 5, y = 48. Work out y when x = 12.
- 6th April 2026In triangle ABC, angle A is 59°, angle B is 71° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th April 20265 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th April 2026Four classes in order have frequencies 12, 12, 3, 5. Write down the cumulative frequency at the end of the third class.
- 9th April 2026Work out 8^(2/3).
- 10th April 2026Factorise x^2 - 100.
- 11th April 2026y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 12th April 2026A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 13th April 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.
- 14th April 202640 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 15th April 2026Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 16th April 2026A region is defined by y <= -4x + 8. Should the boundary line be solid or dashed, and why?
- 17th April 2026y is directly proportional to x. When x = 6, y = 72. Work out y when x = 9.
- 18th April 2026The point (3, 2) is enlarged by scale factor -3 about the centre (-2, -2). Write down the coordinates of the image.
- 19th April 20263 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th April 2026A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st April 2026A meal deal has 9 mains, 9 sides and 5 drinks. How many different meals are possible?
- 22nd April 2026Factorise x^2 + 12x + 36.
- 23rd April 2026A town's population is 33500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 24th April 2026Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 891 cm^3. Work out the volume of the smaller.
- 25th April 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.
- 26th April 2026A box plot has a minimum of 11 and a maximum of 30. Work out the range.
- 27th April 2026A mass is 21.2 kg, correct to 1 decimal place. Write down the upper bound.
- 28th April 2026Work out the equation of the line parallel to y = 5x + 2 that passes through (2, 21).
- 29th April 2026A block has volume 155 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 30th April 2026A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.