Daily Practice · Higher
April 2025 - Higher 5-a-day
Every Higher sheet published in April 2025, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2025 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 202550 beetles are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
- 2nd April 2025Write 6^-3 as a fraction.
- 3rd April 2025Factorise x^2 + 2x - 3.
- 4th April 2025y is directly proportional to x. When x = 5, y = 50. Work out y when x = 4.
- 5th April 2025Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.
- 6th April 202525 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th April 2025A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th April 2025Work out (3 x 10^5) x (2 x 10^2). Give your answer in standard form.
- 9th April 2025Work out the equation of the line parallel to y = -3x - 2 that passes through (3, 2).
- 10th April 2025A town's population is 25500 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 11th April 2025A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 12th April 20252 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th April 2025A box plot has a minimum of 7 and a maximum of 24. Work out the range.
- 14th April 2025Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 15th April 2025A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 16th April 2025A block has volume 115 cm^3 and density 11 g/cm^3. Work out its mass.
- 17th April 2025ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
- 18th April 202524 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th April 2025A box plot has minimum 15, lower quartile 18, median 23, upper quartile 31 and maximum 37. Work out the interquartile range.
- 20th April 2025A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 21st April 2025For the curve y = 30/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 22nd April 2025x : y = 7 : 9. Write y in terms of x.
- 23rd April 2025A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 24th April 20256 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th April 2025A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 26th April 2025A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th April 2025Expand and simplify (x + 2)(x - 1)(x - 3).
- 28th April 2025A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 29th April 2025A cone has base radius 3 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 30th April 202514 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.