Daily Practice · Higher
February 2025 - Higher 5-a-day
Every Higher sheet published in February 2025, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2025 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2025Work out (6 x 10^8) x (4 x 10^2). Give your answer in standard form.
- 2nd February 2025Factorise x^2 - 100.
- 3rd February 2025A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 4th February 2025A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 5th February 202521 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 2025A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 7th February 2025Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 8th February 2025A region is defined by y <= -x - 7. Should the boundary line be solid or dashed, and why?
- 9th February 2025y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 3.
- 10th February 2025The point (0, 5) is enlarged by scale factor -3 about the centre (-4, 1). Write down the coordinates of the image.
- 11th February 20257 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 2025Four classes in order have frequencies 4, 11, 6, 6. Write down the cumulative frequency at the end of the third class.
- 13th February 2025A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 14th February 2025Factorise x^2 + 8x + 16.
- 15th February 2025y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 4.
- 16th February 2025Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2240 cm^3. Work out the volume of the smaller.
- 17th February 202510 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 202535 beetles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 19th February 2025A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th February 2025Work out the equation of the line parallel to y = -x + 9 that passes through (2, -14).
- 21st February 2025y is directly proportional to x. When x = 8, y = 32. Work out y when x = 9.
- 22nd February 2025A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 23rd February 20255 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 2025A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th February 2025Work out (27 x 10^8) / (9 x 10^5). Give your answer in standard form.
- 26th February 2025A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 27th February 2025A town's population is 27500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 28th February 2025ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.