Daily Practice · Higher
November 2025 - Higher 5-a-day
Every Higher sheet published in November 2025, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2025 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2025A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 2nd November 20256 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd November 2025A cumulative frequency graph is drawn for 232 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th November 2025A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 5th November 2025Expand and simplify (x - 5)(x - 3)(x + 1).
- 6th November 2025A town's population is 31500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 7th November 2025A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 8th November 202517 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th November 2025A box plot has a minimum of 20 and a maximum of 46. Work out the range.
- 10th November 2025A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th November 2025Make x the subject of y = 9x^2 - 11.
- 12th November 2025A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 13th November 2025In triangle ABC, angle A is 44°, angle B is 63° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th November 20257 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th November 2025A box plot has minimum 2, lower quartile 5, median 13, upper quartile 23 and maximum 30. Work out the interquartile range.
- 16th November 2025Work out (48 x 10^10) / (8 x 10^2). Give your answer in standard form.
- 17th November 2025Factorise x^2 - 81.
- 18th November 2025x : y = 5 : 6. Write y in terms of x.
- 19th November 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.
- 20th November 20258 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st November 2025A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 22nd November 2025Write the recurring decimal 0.888... as a fraction in its simplest form.
- 23rd November 2025A region is defined by y < -x + 8. Should the boundary line be solid or dashed, and why?
- 24th November 2025A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 25th November 2025The point (0, -4) is enlarged by scale factor -3 about the centre (0, 2). Write down the coordinates of the image.
- 26th November 20255 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th November 2025A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 28th November 2025Work out 100^(3/2).
- 29th November 2025Factorise x^2 + x - 42.
- 30th November 2025y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 10.