Daily Practice · Higher
November 2023 - Higher 5-a-day
Every Higher sheet published in November 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2023 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 20231 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 2023A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 3rd November 2023Write the recurring decimal 0.3232... as a fraction in its simplest form.
- 4th November 2023A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 5th November 2023y is inversely proportional to x. When x = 6, y = 30. Work out y when x = 5.
- 6th November 2023ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 7th November 202314 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 2023Four classes in order have frequencies 3, 4, 7, 3. Write down the cumulative frequency at the end of the third class.
- 9th November 2023A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 10th November 2023For the curve y = -25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 11th November 2023y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 3.
- 12th November 2023A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 13th November 20233 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 202315 beetles are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
- 15th November 2023A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th November 2023Expand and simplify (x + 2)(x + 4)(x - 3).
- 17th November 2023y is directly proportional to x. When x = 5, y = 25. Work out y when x = 7.
- 18th November 2023A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 19th November 202321 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 2023A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st November 2023Work out (10 x 10^7) / (5 x 10^4). Give your answer in standard form.
- 22nd November 2023Make x the subject of y = 3x^2 - 7.
- 23rd November 2023A town's population is 35500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 24th November 2023In triangle ABC, angle A is 33°, angle B is 104° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th November 20232 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 2023A box plot has a minimum of 18 and a maximum of 64. Work out the range.
- 27th November 2023Write the recurring decimal 0.777... as a fraction in its simplest form.
- 28th November 2023Factorise x^2 - 81.
- 29th November 2023A block has volume 15 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th November 2023A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.