Daily Practice · Higher
November 2021 - Higher 5-a-day
Every Higher sheet published in November 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2021 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2021Work out (6 x 10^3) x (3 x 10^-2). Give your answer in standard form.
- 2nd November 2021Factorise x^2 - 9x + 14.
- 3rd November 2021A block has volume 60 cm^3 and density 3 g/cm^3. Work out its mass.
- 4th November 2021Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 5th November 202121 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th November 2021A box plot has minimum 7, lower quartile 16, median 24, upper quartile 33 and maximum 37. Work out the interquartile range.
- 7th November 2021Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 8th November 2021Work out the equation of the line parallel to y = 4x + 7 that passes through (2, 15).
- 9th November 2021x : y = 4 : 7. Write y in terms of x.
- 10th November 2021A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 11th November 20213 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th November 2021A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 13th November 2021A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 14th November 2021A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 15th November 2021A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th November 2021ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 17th November 202116 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th November 2021A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 19th November 2021A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th November 2021For the curve y = -1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 21st November 2021y is inversely proportional to x. When x = 6, y = 36. Work out y when x = 12.
- 22nd November 2021A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
- 23rd November 20211 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th November 2021Four classes in order have frequencies 4, 10, 11, 10. Write down the cumulative frequency at the end of the third class.
- 25th November 2021Work out (15 x 10^12) / (3 x 10^2). Give your answer in standard form.
- 26th November 2021Expand and simplify (x + 3)(x + 4)(x + 2).
- 27th November 2021y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 7.
- 28th November 2021A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 29th November 202117 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th November 202115 beetles are marked and released. Later 32 are caught, of which 8 are marked. Estimate the population.