Daily Practice · Higher
October 2022 - Higher 5-a-day
Every Higher sheet published in October 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2022 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 20221 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd October 2022A box plot has a minimum of 16 and a maximum of 26. Work out the range.
- 3rd October 2022Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 4th October 2022Factorise x^2 + 6x - 7.
- 5th October 2022A block has volume 135 cm^3 and density 11 g/cm^3. Work out its mass.
- 6th October 2022Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 152 cm^3. Work out the volume of the smaller.
- 7th October 202218 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th October 2022A box plot has minimum 9, lower quartile 13, median 17, upper quartile 27 and maximum 31. Work out the interquartile range.
- 9th October 2022A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 10th October 2022Work out the equation of the line parallel to y = -5x + 3 that passes through (1, -12).
- 11th October 2022x : y = 2 : 7. Write y in terms of x.
- 12th October 2022A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 13th October 20222 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th October 2022A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 15th October 2022A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th October 2022A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 17th October 2022A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th October 2022ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 19th October 202216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th October 2022A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 21st October 2022Work out (32 x 10^9) / (8 x 10^3). Give your answer in standard form.
- 22nd October 2022For the curve y = -4/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 23rd October 2022y is inversely proportional to x. When x = 4, y = 50. Work out y when x = 10.
- 24th October 2022A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 25th October 20222 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th October 2022Four classes in order have frequencies 4, 8, 10, 8. Write down the cumulative frequency at the end of the third class.
- 27th October 2022Write the recurring decimal 0.888... as a fraction in its simplest form.
- 28th October 2022Expand and simplify (x - 1)(x + 1)(x + 2).
- 29th October 2022y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 3.
- 30th October 2022A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 31st October 202223 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.