Daily Practice · Higher
September 2023 - Higher 5-a-day
Every Higher sheet published in September 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2023 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2023The point (6, 4) is enlarged by scale factor -1 about the centre (1, 0). Write down the coordinates of the image.
- 2nd September 20236 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 2023A box plot has a minimum of 16 and a maximum of 54. Work out the range.
- 4th September 2023A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 5th September 2023Factorise x^2 - 6x - 16.
- 6th September 2023A block has volume 160 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th September 2023Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 40 cm^3. Work out the volume of the smaller.
- 8th September 202312 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 2023A box plot has minimum 10, lower quartile 18, median 20, upper quartile 23 and maximum 28. Work out the interquartile range.
- 10th September 2023A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th September 2023Work out the equation of the line parallel to y = -5x + 9 that passes through (3, -23).
- 12th September 2023x : y = 3 : 8. Write y in terms of x.
- 13th September 2023A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 14th September 20233 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 2023A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 16th September 2023Work out (56 x 10^12) / (7 x 10^2). Give your answer in standard form.
- 17th September 2023A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 18th September 2023A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 19th September 2023ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 20th September 202313 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 2023A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 22nd September 2023Write the recurring decimal 0.666... as a fraction in its simplest form.
- 23rd September 2023For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 24th September 2023y is inversely proportional to x. When x = 4, y = 20. Work out y when x = 10.
- 25th September 2023A, B and C are points on a circle with centre O. Angle AOC is 70°. Work out angle ABC, where B is on the major arc.
- 26th September 20237 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 2023Four classes in order have frequencies 11, 9, 4, 6. Write down the cumulative frequency at the end of the third class.
- 28th September 2023Work out 36^(3/2).
- 29th September 2023Expand and simplify (x - 2)(x - 1)(x - 1).
- 30th September 2023y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 6.