Daily Practice · Higher
September 2021 - Higher 5-a-day
Every Higher sheet published in September 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2021 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2021Four classes in order have frequencies 4, 7, 3, 11. Write down the cumulative frequency at the end of the third class.
- 2nd September 2021Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 3rd September 2021Factorise x^2 - 64.
- 4th September 2021y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 3.
- 5th September 2021A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 6th September 202114 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th September 202160 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 8th September 2021A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 9th September 2021A region is defined by y <= x + 4. Should the boundary line be solid or dashed, and why?
- 10th September 2021y is directly proportional to x. When x = 2, y = 14. Work out y when x = 3.
- 11th September 2021The point (-5, -1) is enlarged by scale factor -2 about the centre (3, 2). Write down the coordinates of the image.
- 12th September 20211 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th September 2021A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th September 2021A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th September 2021Factorise x^2 - 2x - 15.
- 16th September 2021A town's population is 20000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 17th September 2021Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 18th September 202115 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th September 2021A box plot has a minimum of 13 and a maximum of 42. Work out the range.
- 20th September 2021Work out (10 x 10^9) / (2 x 10^5). Give your answer in standard form.
- 21st September 2021Work out the equation of the line parallel to y = 3x + 4 that passes through (4, 14).
- 22nd September 2021A block has volume 200 cm^3 and density 4 g/cm^3. Work out its mass.
- 23rd September 2021A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 24th September 20211 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th September 2021A box plot has minimum 1, lower quartile 4, median 7, upper quartile 16 and maximum 19. Work out the interquartile range.
- 26th September 2021Write the recurring decimal 0.111... as a fraction in its simplest form.
- 27th September 2021A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 28th September 2021x : y = 4 : 7. Write y in terms of x.
- 29th September 2021ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 30th September 202115 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.