Daily Practice · Higher
September 2024 - Higher 5-a-day
Every Higher sheet published in September 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2024 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2024A cone has base radius 9 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd September 202431 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 202410 newts are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.
- 4th September 2024A meal deal has 4 mains, 4 sides and 2 drinks. How many different meals are possible?
- 5th September 2024Make x the subject of y = 7x^2 - 11.
- 6th September 2024y is directly proportional to x. When x = 4, y = 28. Work out y when x = 6.
- 7th September 2024In triangle ABC, angle A is 68°, angle B is 35° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th September 20245 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 2024A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th September 2024A mass is 20.9 kg, correct to 1 decimal place. Write down the upper bound.
- 11th September 2024Factorise x^2 - 100.
- 12th September 2024A town's population is 24000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 13th September 2024A 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.
- 14th September 202415 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 2024A box plot has a minimum of 8 and a maximum of 53. Work out the range.
- 16th September 2024Write 7^-3 as a fraction.
- 17th September 2024A region is defined by y < -2x - 9. Should the boundary line be solid or dashed, and why?
- 18th September 2024A block has volume 180 cm^3 and density 11 g/cm^3. Work out its mass.
- 19th September 2024The point (5, 5) is enlarged by scale factor -3 about the centre (1, -4). Write down the coordinates of the image.
- 20th September 20247 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 2024A box plot has minimum 7, lower quartile 15, median 25, upper quartile 34 and maximum 40. Work out the interquartile range.
- 22nd September 2024Work out (7 x 10^8) x (5 x 10^6). Give your answer in standard form.
- 23rd September 2024Factorise x^2 + 6x - 16.
- 24th September 2024x : y = 2 : 5. Write y in terms of x.
- 25th September 2024Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 26th September 202427 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 2024A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 28th September 2024Write the recurring decimal 0.4444... as a fraction in its simplest form.
- 29th September 2024Work out the equation of the line parallel to y = x - 8 that passes through (3, 0).
- 30th September 2024A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.