Daily Practice · Higher
August 2024 - Higher 5-a-day
Every Higher sheet published in August 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2024 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2024A town's population is 29500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 2nd August 2024The point (6, -3) is enlarged by scale factor -2 about the centre (-1, -3). Write down the coordinates of the image.
- 3rd August 20241 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 2024A box plot has a minimum of 14 and a maximum of 31. Work out the range.
- 5th August 2024A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th August 2024Factorise x^2 - 13x + 36.
- 7th August 2024A block has volume 30 cm^3 and density 11 g/cm^3. Work out its mass.
- 8th August 2024Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 9th August 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.
- 10th August 2024A box plot has minimum 2, lower quartile 8, median 17, upper quartile 25 and maximum 32. Work out the interquartile range.
- 11th August 2024Work out (20 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 12th August 2024Work out the equation of the line parallel to y = -2x - 1 that passes through (4, -17).
- 13th August 2024x : y = 2 : 9. Write y in terms of x.
- 14th August 2024A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 15th August 20241 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 2024A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 17th August 2024Write the recurring decimal 0.222... as a fraction in its simplest form.
- 18th August 2024A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 19th August 2024A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th August 2024ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 21st August 202415 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 2024A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 23rd August 2024Work out 49^(3/2).
- 24th August 2024For the curve y = -12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 25th August 2024y is inversely proportional to x. When x = 2, y = 50. Work out y when x = 10.
- 26th August 2024A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 27th August 20242 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 2024Four classes in order have frequencies 7, 10, 8, 4. Write down the cumulative frequency at the end of the third class.
- 29th August 2024Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 30th August 2024Expand and simplify (x + 3)(x - 4)(x + 5).
- 31st August 2024y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 9.