Daily Practice · Higher
May 2024 - Higher 5-a-day
Every Higher sheet published in May 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2024 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2024A mass is 260 kg, correct to the nearest 10. Write down the upper bound.
- 2nd May 2024Factorise x^2 - 13x + 42.
- 3rd May 2024y is directly proportional to x. When x = 3, y = 21. Work out y when x = 13.
- 4th May 2024Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1344 cm^3. Work out the volume of the smaller.
- 5th May 202412 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 2024A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th May 2024Write 5^-3 as a fraction.
- 8th May 2024Work out the equation of the line parallel to y = x + 1 that passes through (2, -7).
- 9th May 2024A town's population is 3500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 10th May 2024A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 11th May 20241 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 2024A box plot has a minimum of 18 and a maximum of 55. Work out the range.
- 13th May 2024Work out (8 x 10^5) x (4 x 10^-5). Give your answer in standard form.
- 14th May 2024A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 15th May 2024A block has volume 30 cm^3 and density 8 g/cm^3. Work out its mass.
- 16th May 2024ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 17th May 202410 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 2024A box plot has minimum 10, lower quartile 20, median 25, upper quartile 27 and maximum 33. Work out the interquartile range.
- 19th May 2024Write the recurring decimal 0.2525... as a fraction in its simplest form.
- 20th May 2024For the curve y = 35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 21st May 2024x : y = 4 : 7. Write y in terms of x.
- 22nd May 2024A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 23rd May 20244 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 2024A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 25th May 2024A bill is £96 including VAT at 20%. Work out the amount before VAT.
- 26th May 2024Expand and simplify (x + 2)(x - 1)(x + 1).
- 27th May 2024A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th May 2024A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 29th May 202416 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 2024A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 31st May 2024A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?