Daily Practice · Higher
May 2022 - Higher 5-a-day
Every Higher sheet published in May 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2022 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2022Factorise x^2 - 4.
- 2nd May 2022A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd May 2022A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 4th May 202210 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th May 2022A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 6th May 2022A mass is 27.5 kg, correct to 1 decimal place. Write down the lower bound.
- 7th May 2022A region is defined by y <= 4x - 6. Should the boundary line be solid or dashed, and why?
- 8th May 2022y is inversely proportional to x. When x = 6, y = 60. Work out y when x = 10.
- 9th May 2022The point (0, -3) is enlarged by scale factor -3 about the centre (-1, 1). Write down the coordinates of the image.
- 10th May 20224 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th May 2022Four classes in order have frequencies 11, 7, 6, 8. Write down the cumulative frequency at the end of the third class.
- 12th May 2022Write 5^-1 as a fraction.
- 13th May 2022Factorise x^2 + 9x + 8.
- 14th May 2022y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
- 15th May 2022Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 248 cm^3. Work out the volume of the smaller.
- 16th May 202216 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th May 202245 beetles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 18th May 2022Work out (2 x 10^5) x (6 x 10^-3). Give your answer in standard form.
- 19th May 2022Work out the equation of the line parallel to y = x + 5 that passes through (5, 4).
- 20th May 2022y is directly proportional to x. When x = 3, y = 18. Work out y when x = 9.
- 21st May 2022A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 22nd May 20222 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd May 2022A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th May 2022Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 25th May 2022A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 26th May 2022A town's population is 24000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 27th May 2022ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 28th May 202230 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th May 2022A box plot has a minimum of 4 and a maximum of 18. Work out the range.
- 30th May 2022A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 31st May 2022For the curve y = 24/x, work out y when x = 4, and write down the equation of its vertical asymptote.