Daily Practice · Higher
May 2023 - Higher 5-a-day
Every Higher sheet published in May 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2023 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2023A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd May 2023For the curve y = -20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 3rd May 2023A block has volume 70 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 4th May 2023A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 5th May 20232 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 2023A box plot has minimum 5, lower quartile 9, median 15, upper quartile 23 and maximum 31. Work out the interquartile range.
- 7th May 2023Work out (36 x 10^10) / (6 x 10^2). Give your answer in standard form.
- 8th May 2023Expand and simplify (x - 2)(x - 5)(x - 5).
- 9th May 2023x : y = 5 : 6. Write y in terms of x.
- 10th May 2023A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 11th May 202315 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 2023A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 13th May 2023Write the recurring decimal 0.666... as a fraction in its simplest form.
- 14th May 2023Make x the subject of y = 3x^2 - 12.
- 15th May 2023A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th May 2023In triangle ABC, angle A is 49°, angle B is 68° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th May 20234 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 2023A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 19th May 2023Work out 36^(3/2).
- 20th May 2023Factorise x^2 - 4.
- 21st May 2023y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 3.
- 22nd May 2023A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 23rd May 202324 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 2023Four classes in order have frequencies 11, 6, 7, 3. Write down the cumulative frequency at the end of the third class.
- 25th May 2023Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 26th May 2023A region is defined by y <= 2x + 2. Should the boundary line be solid or dashed, and why?
- 27th May 2023y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 7.
- 28th May 2023The point (1, 6) is enlarged by scale factor -1 about the centre (2, 1). Write down the coordinates of the image.
- 29th May 20235 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 202355 beetles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 31st May 2023A meal deal has 5 mains, 4 sides and 5 drinks. How many different meals are possible?