Daily Practice · Higher
May 2021 - Higher 5-a-day
Every Higher sheet published in May 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2021 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2021y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 7.
- 2nd May 2021A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 3rd May 20218 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th May 202115 fish are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 5th May 2021A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th May 2021A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 7th May 2021y is directly proportional to x. When x = 5, y = 55. Work out y when x = 6.
- 8th May 2021ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 9th May 202119 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th May 2021A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th May 2021Work out (32 x 10^6) / (8 x 10^5). Give your answer in standard form.
- 12th May 2021For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 13th May 2021A town's population is 32500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 14th May 2021A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 15th May 20215 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th May 2021A box plot has a minimum of 12 and a maximum of 71. Work out the range.
- 17th May 2021Write the recurring decimal 0.888... as a fraction in its simplest form.
- 18th May 2021Expand and simplify (x + 4)(x - 4)(x - 2).
- 19th May 2021A block has volume 105 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th May 2021A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 21st May 202116 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd May 2021A box plot has minimum 14, lower quartile 22, median 27, upper quartile 31 and maximum 39. Work out the interquartile range.
- 23rd May 2021Work out 100^(3/2).
- 24th May 2021Make x the subject of y = 7x^2 - 6.
- 25th May 2021x : y = 5 : 8. Write y in terms of x.
- 26th May 2021In triangle ABC, angle A is 40°, angle B is 62° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th May 20211 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th May 2021A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 29th May 2021Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 30th May 2021Factorise x^2 - 121.
- 31st May 2021A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.