Daily Practice · Higher
May 2019 - Higher 5-a-day
Every Higher sheet published in May 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2019 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2019The point (-6, -3) is enlarged by scale factor -1 about the centre (0, 4). Write down the coordinates of the image.
- 2nd May 20191 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 2019A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 4th May 2019A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 5th May 2019Factorise x^2 - 11x + 30.
- 6th May 2019A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 7th May 2019Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 cm^3. Work out the volume of the smaller.
- 8th May 201921 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 2019A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 10th May 2019A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th May 2019Work out the equation of the line parallel to y = -5x - 9 that passes through (4, -15).
- 12th May 2019y is inversely proportional to x. When x = 9, y = 40. Work out y when x = 10.
- 13th May 2019A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 14th May 20192 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 2019Four classes in order have frequencies 4, 9, 7, 3. Write down the cumulative frequency at the end of the third class.
- 16th May 2019Work out (45 x 10^11) / (5 x 10^2). Give your answer in standard form.
- 17th May 2019A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 18th May 2019y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 5.
- 19th May 2019ABCD is a cyclic quadrilateral. Angle ABC is 75°. Work out angle ADC.
- 20th May 201925 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 201945 newts are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
- 22nd May 2019Write the recurring decimal 0.222... as a fraction in its simplest form.
- 23rd May 2019For the curve y = -6/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 24th May 2019y is directly proportional to x. When x = 9, y = 72. Work out y when x = 5.
- 25th May 2019A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 26th May 20192 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 2019A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th May 2019Work out 49^(3/2).
- 29th May 2019Expand and simplify (x + 1)(x - 3)(x + 3).
- 30th May 2019A town's population is 5000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 31st May 2019A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.