Daily Practice · Higher
June 2021 - Higher 5-a-day
Every Higher sheet published in June 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2021 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2021A 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.
- 2nd June 202116 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd June 2021A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 4th June 2021A meal deal has 4 mains, 9 sides and 6 drinks. How many different meals are possible?
- 5th June 2021A region is defined by y <= 4x - 3. Should the boundary line be solid or dashed, and why?
- 6th June 2021y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 3.
- 7th June 2021The point (3, -2) is enlarged by scale factor -2 about the centre (-3, -1). Write down the coordinates of the image.
- 8th June 20216 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th June 2021Four classes in order have frequencies 9, 3, 5, 8. Write down the cumulative frequency at the end of the third class.
- 10th June 2021A mass is 10.2 kg, correct to 1 decimal place. Write down the lower bound.
- 11th June 2021Factorise x^2 + 13x + 36.
- 12th June 2021y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 4.
- 13th June 2021Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 288 cm^3. Work out the volume of the smaller.
- 14th June 202124 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th June 202115 fish are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 16th June 2021Write 8^-3 as a fraction.
- 17th June 2021Work out the equation of the line parallel to y = -2x - 1 that passes through (1, 4).
- 18th June 2021y is directly proportional to x. When x = 4, y = 12. Work out y when x = 13.
- 19th June 2021A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 20th June 20214 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st June 2021A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd June 2021Work out (6 x 10^4) x (6 x 10^-6). Give your answer in standard form.
- 23rd June 2021A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 24th June 2021A town's population is 38000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 25th June 2021ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 26th June 202123 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th June 2021A box plot has a minimum of 17 and a maximum of 45. Work out the range.
- 28th June 2021Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 29th June 2021For the curve y = 6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 30th June 2021A block has volume 115 cm^3 and density 2.5 g/cm^3. Work out its mass.