Daily Practice · Higher
June 2019 - Higher 5-a-day
Every Higher sheet published in June 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2019 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 201926 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 2019A box plot has a minimum of 19 and a maximum of 64. Work out the range.
- 3rd June 2019Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 4th June 2019Make x the subject of y = 3x^2 - 10.
- 5th June 2019A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 6th June 2019In triangle ABC, angle A is 79°, angle B is 52° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th June 20196 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 2019A box plot has minimum 3, lower quartile 10, median 18, upper quartile 25 and maximum 34. Work out the interquartile range.
- 9th June 2019A meal deal has 8 mains, 6 sides and 5 drinks. How many different meals are possible?
- 10th June 2019Factorise x^2 - 121.
- 11th June 2019x : y = 4 : 5. Write y in terms of x.
- 12th June 2019A 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.
- 13th June 201923 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 2019A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 15th June 2019A mass is 31 kg, correct to the nearest whole number. Write down the lower bound.
- 16th June 2019A region is defined by y <= -x + 4. Should the boundary line be solid or dashed, and why?
- 17th June 2019A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th June 2019The point (4, -1) is enlarged by scale factor -1 about the centre (-1, 2). Write down the coordinates of the image.
- 19th June 20193 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 2019A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 21st June 2019Write 8^-2 as a fraction.
- 22nd June 2019Factorise x^2 + 6x - 7.
- 23rd June 2019y is inversely proportional to x. When x = 8, y = 30. Work out y when x = 5.
- 24th June 2019Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 176 cm^3. Work out the volume of the smaller.
- 25th June 20198 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 2019Four classes in order have frequencies 10, 11, 7, 10. Write down the cumulative frequency at the end of the third class.
- 27th June 2019Work out (5 x 10^6) x (6 x 10^-4). Give your answer in standard form.
- 28th June 2019Work out the equation of the line parallel to y = 2x - 6 that passes through (4, 3).
- 29th June 2019y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 3.
- 30th June 2019A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.