Daily Practice · Higher
July 2022 - Higher 5-a-day
Every Higher sheet published in July 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2022 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2022y is directly proportional to x. When x = 6, y = 24. Work out y when x = 5.
- 2nd July 2022Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 3rd July 202216 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th July 2022A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th July 2022A meal deal has 3 mains, 9 sides and 5 drinks. How many different meals are possible?
- 6th July 2022Work out the equation of the line parallel to y = x - 8 that passes through (3, -8).
- 7th July 2022A town's population is 20000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 8th July 2022A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 9th July 20223 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th July 2022A box plot has a minimum of 11 and a maximum of 34. Work out the range.
- 11th July 2022A mass is 41 kg, correct to the nearest whole number. Write down the lower bound.
- 12th July 2022A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 13th July 2022A block has volume 85 cm^3 and density 8 g/cm^3. Work out its mass.
- 14th July 2022ABCD is a cyclic quadrilateral. Angle ABC is 73°. Work out angle ADC.
- 15th July 202221 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th July 2022A box plot has minimum 15, lower quartile 21, median 25, upper quartile 34 and maximum 40. Work out the interquartile range.
- 17th July 2022Write 7^-3 as a fraction.
- 18th July 2022For the curve y = 10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 19th July 2022x : y = 3 : 4. Write y in terms of x.
- 20th July 2022A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.
- 21st July 20223 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd July 2022A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 23rd July 2022Work out (3 x 10^4) x (2 x 10^6). Give your answer in standard form.
- 24th July 2022Expand and simplify (x - 1)(x - 5)(x + 1).
- 25th July 2022A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th July 2022A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 27th July 202224 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th July 2022A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 29th July 2022Write the recurring decimal 0.9898... as a fraction in its simplest form.
- 30th July 2022Make x the subject of y = 6x^2 - 7.
- 31st July 2022y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.