Daily Practice · Higher
July 2020 - Higher 5-a-day
Every Higher sheet published in July 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 202017 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 July 2020A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 3rd July 2020Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 4th July 2020A region is defined by y < 4x - 7. Should the boundary line be solid or dashed, and why?
- 5th July 2020y is inversely proportional to x. When x = 2, y = 6. Work out y when x = 6.
- 6th July 2020The point (0, 3) is enlarged by scale factor -1 about the centre (0, 4). Write down the coordinates of the image.
- 7th July 20204 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 2020Four classes in order have frequencies 7, 7, 6, 8. Write down the cumulative frequency at the end of the third class.
- 9th July 2020A meal deal has 7 mains, 7 sides and 5 drinks. How many different meals are possible?
- 10th July 2020Factorise x^2 + 5x - 14.
- 11th July 2020y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 2.
- 12th July 2020Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2432 cm^3. Work out the volume of the smaller.
- 13th July 202032 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 202055 newts are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 15th July 2020A mass is 540 kg, correct to the nearest 10. Write down the upper bound.
- 16th July 2020Work out the equation of the line parallel to y = 5x + 5 that passes through (6, 26).
- 17th July 2020y is directly proportional to x. When x = 8, y = 16. Work out y when x = 12.
- 18th July 2020A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 19th July 20202 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 2020A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st July 2020Write 3^-1 as a fraction.
- 22nd July 2020A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 23rd July 2020A town's population is 10000 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 24th July 2020ABCD is a cyclic quadrilateral. Angle ABC is 107°. Work out angle ADC.
- 25th July 202018 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 2020A box plot has a minimum of 4 and a maximum of 28. Work out the range.
- 27th July 2020Work out (3 x 10^8) x (6 x 10^4). Give your answer in standard form.
- 28th July 2020For the curve y = 90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 29th July 2020A block has volume 165 cm^3 and density 8 g/cm^3. Work out its mass.
- 30th July 2020A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 31st July 20203 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.