Daily Practice · Higher
September 2020 - Higher 5-a-day
Every Higher sheet published in September 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2020 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2020Work out 100^(3/2).
- 2nd September 2020Work out the equation of the line parallel to y = -3x + 8 that passes through (5, -20).
- 3rd September 2020A town's population is 36000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 4th September 2020A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 5th September 20202 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 2020A box plot has a minimum of 19 and a maximum of 54. Work out the range.
- 7th September 2020Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 8th September 2020A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 9th September 2020A block has volume 170 cm^3 and density 4 g/cm^3. Work out its mass.
- 10th September 2020ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 11th September 202022 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 2020A box plot has minimum 12, lower quartile 18, median 20, upper quartile 29 and maximum 33. Work out the interquartile range.
- 13th September 2020A meal deal has 5 mains, 9 sides and 4 drinks. How many different meals are possible?
- 14th September 2020For the curve y = 12/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 15th September 2020x : y = 2 : 3. Write y in terms of x.
- 16th September 2020A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 17th September 20201 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 2020A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 19th September 2020A mass is 7.6 kg, correct to 1 decimal place. Write down the lower bound.
- 20th September 2020Expand and simplify (x + 1)(x + 4)(x + 3).
- 21st September 2020A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 22nd September 2020A cone has base radius 3 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd September 202010 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 2020A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 25th September 2020Write 7^-2 as a fraction.
- 26th September 2020Make x the subject of y = 6x^2 - 5.
- 27th September 2020y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 6.
- 28th September 2020In triangle ABC, angle A is 45°, angle B is 65° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th September 20207 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 2020Four classes in order have frequencies 6, 5, 3, 10. Write down the cumulative frequency at the end of the third class.