Daily Practice · Higher
September 2022 - Higher 5-a-day
Every Higher sheet published in September 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2022 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 202217 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd September 2022A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 3rd September 2022Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 4th September 2022For the curve y = -4/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 5th September 2022A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 6th September 2022A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 7th September 20224 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th September 2022A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 9th September 2022A meal deal has 9 mains, 9 sides and 6 drinks. How many different meals are possible?
- 10th September 2022Expand and simplify (x + 3)(x + 2)(x - 4).
- 11th September 2022y is inversely proportional to x. When x = 4, y = 18. Work out y when x = 3.
- 12th September 2022A cone has base radius 7 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 13th September 202223 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th September 2022Four classes in order have frequencies 4, 7, 6, 3. Write down the cumulative frequency at the end of the third class.
- 15th September 2022A mass is 650 kg, correct to the nearest 10. Write down the upper bound.
- 16th September 2022Make x the subject of y = 7x^2 - 5.
- 17th September 2022y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 9.
- 18th September 2022In triangle ABC, angle A is 44°, angle B is 86° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th September 20228 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th September 202255 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 21st September 2022Write 4^-1 as a fraction.
- 22nd September 2022Factorise x^2 - 16.
- 23rd September 2022y is directly proportional to x. When x = 5, y = 25. Work out y when x = 2.
- 24th September 2022A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 25th September 202228 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th September 2022A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th September 2022Work out (4 x 10^8) x (7 x 10^-6). Give your answer in standard form.
- 28th September 2022A region is defined by y < -2x + 7. Should the boundary line be solid or dashed, and why?
- 29th September 2022A town's population is 7000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 30th September 2022The point (0, 4) is enlarged by scale factor -2 about the centre (2, -3). Write down the coordinates of the image.