Daily Practice · Higher
September 2019 - Higher 5-a-day
Every Higher sheet published in September 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2019 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2019Work out (4 x 10^8) x (3 x 10^6). Give your answer in standard form.
- 2nd September 2019Expand and simplify (x - 4)(x - 3)(x - 5).
- 3rd September 2019x : y = 5 : 9. Write y in terms of x.
- 4th September 2019A cone has base radius 5 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 5th September 201918 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 2019A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 7th September 2019Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 8th September 2019Make x the subject of y = 9x^2 - 10.
- 9th September 2019A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 10th September 2019In triangle ABC, angle A is 67°, angle B is 81° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th September 20191 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 2019A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 13th September 2019A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 14th September 2019Factorise x^2 - 81.
- 15th September 2019y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 10.
- 16th September 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.
- 17th September 201917 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 2019Four classes in order have frequencies 5, 11, 7, 5. Write down the cumulative frequency at the end of the third class.
- 19th September 2019A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th September 2019A region is defined by y < 5x - 4. Should the boundary line be solid or dashed, and why?
- 21st September 2019y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 22nd September 2019The point (-4, 2) is enlarged by scale factor -2 about the centre (-3, 2). Write down the coordinates of the image.
- 23rd September 20191 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 201945 beetles are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 25th September 2019Work out (8 x 10^10) / (2 x 10^4). Give your answer in standard form.
- 26th September 2019Factorise x^2 + 12x + 27.
- 27th September 2019y is directly proportional to x. When x = 4, y = 12. Work out y when x = 8.
- 28th September 2019Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 29th September 201917 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 2019A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?