Daily Practice · Higher
November 2019 - Higher 5-a-day
Every Higher sheet published in November 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2019 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2019Factorise x^2 - 64.
- 2nd November 2019y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 2.
- 3rd November 2019A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 4th November 201919 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 201945 beetles are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.
- 6th November 2019Work out (8 x 10^7) x (6 x 10^3). Give your answer in standard form.
- 7th November 2019A region is defined by y <= -3x - 6. Should the boundary line be solid or dashed, and why?
- 8th November 2019y is directly proportional to x. When x = 5, y = 15. Work out y when x = 15.
- 9th November 2019The point (4, 2) is enlarged by scale factor -2 about the centre (3, -1). Write down the coordinates of the image.
- 10th November 20192 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 2019A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th November 2019Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 13th November 2019Factorise x^2 - 10x + 16.
- 14th November 2019A town's population is 37000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 15th November 2019Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 16th November 201924 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 2019A box plot has a minimum of 17 and a maximum of 62. Work out the range.
- 18th November 2019A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 19th November 2019Work out the equation of the line parallel to y = -5x + 1 that passes through (1, 6).
- 20th November 2019A block has volume 120 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st November 2019A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 22nd November 20191 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 2019A box plot has minimum 1, lower quartile 8, median 15, upper quartile 24 and maximum 34. Work out the interquartile range.
- 24th November 2019A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th November 2019A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 26th November 2019x : y = 2 : 9. Write y in terms of x.
- 27th November 2019ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 28th November 201917 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 2019A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 30th November 2019Work out (42 x 10^12) / (6 x 10^4). Give your answer in standard form.