Daily Practice · Higher
October 2020 - Higher 5-a-day
Every Higher sheet published in October 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2020Work out (7 x 10^6) x (8 x 10^-6). Give your answer in standard form.
- 2nd October 2020Factorise x^2 - 25.
- 3rd October 2020y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 8.
- 4th October 2020A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 5th October 202017 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 202055 newts are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 7th October 2020Write the recurring decimal 0.2323... as a fraction in its simplest form.
- 8th October 2020A region is defined by y <= 3x - 7. Should the boundary line be solid or dashed, and why?
- 9th October 2020y is directly proportional to x. When x = 7, y = 28. Work out y when x = 11.
- 10th October 2020The point (-5, 4) is enlarged by scale factor -2 about the centre (3, -3). Write down the coordinates of the image.
- 11th October 20201 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 2020A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th October 2020A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 14th October 2020Factorise x^2 - 2x - 3.
- 15th October 2020A town's population is 30000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 16th October 2020Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 112 cm^3. Work out the volume of the smaller.
- 17th October 202022 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 2020A box plot has a minimum of 17 and a maximum of 37. Work out the range.
- 19th October 2020A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th October 2020Work out the equation of the line parallel to y = -3x + 7 that passes through (4, -9).
- 21st October 2020A block has volume 25 cm^3 and density 8 g/cm^3. Work out its mass.
- 22nd October 2020A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 23rd October 20201 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 2020A box plot has minimum 8, lower quartile 18, median 25, upper quartile 30 and maximum 34. Work out the interquartile range.
- 25th October 2020Work out (20 x 10^7) / (4 x 10^5). Give your answer in standard form.
- 26th October 2020A line has equation y = 5x + 8. Work out the gradient of any line perpendicular to it.
- 27th October 2020x : y = 2 : 7. Write y in terms of x.
- 28th October 2020ABCD is a cyclic quadrilateral. Angle ABC is 61°. Work out angle ADC.
- 29th October 202026 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 2020A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 31st October 2020Write the recurring decimal 0.777... as a fraction in its simplest form.