Daily Practice · Higher
August 2020 - Higher 5-a-day
Every Higher sheet published in August 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2020A box plot has minimum 14, lower quartile 24, median 33, upper quartile 42 and maximum 45. Work out the interquartile range.
- 2nd August 2020Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 3rd August 2020Expand and simplify (x + 2)(x - 1)(x - 2).
- 4th August 2020x : y = 5 : 6. Write y in terms of x.
- 5th August 2020A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 6th August 202023 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 2020A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 8th August 2020A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 9th August 2020Make x the subject of y = 4x^2 - 2.
- 10th August 2020A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 11th August 2020In triangle ABC, angle A is 37°, angle B is 89° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th August 20204 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 2020A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 14th August 2020A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th August 2020Factorise x^2 - 36.
- 16th August 2020y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 6.
- 17th August 2020A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 18th August 202017 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 2020Four classes in order have frequencies 5, 11, 11, 3. Write down the cumulative frequency at the end of the third class.
- 20th August 2020Work out (18 x 10^7) / (9 x 10^3). Give your answer in standard form.
- 21st August 2020A region is defined by y <= 3x + 3. Should the boundary line be solid or dashed, and why?
- 22nd August 2020y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 9.
- 23rd August 2020The point (1, -6) is enlarged by scale factor -1 about the centre (-1, -3). Write down the coordinates of the image.
- 24th August 20206 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 202035 fish are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 26th August 2020Write the recurring decimal 0.888... as a fraction in its simplest form.
- 27th August 2020Factorise x^2 - 16.
- 28th August 2020y is directly proportional to x. When x = 7, y = 63. Work out y when x = 10.
- 29th August 2020Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 30th August 202013 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 2020A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?