Daily Practice · Higher
August 2018 - Higher 5-a-day
Every Higher sheet published in August 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2018 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2018Work out (9 x 10^6) x (3 x 10^6). Give your answer in standard form.
- 2nd August 2018A line has equation y = -4x + 1. Work out the gradient of any line perpendicular to it.
- 3rd August 2018y is directly proportional to x. When x = 7, y = 63. Work out y when x = 6.
- 4th August 2018ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 5th August 201823 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th August 2018A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th August 2018Write the recurring decimal 0.7171... as a fraction in its simplest form.
- 8th August 2018For the curve y = 1/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 9th August 2018A town's population is 21000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 10th August 2018A, 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.
- 11th August 20183 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th August 2018A box plot has a minimum of 13 and a maximum of 36. Work out the range.
- 13th August 2018A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 14th August 2018Expand and simplify (x + 5)(x - 4)(x - 5).
- 15th August 2018A block has volume 75 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th August 2018A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 17th August 201828 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 August 2018A box plot has minimum 15, lower quartile 21, median 30, upper quartile 36 and maximum 40. Work out the interquartile range.
- 19th August 2018A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th August 2018Make x the subject of y = 8x^2 - 5.
- 21st August 2018x : y = 5 : 9. Write y in terms of x.
- 22nd August 2018In triangle ABC, angle A is 73°, angle B is 43° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd August 20185 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th August 2018A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 25th August 2018Work out (24 x 10^9) / (3 x 10^5). Give your answer in standard form.
- 26th August 2018Factorise x^2 - 81.
- 27th August 2018A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th August 2018A 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.
- 29th August 20189 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th August 2018A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 31st August 2018Write the recurring decimal 0.333... as a fraction in its simplest form.