Daily Practice · Higher
August 2016 - Higher 5-a-day
Every Higher sheet published in August 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2016A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 2nd August 2016Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
- 3rd August 201627 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 2016A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 5th August 2016Work out (6 x 10^6) x (3 x 10^6). Give your answer in standard form.
- 6th August 2016Work out the equation of the line parallel to y = -4x + 8 that passes through (2, -11).
- 7th August 2016y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 4.
- 8th August 2016A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 9th August 20167 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 2016Four classes in order have frequencies 11, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
- 11th August 2016Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 12th August 2016A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 13th August 2016y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 3.
- 14th August 2016ABCD is a cyclic quadrilateral. Angle ABC is 117°. Work out angle ADC.
- 15th August 201631 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 201620 beetles are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 17th August 2016A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 18th August 2016For the curve y = 50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 19th August 2016y is directly proportional to x. When x = 7, y = 84. Work out y when x = 8.
- 20th August 2016A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 21st August 20161 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 2016A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd August 2016A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th August 2016Expand and simplify (x + 4)(x + 4)(x + 1).
- 25th August 2016A town's population is 27000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 26th August 2016A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 27th August 201630 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 2016A box plot has a minimum of 19 and a maximum of 37. Work out the range.
- 29th August 2016Work out (36 x 10^12) / (9 x 10^2). Give your answer in standard form.
- 30th August 2016Make x the subject of y = 6x^2 - 8.
- 31st August 2016A block has volume 170 cm^3 and density 3 g/cm^3. Work out its mass.