Daily Practice · Higher
September 2015 - Higher 5-a-day
Every Higher sheet published in September 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2015 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2015Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 2nd September 201531 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 2015A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 4th September 2015Write 7^-3 as a fraction.
- 5th September 2015Work out the equation of the line parallel to y = -2x + 9 that passes through (1, 10).
- 6th September 2015y is inversely proportional to x. When x = 2, y = 40. Work out y when x = 10.
- 7th September 2015A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 8th September 20151 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 2015Four classes in order have frequencies 10, 4, 6, 8. Write down the cumulative frequency at the end of the third class.
- 10th September 2015Work out (3 x 10^6) x (6 x 10^3). Give your answer in standard form.
- 11th September 2015A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 12th September 2015y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 13th September 2015ABCD is a cyclic quadrilateral. Angle ABC is 129°. Work out angle ADC.
- 14th September 201520 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 201515 fish are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 16th September 2015Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 17th September 2015For the curve y = 30/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 18th September 2015y is directly proportional to x. When x = 5, y = 50. Work out y when x = 3.
- 19th September 2015A, B and C are points on a circle with centre O. Angle AOC is 128°. Work out angle ABC, where B is on the major arc.
- 20th September 20155 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 2015A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd September 2015A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 23rd September 2015Expand and simplify (x - 1)(x - 4)(x + 2).
- 24th September 2015A town's population is 3000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 25th September 2015A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 26th September 201530 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 2015A box plot has a minimum of 20 and a maximum of 49. Work out the range.
- 28th September 2015A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th September 2015Make x the subject of y = 3x^2 - 2.
- 30th September 2015A block has volume 170 cm^3 and density 2.5 g/cm^3. Work out its mass.