Daily Practice · Higher
November 2016 - Higher 5-a-day
Every Higher sheet published in November 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2016 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 20162 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 2016Four classes in order have frequencies 7, 8, 5, 5. Write down the cumulative frequency at the end of the third class.
- 3rd November 2016Work out (30 x 10^10) / (5 x 10^5). Give your answer in standard form.
- 4th November 2016Factorise x^2 - 16.
- 5th November 2016y is directly proportional to x^2. When x = 2, y = 20. Work out y when x = 7.
- 6th November 2016Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 208 cm^3. Work out the volume of the smaller.
- 7th November 201618 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 201635 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 9th November 2016Write the recurring decimal 0.666... as a fraction in its simplest form.
- 10th November 2016Work out the equation of the line parallel to y = 3x + 1 that passes through (3, 0).
- 11th November 2016y is directly proportional to x. When x = 9, y = 54. Work out y when x = 7.
- 12th November 2016A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 13th November 20164 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 2016A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th November 2016Work out 27^(2/3).
- 16th November 2016A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 17th November 2016A town's population is 6000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 18th November 2016ABCD is a cyclic quadrilateral. Angle ABC is 100°. Work out angle ADC.
- 19th November 201629 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 2016A box plot has a minimum of 13 and a maximum of 58. Work out the range.
- 21st November 2016Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 22nd November 2016For the curve y = -6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 23rd November 2016A block has volume 130 cm^3 and density 3 g/cm^3. Work out its mass.
- 24th November 2016A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.
- 25th November 20163 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 2016A box plot has minimum 9, lower quartile 15, median 18, upper quartile 20 and maximum 26. Work out the interquartile range.
- 27th November 2016A meal deal has 3 mains, 3 sides and 5 drinks. How many different meals are possible?
- 28th November 2016Expand and simplify (x + 3)(x + 4)(x + 5).
- 29th November 2016x : y = 3 : 4. Write y in terms of x.
- 30th November 2016A cone has base radius 3 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.