Daily Practice · Higher
November 2014 - Higher 5-a-day
Every Higher sheet published in November 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2014 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2014A box plot has minimum 3, lower quartile 13, median 19, upper quartile 24 and maximum 32. Work out the interquartile range.
- 2nd November 2014A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd November 2014Factorise x^2 - 121.
- 4th November 2014x : y = 2 : 9. Write y in terms of x.
- 5th November 2014A 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.
- 6th November 201421 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th November 2014A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 8th November 2014Work out (18 x 10^11) / (2 x 10^4). Give your answer in standard form.
- 9th November 2014A region is defined by y < 5x - 5. Should the boundary line be solid or dashed, and why?
- 10th November 2014A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 11th November 2014The point (2, -4) is enlarged by scale factor -2 about the centre (-1, -1). Write down the coordinates of the image.
- 12th November 20141 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th November 2014A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 14th November 2014Write the recurring decimal 0.555... as a fraction in its simplest form.
- 15th November 2014Factorise x^2 - 15x + 56.
- 16th November 2014y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 5.
- 17th November 2014Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1053 cm^3. Work out the volume of the smaller.
- 18th November 201413 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th November 2014Four classes in order have frequencies 3, 4, 7, 11. Write down the cumulative frequency at the end of the third class.
- 20th November 2014Work out 27^(2/3).
- 21st November 2014Work out the equation of the line parallel to y = -x - 2 that passes through (6, 3).
- 22nd November 2014y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 8.
- 23rd November 2014A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 24th November 20143 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th November 201445 voles are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.
- 26th November 2014Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 27th November 2014A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 28th November 2014y is directly proportional to x. When x = 9, y = 108. Work out y when x = 12.
- 29th November 2014ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 30th November 201420 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.