Daily Practice · Higher
November 2011 - Higher 5-a-day
Every Higher sheet published in November 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2011 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2011A region is defined by y < -4x - 8. Should the boundary line be solid or dashed, and why?
- 2nd November 2011A block has volume 80 cm^3 and density 11 g/cm^3. Work out its mass.
- 3rd November 2011The point (-6, 0) is enlarged by scale factor -2 about the centre (-4, -1). Write down the coordinates of the image.
- 4th November 20113 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th November 2011A box plot has minimum 15, lower quartile 24, median 26, upper quartile 36 and maximum 43. Work out the interquartile range.
- 6th November 2011A meal deal has 8 mains, 8 sides and 2 drinks. How many different meals are possible?
- 7th November 2011Factorise x^2 - 6x - 7.
- 8th November 2011x : y = 2 : 3. Write y in terms of x.
- 9th November 2011Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 10th November 201113 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th November 2011A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 12th November 2011A mass is 90 kg, correct to the nearest 10. Write down the upper bound.
- 13th November 2011Work out the equation of the line parallel to y = 4x - 2 that passes through (6, 16).
- 14th November 2011A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 15th November 2011A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 16th November 20113 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th November 2011A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 18th November 2011Write 8^-3 as a fraction.
- 19th November 2011A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 20th November 2011y is inversely proportional to x. When x = 5, y = 9. Work out y when x = 3.
- 21st November 2011ABCD is a cyclic quadrilateral. Angle ABC is 123°. Work out angle ADC.
- 22nd November 201119 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd November 2011Four classes in order have frequencies 10, 9, 3, 12. Write down the cumulative frequency at the end of the third class.
- 24th November 2011Work out (3 x 10^3) x (6 x 10^4). Give your answer in standard form.
- 25th November 2011For the curve y = -12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 26th November 2011y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 2.
- 27th November 2011A, B and C are points on a circle with centre O. Angle AOC is 100°. Work out angle ABC, where B is on the major arc.
- 28th November 20114 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th November 201130 fish are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
- 30th November 2011Write the recurring decimal 0.1313... as a fraction in its simplest form.