Daily Practice · Higher
November 2008 - Higher 5-a-day
Every Higher sheet published in November 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2008 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 200818 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd November 2008A box plot has a minimum of 18 and a maximum of 61. Work out the range.
- 3rd November 2008Write the recurring decimal 0.4646... as a fraction in its simplest form.
- 4th November 2008Work out the equation of the line parallel to y = -4x + 4 that passes through (1, -11).
- 5th November 2008A block has volume 75 cm^3 and density 11 g/cm^3. Work out its mass.
- 6th November 2008A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 7th November 20082 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th November 2008A box plot has minimum 5, lower quartile 13, median 18, upper quartile 23 and maximum 30. Work out the interquartile range.
- 9th November 2008A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 10th November 2008A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 11th November 2008x : y = 7 : 9. Write y in terms of x.
- 12th November 2008ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 13th November 200823 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th November 2008A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 15th November 2008A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th November 2008For the curve y = 120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 17th November 2008A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th November 2008A, B and C are points on a circle with centre O. Angle AOC is 132°. Work out angle ABC, where B is on the major arc.
- 19th November 20081 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th November 2008A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 21st November 2008Work out (9 x 10^6) / (3 x 10^4). Give your answer in standard form.
- 22nd November 2008Expand and simplify (x + 5)(x + 1)(x + 1).
- 23rd November 2008y is inversely proportional to x. When x = 5, y = 16. Work out y when x = 4.
- 24th November 2008A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 25th November 200827 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th November 2008Four classes in order have frequencies 10, 4, 8, 5. Write down the cumulative frequency at the end of the third class.
- 27th November 2008Write the recurring decimal 0.222... as a fraction in its simplest form.
- 28th November 2008Make x the subject of y = 9x^2 - 5.
- 29th November 2008y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 8.
- 30th November 2008In triangle ABC, angle A is 30°, angle B is 88° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.