Daily Practice · Higher
December 2008 - Higher 5-a-day
Every Higher sheet published in December 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 20083 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 200860 beetles are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 3rd December 2008Work out 81^(3/2).
- 4th December 2008Factorise x^2 - 81.
- 5th December 2008y is directly proportional to x. When x = 9, y = 54. Work out y when x = 10.
- 6th December 2008A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 7th December 200814 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 2008A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th December 2008Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 10th December 2008A region is defined by y <= x + 4. Should the boundary line be solid or dashed, and why?
- 11th December 2008A town's population is 6000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 12th December 2008The point (-6, -1) is enlarged by scale factor -2 about the centre (3, -4). Write down the coordinates of the image.
- 13th December 20083 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 2008A box plot has a minimum of 8 and a maximum of 19. Work out the range.
- 15th December 2008A meal deal has 3 mains, 7 sides and 3 drinks. How many different meals are possible?
- 16th December 2008Factorise x^2 - x - 42.
- 17th December 2008A block has volume 95 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th December 2008Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 19th December 20089 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 2008A box plot has minimum 4, lower quartile 9, median 16, upper quartile 19 and maximum 26. Work out the interquartile range.
- 21st December 2008A mass is 29.2 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd December 2008Work out the equation of the line parallel to y = 3x - 9 that passes through (6, 19).
- 23rd December 2008x : y = 2 : 3. Write y in terms of x.
- 24th December 2008A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 25th December 20082 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 2008A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 27th December 2008Write 6^-3 as a fraction.
- 28th December 2008A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 29th December 2008A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 30th December 2008ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
- 31st December 200823 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.