Daily Practice · Higher
August 2008 - Higher 5-a-day
Every Higher sheet published in August 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2008y is directly proportional to x. When x = 4, y = 48. Work out y when x = 13.
- 2nd August 2008A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 3rd August 20083 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 2008A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th August 2008A meal deal has 5 mains, 3 sides and 6 drinks. How many different meals are possible?
- 6th August 2008A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 7th August 2008A town's population is 34500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 8th August 2008ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 9th August 200824 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 2008A box plot has a minimum of 10 and a maximum of 24. Work out the range.
- 11th August 2008A mass is 11 kg, correct to the nearest whole number. Write down the lower bound.
- 12th August 2008For the curve y = 32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 13th August 2008A block has volume 175 cm^3 and density 8 g/cm^3. Work out its mass.
- 14th August 2008A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 15th August 20083 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 2008A box plot has minimum 10, lower quartile 18, median 21, upper quartile 31 and maximum 40. Work out the interquartile range.
- 17th August 2008Write 2^-3 as a fraction.
- 18th August 2008Expand and simplify (x - 4)(x - 2)(x - 2).
- 19th August 2008x : y = 5 : 7. Write y in terms of x.
- 20th August 2008A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 21st August 200815 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 2008A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 23rd August 2008Work out (8 x 10^8) x (4 x 10^5). Give your answer in standard form.
- 24th August 2008Make x the subject of y = 5x^2 - 10.
- 25th August 2008A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th August 2008In triangle ABC, angle A is 56°, angle B is 34° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th August 20082 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 2008A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 29th August 2008Write the recurring decimal 0.6565... as a fraction in its simplest form.
- 30th August 2008Factorise x^2 - 4.
- 31st August 2008y is inversely proportional to x. When x = 4, y = 4. Work out y when x = 2.