Daily Practice · Higher
October 2008 - Higher 5-a-day
Every Higher sheet published in October 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2008A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 2nd October 20083 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 2008A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 4th October 2008Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 5th October 2008Expand and simplify (x + 2)(x - 5)(x - 3).
- 6th October 2008A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 7th October 2008A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 8th October 200830 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 2008A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 10th October 2008A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
- 11th October 2008Make x the subject of y = 3x^2 - 5.
- 12th October 2008y is inversely proportional to x. When x = 6, y = 6. Work out y when x = 2.
- 13th October 2008In triangle ABC, angle A is 64°, angle B is 84° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th October 20085 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 2008Four classes in order have frequencies 11, 11, 7, 10. Write down the cumulative frequency at the end of the third class.
- 16th October 2008A mass is 30 kg, correct to 1 decimal place. Write down the lower bound.
- 17th October 2008Factorise x^2 - 16.
- 18th October 2008y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 4.
- 19th October 2008A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 20th October 200821 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 200825 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 22nd October 2008Write 4^-2 as a fraction.
- 23rd October 2008A region is defined by y < 5x + 2. Should the boundary line be solid or dashed, and why?
- 24th October 2008y is directly proportional to x. When x = 6, y = 36. Work out y when x = 4.
- 25th October 2008The point (4, -5) is enlarged by scale factor -2 about the centre (4, 1). Write down the coordinates of the image.
- 26th October 20083 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 2008A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th October 2008Work out (5 x 10^6) x (3 x 10^-5). Give your answer in standard form.
- 29th October 2008Factorise x^2 - 6x + 5.
- 30th October 2008A town's population is 19000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 31st October 2008Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1536 cm^3. Work out the volume of the smaller.