Daily Practice · Higher
September 2009 - Higher 5-a-day
Every Higher sheet published in September 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2009 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2009x : y = 5 : 9. Write y in terms of x.
- 2nd September 2009A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 3rd September 20094 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th September 2009A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 5th September 2009A meal deal has 7 mains, 9 sides and 3 drinks. How many different meals are possible?
- 6th September 2009Expand and simplify (x - 5)(x + 2)(x - 5).
- 7th September 2009A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 8th September 2009A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 9th September 200919 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th September 2009A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 11th September 2009A mass is 240 kg, correct to the nearest 10. Write down the upper bound.
- 12th September 2009Make x the subject of y = 7x^2 - 12.
- 13th September 2009y is inversely proportional to x. When x = 5, y = 50. Work out y when x = 10.
- 14th September 2009In triangle ABC, angle A is 37°, angle B is 94° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 15th September 20093 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th September 2009Four classes in order have frequencies 5, 10, 10, 7. Write down the cumulative frequency at the end of the third class.
- 17th September 2009Write 8^-1 as a fraction.
- 18th September 2009Factorise x^2 - 81.
- 19th September 2009y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 20th September 2009A 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.
- 21st September 200913 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd September 200955 newts are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
- 23rd September 2009Work out (4 x 10^4) x (8 x 10^-4). Give your answer in standard form.
- 24th September 2009A region is defined by y <= 4x + 8. Should the boundary line be solid or dashed, and why?
- 25th September 2009y is directly proportional to x. When x = 5, y = 35. Work out y when x = 4.
- 26th September 2009The point (3, 3) is enlarged by scale factor -1 about the centre (-4, 2). Write down the coordinates of the image.
- 27th September 20096 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th September 2009A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th September 2009Write the recurring decimal 0.6969... as a fraction in its simplest form.
- 30th September 2009Factorise x^2 + 10x + 21.