Daily Practice · Higher
September 2012 - Higher 5-a-day
Every Higher sheet published in September 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2012 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2012A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2nd September 2012A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 3rd September 2012A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th September 2012ABCD is a cyclic quadrilateral. Angle ABC is 60°. Work out angle ADC.
- 5th September 201215 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 2012A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 7th September 2012Work out (54 x 10^10) / (6 x 10^5). Give your answer in standard form.
- 8th September 2012For the curve y = -30/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 9th September 2012y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 6.
- 10th September 2012A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 11th September 20123 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 2012Four classes in order have frequencies 12, 9, 10, 5. Write down the cumulative frequency at the end of the third class.
- 13th September 2012Write the recurring decimal 0.111... as a fraction in its simplest form.
- 14th September 2012Expand and simplify (x + 5)(x - 4)(x + 1).
- 15th September 2012y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 16th September 2012A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 17th September 201220 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 201245 fish are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 19th September 2012Work out 49^(3/2).
- 20th September 2012Make x the subject of y = 8x^2 - 6.
- 21st September 2012y is directly proportional to x. When x = 3, y = 30. Work out y when x = 5.
- 22nd September 2012In triangle ABC, angle A is 39°, angle B is 34° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd September 20121 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 2012A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th September 2012Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 26th September 2012Factorise x^2 - 4.
- 27th September 2012A town's population is 34000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 28th September 2012A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 29th September 201212 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 2012A box plot has a minimum of 9 and a maximum of 57. Work out the range.