Daily Practice · Higher
October 2011 - Higher 5-a-day
Every Higher sheet published in October 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2011A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 2nd October 2011A line has equation y = 3x + 8. Work out the gradient of any line perpendicular to it.
- 3rd October 2011A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th October 2011ABCD is a cyclic quadrilateral. Angle ABC is 118°. Work out angle ADC.
- 5th October 201119 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 2011A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 7th October 2011A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th October 2011For the curve y = -90/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 9th October 2011y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 12.
- 10th October 2011A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.
- 11th October 20111 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 2011Four classes in order have frequencies 6, 10, 11, 4. Write down the cumulative frequency at the end of the third class.
- 13th October 2011Work out (16 x 10^10) / (4 x 10^4). Give your answer in standard form.
- 14th October 2011Expand and simplify (x - 3)(x - 3)(x + 1).
- 15th October 2011y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 6.
- 16th October 2011A cone has base radius 5 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 17th October 201120 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 201110 fish are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 19th October 2011Write the recurring decimal 0.666... as a fraction in its simplest form.
- 20th October 2011Make x the subject of y = 5x^2 - 2.
- 21st October 2011y is directly proportional to x. When x = 7, y = 14. Work out y when x = 3.
- 22nd October 2011In triangle ABC, angle A is 35°, angle B is 106° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd October 20111 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 2011A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th October 2011Work out 216^(2/3).
- 26th October 2011Factorise x^2 - 49.
- 27th October 2011A town's population is 31500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 28th October 2011A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 29th October 201119 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 2011A box plot has a minimum of 6 and a maximum of 47. Work out the range.
- 31st October 2011Write sqrt(45) in the form a sqrt(b), where b is as small as possible.