Daily Practice · Higher
October 2009 - Higher 5-a-day
Every Higher sheet published in October 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' October 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 2009A town's population is 23000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 2nd October 2009Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 783 cm^3. Work out the volume of the smaller.
- 3rd October 200916 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th October 2009A box plot has a minimum of 18 and a maximum of 62. Work out the range.
- 5th October 2009A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 6th October 2009Work out the equation of the line parallel to y = -4x + 4 that passes through (2, 2).
- 7th October 2009A block has volume 140 cm^3 and density 11 g/cm^3. Work out its mass.
- 8th October 2009A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 9th October 20094 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th October 2009A box plot has minimum 10, lower quartile 12, median 19, upper quartile 26 and maximum 29. Work out the interquartile range.
- 11th October 2009A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th October 2009A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 13th October 2009x : y = 4 : 5. Write y in terms of x.
- 14th October 2009ABCD is a cyclic quadrilateral. Angle ABC is 68°. Work out angle ADC.
- 15th October 200920 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th October 2009A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th October 2009Work out (6 x 10^6) / (2 x 10^5). Give your answer in standard form.
- 18th October 2009For the curve y = -25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 19th October 2009A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th October 2009A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 21st October 20093 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd October 2009A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 23rd October 2009Write the recurring decimal 0.777... as a fraction in its simplest form.
- 24th October 2009Expand and simplify (x - 4)(x + 4)(x - 3).
- 25th October 2009y is inversely proportional to x. When x = 2, y = 48. Work out y when x = 12.
- 26th October 2009A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 27th October 200925 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th October 2009Four classes in order have frequencies 5, 8, 11, 9. Write down the cumulative frequency at the end of the third class.
- 29th October 2009Work out 27^(2/3).
- 30th October 2009Make x the subject of y = 6x^2 - 6.
- 31st October 2009y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 9.