Daily Practice · Higher
September 2010 - Higher 5-a-day
Every Higher sheet published in September 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2010 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2010Factorise x^2 + 11x + 24.
- 2nd September 2010A town's population is 32500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd September 2010Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 4th September 201030 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th September 2010A box plot has a minimum of 18 and a maximum of 71. Work out the range.
- 6th September 2010A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th September 2010Work out the equation of the line parallel to y = -5x - 2 that passes through (6, -31).
- 8th September 2010A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th September 2010A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 10th September 20103 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th September 2010A box plot has minimum 8, lower quartile 18, median 28, upper quartile 33 and maximum 41. Work out the interquartile range.
- 12th September 2010Work out (56 x 10^12) / (7 x 10^5). Give your answer in standard form.
- 13th September 2010A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 14th September 2010x : y = 2 : 9. Write y in terms of x.
- 15th September 2010ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 16th September 201027 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th September 2010A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 18th September 2010Write the recurring decimal 0.111... as a fraction in its simplest form.
- 19th September 2010For the curve y = 40/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 20th September 2010A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st September 2010A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 22nd September 20104 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd September 2010A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 24th September 2010Work out 16^(3/2).
- 25th September 2010Expand and simplify (x + 5)(x + 5)(x - 5).
- 26th September 2010y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 27th September 2010A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 28th September 201027 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th September 2010Four classes in order have frequencies 10, 7, 3, 12. Write down the cumulative frequency at the end of the third class.
- 30th September 2010Write sqrt(48) in the form a sqrt(b), where b is as small as possible.