Daily Practice · Higher
September 2005 - Higher 5-a-day
Every Higher sheet published in September 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2005 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2005A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 2nd September 2005Work out 64^(2/3).
- 3rd September 2005Factorise x^2 - 4x - 5.
- 4th September 2005y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 6.
- 5th September 2005Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2112 cm^3. Work out the volume of the smaller.
- 6th September 200526 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th September 2005Four classes in order have frequencies 8, 10, 5, 8. Write down the cumulative frequency at the end of the third class.
- 8th September 2005Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 9th September 2005Work out the equation of the line parallel to y = 4x + 2 that passes through (3, 8).
- 10th September 2005y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 3.
- 11th September 2005A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 12th September 20052 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th September 200520 beetles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 14th September 2005A meal deal has 7 mains, 7 sides and 6 drinks. How many different meals are possible?
- 15th September 2005A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 16th September 2005y is directly proportional to x. When x = 9, y = 36. Work out y when x = 10.
- 17th September 2005ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 18th September 200527 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th September 2005A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th September 2005A mass is 29 kg, correct to 1 decimal place. Write down the upper bound.
- 21st September 2005For the curve y = -35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 22nd September 2005A town's population is 7000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 23rd September 2005A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 24th September 20052 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th September 2005A box plot has a minimum of 14 and a maximum of 42. Work out the range.
- 26th September 2005Write 3^-2 as a fraction.
- 27th September 2005Expand and simplify (x + 3)(x - 3)(x + 1).
- 28th September 2005A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 29th September 2005A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 30th September 200512 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.