Daily Practice · Higher
February 2009 - Higher 5-a-day
Every Higher sheet published in February 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2009 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2009Write the recurring decimal 0.777... as a fraction in its simplest form.
- 2nd February 2009Factorise x^2 - 81.
- 3rd February 2009x : y = 4 : 5. Write y in terms of x.
- 4th February 2009Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1024 cm^3. Work out the volume of the smaller.
- 5th February 200912 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 2009A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 7th February 2009Work out 8^(2/3).
- 8th February 2009Work out the equation of the line parallel to y = x - 6 that passes through (6, 15).
- 9th February 2009A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 10th February 2009A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 11th February 20096 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 2009A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 13th February 2009Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 14th February 2009A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 15th February 2009y is inversely proportional to x. When x = 7, y = 8. Work out y when x = 2.
- 16th February 2009ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 17th February 200926 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 2009Four classes in order have frequencies 3, 4, 8, 5. Write down the cumulative frequency at the end of the third class.
- 19th February 2009A meal deal has 6 mains, 4 sides and 4 drinks. How many different meals are possible?
- 20th February 2009For the curve y = -10/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 21st February 2009y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.
- 22nd February 2009A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 23rd February 20095 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 200910 voles are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 25th February 2009A mass is 78 kg, correct to the nearest whole number. Write down the upper bound.
- 26th February 2009Expand and simplify (x + 1)(x - 1)(x - 2).
- 27th February 2009y is directly proportional to x. When x = 3, y = 21. Work out y when x = 11.
- 28th February 2009A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.