Daily Practice · Higher
March 2008 - Higher 5-a-day
Every Higher sheet published in March 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2008A box plot has minimum 3, lower quartile 13, median 21, upper quartile 26 and maximum 33. Work out the interquartile range.
- 2nd March 2008Work out (14 x 10^6) / (7 x 10^3). Give your answer in standard form.
- 3rd March 2008Factorise x^2 - 5x - 14.
- 4th March 2008x : y = 5 : 7. Write y in terms of x.
- 5th March 2008Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 168 cm^3. Work out the volume of the smaller.
- 6th March 20089 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 2008A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 8th March 2008Write the recurring decimal 0.777... as a fraction in its simplest form.
- 9th March 2008Work out the equation of the line parallel to y = 2x - 1 that passes through (6, 24).
- 10th March 2008A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 11th March 2008A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 12th March 20087 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 2008A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 14th March 2008Work out 49^(3/2).
- 15th March 2008A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 16th March 2008y is inversely proportional to x. When x = 7, y = 2. Work out y when x = 2.
- 17th March 2008ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 18th March 200817 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 2008Four classes in order have frequencies 8, 12, 10, 7. Write down the cumulative frequency at the end of the third class.
- 20th March 2008Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 21st March 2008For the curve y = 10/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 22nd March 2008y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 23rd March 2008A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 24th March 20082 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 200835 fish are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 26th March 2008A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?
- 27th March 2008Expand and simplify (x + 5)(x + 3)(x - 2).
- 28th March 2008y is directly proportional to x. When x = 2, y = 8. Work out y when x = 9.
- 29th March 2008A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 30th March 200822 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 2008A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?