Daily Practice · Higher
March 2005 - Higher 5-a-day
Every Higher sheet published in March 2005, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2005 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2005
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2005Work out the equation of the line parallel to y = x + 1 that passes through (5, 10).
- 2nd March 2005A block has volume 45 cm^3 and density 4 g/cm^3. Work out its mass.
- 3rd March 2005A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 4th March 20054 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th March 2005A box plot has minimum 6, lower quartile 13, median 21, upper quartile 24 and maximum 34. Work out the interquartile range.
- 6th March 2005A mass is 6.3 kg, correct to 1 decimal place. Write down the upper bound.
- 7th March 2005A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 8th March 2005x : y = 2 : 3. Write y in terms of x.
- 9th March 2005ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 10th March 200512 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th March 2005A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 12th March 2005Write 5^-3 as a fraction.
- 13th March 2005For the curve y = 10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 14th March 2005A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th March 2005A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 16th March 20054 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th March 2005A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 18th March 2005Work out (3 x 10^3) x (7 x 10^3). Give your answer in standard form.
- 19th March 2005Expand and simplify (x - 1)(x - 2)(x + 1).
- 20th March 2005y is inversely proportional to x. When x = 2, y = 18. Work out y when x = 3.
- 21st March 2005A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd March 200530 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd March 2005Four classes in order have frequencies 12, 10, 8, 8. Write down the cumulative frequency at the end of the third class.
- 24th March 2005Write the recurring decimal 0.3535... as a fraction in its simplest form.
- 25th March 2005Make x the subject of y = 5x^2 - 6.
- 26th March 2005y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 7.
- 27th March 2005In triangle ABC, angle A is 41°, angle B is 107° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th March 20052 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th March 200515 voles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 30th March 2005A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 31st March 2005Factorise x^2 - 9.