Daily Practice · Higher
March 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1982Write the recurring decimal 0.222... as a fraction in its simplest form.
- 2nd March 1982Work out the equation of the line parallel to y = -x - 1 that passes through (4, -2).
- 3rd March 1982A block has volume 120 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th March 1982A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 5th March 19823 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th March 1982A box plot has minimum 6, lower quartile 13, median 20, upper quartile 25 and maximum 33. Work out the interquartile range.
- 7th March 1982Work out 16^(3/2).
- 8th March 1982A line has equation y = -4x + 2. Work out the gradient of any line perpendicular to it.
- 9th March 1982x : y = 2 : 7. Write y in terms of x.
- 10th March 1982ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 11th March 198214 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th March 1982A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 13th March 1982Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 14th March 1982For the curve y = 24/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 15th March 1982A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 16th March 1982A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 17th March 19821 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th March 1982A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 19th March 1982A meal deal has 9 mains, 9 sides and 2 drinks. How many different meals are possible?
- 20th March 1982Expand and simplify (x - 2)(x + 4)(x - 1).
- 21st March 1982y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 6.
- 22nd March 1982A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd March 19829 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th March 1982Four classes in order have frequencies 12, 9, 7, 7. Write down the cumulative frequency at the end of the third class.
- 25th March 1982A mass is 69 kg, correct to the nearest whole number. Write down the lower bound.
- 26th March 1982Make x the subject of y = 3x^2 - 6.
- 27th March 1982y is directly proportional to x^2. When x = 5, y = 175. Work out y when x = 8.
- 28th March 1982In triangle ABC, angle A is 31°, angle B is 97° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th March 19821 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th March 198255 fish are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 31st March 1982Write 3^-1 as a fraction.