Daily Practice · Higher
March 1985 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 19851 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd March 1985A box plot has minimum 14, lower quartile 24, median 28, upper quartile 36 and maximum 44. Work out the interquartile range.
- 3rd March 1985Write the recurring decimal 0.1414... as a fraction in its simplest form.
- 4th March 1985Factorise x^2 - 7x + 12.
- 5th March 1985x : y = 4 : 7. Write y in terms of x.
- 6th March 1985Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 7th March 198511 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th March 1985A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th March 1985A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 10th March 1985Work out the equation of the line parallel to y = 2x - 9 that passes through (1, -5).
- 11th March 1985A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 12th March 1985A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 13th March 19857 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th March 1985A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 15th March 1985A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th March 1985A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 17th March 1985y is inversely proportional to x. When x = 7, y = 30. Work out y when x = 5.
- 18th March 1985ABCD is a cyclic quadrilateral. Angle ABC is 123°. Work out angle ADC.
- 19th March 198520 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th March 1985Four classes in order have frequencies 3, 11, 5, 3. Write down the cumulative frequency at the end of the third class.
- 21st March 1985Work out (18 x 10^6) / (9 x 10^2). Give your answer in standard form.
- 22nd March 1985For the curve y = -20/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 23rd March 1985y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 4.
- 24th March 1985A, 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.
- 25th March 19852 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th March 198530 beetles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 27th March 1985Write the recurring decimal 0.333... as a fraction in its simplest form.
- 28th March 1985Expand and simplify (x + 4)(x + 1)(x + 4).
- 29th March 1985y is directly proportional to x. When x = 9, y = 36. Work out y when x = 15.
- 30th March 1985A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 31st March 198517 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.