Daily Practice · Higher
March 1995 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1995A block has volume 140 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 2nd March 1995Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 3rd March 199515 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 1995A box plot has minimum 15, lower quartile 22, median 28, upper quartile 34 and maximum 36. Work out the interquartile range.
- 5th March 1995Write the recurring decimal 0.111... as a fraction in its simplest form.
- 6th March 1995Work out the equation of the line parallel to y = x - 2 that passes through (3, 2).
- 7th March 1995x : y = 4 : 9. Write y in terms of x.
- 8th March 1995A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 9th March 19953 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 1995A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 11th March 1995Work out 216^(2/3).
- 12th March 1995A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 13th March 1995A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th March 1995ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 15th March 199526 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 1995A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 17th March 1995Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 18th March 1995For the curve y = 48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 19th March 1995y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 12.
- 20th March 1995A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 21st March 19951 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 1995Four classes in order have frequencies 8, 3, 7, 10. Write down the cumulative frequency at the end of the third class.
- 23rd March 1995A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?
- 24th March 1995Expand and simplify (x + 4)(x - 1)(x - 2).
- 25th March 1995y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 2.
- 26th March 1995A cone has base radius 3 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 27th March 199519 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 199520 voles are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 29th March 1995A mass is 630 kg, correct to the nearest 10. Write down the lower bound.
- 30th March 1995Make x the subject of y = 4x^2 - 2.
- 31st March 1995y is directly proportional to x. When x = 6, y = 66. Work out y when x = 11.