Daily Practice · Higher
March 1972 5-a-day
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The batch download puts all 5 tiers' March 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1972A block has volume 80 cm^3 and density 11 g/cm^3. Work out its mass.
- 2nd March 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 3rd March 197213 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 1972A box plot has minimum 7, lower quartile 16, median 23, upper quartile 26 and maximum 36. Work out the interquartile range.
- 5th March 1972A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 6th March 1972Work out the equation of the line parallel to y = -3x - 1 that passes through (3, 2).
- 7th March 1972x : y = 5 : 7. Write y in terms of x.
- 8th March 1972A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 9th March 19722 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 1972A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 11th March 1972A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th March 1972A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 13th March 1972A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th March 1972ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 15th March 197220 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 1972A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 17th March 1972Work out (25 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 18th March 1972For the curve y = 35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 19th March 1972y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 4.
- 20th March 1972A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.
- 21st March 19727 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 1972Four classes in order have frequencies 4, 12, 3, 12. Write down the cumulative frequency at the end of the third class.
- 23rd March 1972Write the recurring decimal 0.777... as a fraction in its simplest form.
- 24th March 1972Expand and simplify (x - 1)(x - 4)(x + 5).
- 25th March 1972y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 6.
- 26th March 1972A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 27th March 197216 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 197230 voles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 29th March 1972Work out 125^(2/3).
- 30th March 1972Make x the subject of y = 7x^2 - 9.
- 31st March 1972y is directly proportional to x. When x = 5, y = 45. Work out y when x = 10.