Daily Practice · Higher
March 1975 5-a-day
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The batch download puts all 5 tiers' March 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1975A box plot has minimum 14, lower quartile 24, median 28, upper quartile 33 and maximum 42. Work out the interquartile range.
- 2nd March 1975A meal deal has 7 mains, 6 sides and 6 drinks. How many different meals are possible?
- 3rd March 1975A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?
- 4th March 1975x : y = 7 : 9. Write y in terms of x.
- 5th March 1975The point (6, 3) is enlarged by scale factor -3 about the centre (-2, 1). Write down the coordinates of the image.
- 6th March 19751 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 1975A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 8th March 1975A mass is 68 kg, correct to the nearest whole number. Write down the lower bound.
- 9th March 1975Factorise x^2 - 6x + 8.
- 10th March 1975A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 11th March 1975Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 12th March 197523 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 1975A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 14th March 1975Write 5^-3 as a fraction.
- 15th March 1975Work out the equation of the line parallel to y = -3x + 7 that passes through (5, -13).
- 16th March 1975y is inversely proportional to x. When x = 8, y = 36. Work out y when x = 12.
- 17th March 1975A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 18th March 19754 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 1975Four classes in order have frequencies 7, 10, 10, 4. Write down the cumulative frequency at the end of the third class.
- 20th March 1975Work out (7 x 10^5) x (2 x 10^-4). Give your answer in standard form.
- 21st March 1975A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 22nd March 1975y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 23rd March 1975ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 24th March 197519 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 197550 beetles are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 26th March 1975Write the recurring decimal 0.5353... as a fraction in its simplest form.
- 27th March 1975For the curve y = 60/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 28th March 1975y is directly proportional to x. When x = 3, y = 9. Work out y when x = 2.
- 29th March 1975A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 30th March 19752 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 1975A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?