Daily Practice · Higher
January 1974 5-a-day
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The batch download puts all 5 tiers' January 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1974Factorise x^2 - 11x + 24.
- 2nd January 1974A block has volume 85 cm^3 and density 11 g/cm^3. Work out its mass.
- 3rd January 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 918 cm^3. Work out the volume of the smaller.
- 4th January 197411 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th January 1974A box plot has minimum 8, lower quartile 15, median 18, upper quartile 23 and maximum 30. Work out the interquartile range.
- 6th January 1974Work out (81 x 10^11) / (9 x 10^3). Give your answer in standard form.
- 7th January 1974Work out the equation of the line parallel to y = -3x + 6 that passes through (4, -2).
- 8th January 1974x : y = 4 : 9. Write y in terms of x.
- 9th January 1974A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 10th January 19741 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th January 1974A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 12th January 1974Write the recurring decimal 0.777... as a fraction in its simplest form.
- 13th January 1974A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 14th January 1974A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th January 1974ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 16th January 197430 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th January 1974A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 18th January 1974Work out 8^(2/3).
- 19th January 1974For the curve y = -20/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 20th January 1974y is inversely proportional to x. When x = 4, y = 10. Work out y when x = 2.
- 21st January 1974A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 22nd January 19743 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd January 1974Four classes in order have frequencies 11, 8, 10, 11. Write down the cumulative frequency at the end of the third class.
- 24th January 1974Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 25th January 1974Expand and simplify (x - 4)(x + 2)(x - 5).
- 26th January 1974y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 9.
- 27th January 1974A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 28th January 197421 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th January 197455 voles are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 30th January 1974A meal deal has 4 mains, 7 sides and 6 drinks. How many different meals are possible?
- 31st January 1974Make x the subject of y = 9x^2 - 4.