Daily Practice · Higher
December 1974 5-a-day
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The batch download puts all 5 tiers' December 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1974A box plot has a minimum of 9 and a maximum of 22. Work out the range.
- 2nd December 1974Work out (21 x 10^11) / (7 x 10^5). Give your answer in standard form.
- 3rd December 1974Factorise x^2 - 6x - 7.
- 4th December 1974A block has volume 15 cm^3 and density 11 g/cm^3. Work out its mass.
- 5th December 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 864 cm^3. Work out the volume of the smaller.
- 6th December 197410 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th December 1974A box plot has minimum 5, lower quartile 13, median 23, upper quartile 33 and maximum 43. Work out the interquartile range.
- 8th December 1974Write the recurring decimal 0.555... as a fraction in its simplest form.
- 9th December 1974Work out the equation of the line parallel to y = 4x - 1 that passes through (6, 31).
- 10th December 1974x : y = 4 : 7. Write y in terms of x.
- 11th December 1974A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 12th December 19746 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th December 1974A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 14th December 1974Work out 216^(2/3).
- 15th December 1974A line has equation y = -5x + 9. Work out the gradient of any line perpendicular to it.
- 16th December 1974A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th December 1974ABCD is a cyclic quadrilateral. Angle ABC is 78°. Work out angle ADC.
- 18th December 197420 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th December 1974A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 20th December 1974Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 21st December 1974For the curve y = 48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 22nd December 1974y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 5.
- 23rd December 1974A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 24th December 19743 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th December 1974Four classes in order have frequencies 5, 3, 3, 12. Write down the cumulative frequency at the end of the third class.
- 26th December 1974A meal deal has 6 mains, 9 sides and 3 drinks. How many different meals are possible?
- 27th December 1974Expand and simplify (x + 4)(x + 3)(x + 2).
- 28th December 1974y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 9.
- 29th December 1974A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 30th December 197414 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st December 197415 voles are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.