Daily Practice · Higher
December 1971 5-a-day
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The batch download puts all 5 tiers' December 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1971Work out the equation of the line parallel to y = 3x - 5 that passes through (3, 4).
- 2nd December 1971A town's population is 18000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 3rd December 1971A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 4th December 19713 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 1971A box plot has a minimum of 9 and a maximum of 68. Work out the range.
- 6th December 1971A mass is 26.9 kg, correct to 1 decimal place. Write down the lower bound.
- 7th December 1971A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 8th December 1971A block has volume 175 cm^3 and density 11 g/cm^3. Work out its mass.
- 9th December 1971ABCD is a cyclic quadrilateral. Angle ABC is 70°. Work out angle ADC.
- 10th December 197116 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th December 1971A box plot has minimum 15, lower quartile 21, median 30, upper quartile 38 and maximum 40. Work out the interquartile range.
- 12th December 1971Write 6^-2 as a fraction.
- 13th December 1971For the curve y = 2/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 14th December 1971x : y = 4 : 9. Write y in terms of x.
- 15th December 1971A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 16th December 19711 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 1971A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 18th December 1971Work out (5 x 10^6) x (2 x 10^-4). Give your answer in standard form.
- 19th December 1971Expand and simplify (x + 4)(x - 2)(x + 3).
- 20th December 1971A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 21st December 1971A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd December 197126 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 1971A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 24th December 1971Write the recurring decimal 0.2323... as a fraction in its simplest form.
- 25th December 1971Make x the subject of y = 7x^2 - 3.
- 26th December 1971y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 6.
- 27th December 1971In triangle ABC, angle A is 76°, angle B is 31° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th December 19711 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 1971Four classes in order have frequencies 10, 10, 11, 4. Write down the cumulative frequency at the end of the third class.
- 30th December 1971A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 31st December 1971Factorise x^2 - 9.