Daily Practice · Higher
December 1956 5-a-day
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The batch download puts all 5 tiers' December 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1956Factorise x^2 - 36.
- 2nd December 1956y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.
- 3rd December 1956Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
- 4th December 195625 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 1956Four classes in order have frequencies 7, 5, 5, 10. Write down the cumulative frequency at the end of the third class.
- 6th December 1956A mass is 660 kg, correct to the nearest 10. Write down the lower bound.
- 7th December 1956Work out the equation of the line parallel to y = -5x - 6 that passes through (3, -3).
- 8th December 1956y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 9.
- 9th December 1956A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 10th December 19567 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 195655 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 12th December 1956Write 8^-2 as a fraction.
- 13th December 1956A line has equation y = 4x + 8. Work out the gradient of any line perpendicular to it.
- 14th December 1956y is directly proportional to x. When x = 8, y = 48. Work out y when x = 11.
- 15th December 1956ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 16th December 195620 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 1956A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th December 1956Work out (9 x 10^4) x (2 x 10^4). Give your answer in standard form.
- 19th December 1956For the curve y = 40/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 20th December 1956A town's population is 28500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 21st December 1956A, 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.
- 22nd December 19565 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1956A box plot has a minimum of 11 and a maximum of 38. Work out the range.
- 24th December 1956Write the recurring decimal 0.5151... as a fraction in its simplest form.
- 25th December 1956Expand and simplify (x - 5)(x - 3)(x + 1).
- 26th December 1956A block has volume 55 cm^3 and density 8 g/cm^3. Work out its mass.
- 27th December 1956A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 28th December 195610 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1956A box plot has minimum 3, lower quartile 7, median 14, upper quartile 23 and maximum 30. Work out the interquartile range.
- 30th December 1956A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 31st December 1956Make x the subject of y = 7x^2 - 4.