Daily Practice · Higher
December 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' December 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19924 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1992Four classes in order have frequencies 9, 6, 4, 8. Write down the cumulative frequency at the end of the third class.
- 3rd December 1992Work out (6 x 10^4) x (4 x 10^-3). Give your answer in standard form.
- 4th December 1992Factorise x^2 + 14x + 48.
- 5th December 1992y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 2.
- 6th December 1992Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 128 cm^3. Work out the volume of the smaller.
- 7th December 199214 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 199215 beetles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 9th December 1992Write the recurring decimal 0.4949... as a fraction in its simplest form.
- 10th December 1992Work out the equation of the line parallel to y = -2x - 3 that passes through (1, 9).
- 11th December 1992y is directly proportional to x. When x = 8, y = 72. Work out y when x = 4.
- 12th December 1992A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 13th December 19921 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 1992A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th December 1992A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 16th December 1992A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 17th December 1992A town's population is 2000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 18th December 1992ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.
- 19th December 199230 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 1992A box plot has a minimum of 7 and a maximum of 65. Work out the range.
- 21st December 1992A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd December 1992For the curve y = -12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 23rd December 1992A block has volume 55 cm^3 and density 8 g/cm^3. Work out its mass.
- 24th December 1992A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
- 25th December 19922 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 1992A box plot has minimum 7, lower quartile 16, median 22, upper quartile 28 and maximum 33. Work out the interquartile range.
- 27th December 1992Work out (18 x 10^8) / (3 x 10^2). Give your answer in standard form.
- 28th December 1992Expand and simplify (x + 5)(x - 5)(x + 5).
- 29th December 1992x : y = 2 : 3. Write y in terms of x.
- 30th December 1992A cone has base radius 2 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 31st December 199215 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.