Daily Practice · Higher
January 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' January 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1992Four classes in order have frequencies 9, 5, 3, 5. Write down the cumulative frequency at the end of the third class.
- 2nd January 1992Write 8^-2 as a fraction.
- 3rd January 1992Factorise x^2 + 4x - 32.
- 4th January 1992y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 9.
- 5th January 1992Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
- 6th January 199216 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th January 199240 beetles are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
- 8th January 1992Work out (7 x 10^5) x (8 x 10^-2). Give your answer in standard form.
- 9th January 1992Work out the equation of the line parallel to y = 2x + 1 that passes through (6, 17).
- 10th January 1992y is directly proportional to x. When x = 9, y = 63. Work out y when x = 14.
- 11th January 1992A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 12th January 19924 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th January 1992A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th January 1992Write the recurring decimal 0.2424... as a fraction in its simplest form.
- 15th January 1992A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 16th January 1992A town's population is 15500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 17th January 1992ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 18th January 19929 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th January 1992A box plot has a minimum of 8 and a maximum of 54. Work out the range.
- 20th January 1992A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 21st January 1992For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 22nd January 1992A block has volume 105 cm^3 and density 3 g/cm^3. Work out its mass.
- 23rd January 1992A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 24th January 19922 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th January 1992A box plot has minimum 14, lower quartile 17, median 21, upper quartile 31 and maximum 39. Work out the interquartile range.
- 26th January 1992A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th January 1992Expand and simplify (x - 5)(x + 2)(x + 2).
- 28th January 1992x : y = 2 : 7. Write y in terms of x.
- 29th January 1992A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 30th January 199210 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st January 1992A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.