Daily Practice · Higher
November 1982 5-a-day
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The batch download puts all 5 tiers' November 1982 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1982A cumulative frequency graph is drawn for 164 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd November 1982A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 3rd November 1982A line has equation y = 5x + 1. Work out the gradient of any line perpendicular to it.
- 4th November 1982A town's population is 15500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 5th November 1982ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 6th November 198222 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th November 1982A box plot has a minimum of 2 and a maximum of 43. Work out the range.
- 8th November 1982A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th November 1982For the curve y = 5/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 10th November 1982A block has volume 60 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 11th November 1982A, B and C are points on a circle with centre O. Angle AOC is 50°. Work out angle ABC, where B is on the major arc.
- 12th November 19823 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th November 1982A box plot has minimum 11, lower quartile 21, median 29, upper quartile 35 and maximum 37. Work out the interquartile range.
- 14th November 1982Work out (42 x 10^7) / (6 x 10^2). Give your answer in standard form.
- 15th November 1982Expand and simplify (x + 4)(x + 5)(x + 5).
- 16th November 1982x : y = 2 : 9. Write y in terms of x.
- 17th November 1982A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 18th November 198224 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 November 1982A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 20th November 1982Write the recurring decimal 0.333... as a fraction in its simplest form.
- 21st November 1982Make x the subject of y = 7x^2 - 11.
- 22nd November 1982A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd November 1982In triangle ABC, angle A is 33°, angle B is 89° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th November 19826 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th November 1982A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 26th November 1982Work out 8^(2/3).
- 27th November 1982Factorise x^2 - 100.
- 28th November 1982y is inversely proportional to x. When x = 6, y = 60. Work out y when x = 10.
- 29th November 1982A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 30th November 198210 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.