Daily Practice · Higher
October 1983 5-a-day
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The batch download puts all 5 tiers' October 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1983A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 2nd October 19838 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd October 1983A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th October 1983A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th October 1983A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 6th October 1983A town's population is 5000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 7th October 1983ABCD is a cyclic quadrilateral. Angle ABC is 107°. Work out angle ADC.
- 8th October 198323 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th October 1983A box plot has a minimum of 16 and a maximum of 53. Work out the range.
- 10th October 1983Work out (24 x 10^6) / (6 x 10^2). Give your answer in standard form.
- 11th October 1983For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 12th October 1983A block has volume 60 cm^3 and density 4 g/cm^3. Work out its mass.
- 13th October 1983A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 14th October 19833 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th October 1983A box plot has minimum 10, lower quartile 19, median 23, upper quartile 32 and maximum 40. Work out the interquartile range.
- 16th October 1983Write the recurring decimal 0.666... as a fraction in its simplest form.
- 17th October 1983Expand and simplify (x - 4)(x - 5)(x - 5).
- 18th October 1983x : y = 3 : 5. Write y in terms of x.
- 19th October 1983A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 20th October 198314 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st October 1983A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 22nd October 1983Work out 16^(3/2).
- 23rd October 1983Make x the subject of y = 5x^2 - 4.
- 24th October 1983A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 25th October 1983In triangle ABC, angle A is 31°, angle B is 89° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th October 19831 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th October 1983A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 28th October 1983Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 29th October 1983Factorise x^2 - 36.
- 30th October 1983y is inversely proportional to x. When x = 7, y = 6. Work out y when x = 2.
- 31st October 1983A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.