Daily Practice · Higher
July 1983 5-a-day
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The batch download puts all 5 tiers' July 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1983A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 2nd July 1983y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 9.
- 3rd July 1983ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 4th July 198326 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 198360 fish are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 6th July 1983Write 3^-3 as a fraction.
- 7th July 1983For the curve y = -4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 8th July 1983y is directly proportional to x. When x = 4, y = 8. Work out y when x = 2.
- 9th July 1983A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 10th July 19832 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 1983A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th July 1983Work out (5 x 10^4) x (9 x 10^-6). Give your answer in standard form.
- 13th July 1983Expand and simplify (x + 3)(x - 4)(x + 2).
- 14th July 1983A town's population is 20000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 15th July 1983A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 16th July 198323 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1983A box plot has a minimum of 18 and a maximum of 41. Work out the range.
- 18th July 1983Write the recurring decimal 0.7777... as a fraction in its simplest form.
- 19th July 1983Make x the subject of y = 6x^2 - 12.
- 20th July 1983A block has volume 75 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 21st July 1983In triangle ABC, angle A is 41°, angle B is 92° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd July 19831 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1983A box plot has minimum 6, lower quartile 13, median 17, upper quartile 26 and maximum 34. Work out the interquartile range.
- 24th July 1983A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 25th July 1983Factorise x^2 - 9.
- 26th July 1983x : y = 4 : 9. Write y in terms of x.
- 27th July 1983A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 28th July 198322 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1983A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 30th July 1983A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st July 1983A region is defined by y <= x - 8. Should the boundary line be solid or dashed, and why?