Daily Practice · Higher
June 1984 5-a-day
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The batch download puts all 5 tiers' June 1984 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1984A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 2nd June 1984y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 9.
- 3rd June 1984ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.
- 4th June 198417 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 198460 newts are marked and released. Later 64 are caught, of which 8 are marked. Estimate the population.
- 6th June 1984Work out (4 x 10^4) x (2 x 10^3). Give your answer in standard form.
- 7th June 1984For the curve y = -14/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 8th June 1984y is directly proportional to x. When x = 8, y = 88. Work out y when x = 13.
- 9th June 1984A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 10th June 19842 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 1984A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th June 1984Write the recurring decimal 0.9797... as a fraction in its simplest form.
- 13th June 1984Expand and simplify (x - 4)(x + 5)(x + 3).
- 14th June 1984A town's population is 20000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 15th June 1984A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 16th June 198414 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 1984A box plot has a minimum of 15 and a maximum of 50. Work out the range.
- 18th June 1984A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 19th June 1984Make x the subject of y = 5x^2 - 12.
- 20th June 1984A block has volume 165 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st June 1984In triangle ABC, angle A is 58°, angle B is 82° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd June 19842 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 1984A box plot has minimum 13, lower quartile 17, median 27, upper quartile 35 and maximum 39. Work out the interquartile range.
- 24th June 1984A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th June 1984Factorise x^2 - 121.
- 26th June 1984x : y = 5 : 7. Write y in terms of x.
- 27th June 1984A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 28th June 198421 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 1984A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 30th June 1984Work out (40 x 10^6) / (5 x 10^4). Give your answer in standard form.