Daily Practice · Higher
May 1985 5-a-day
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The batch download puts all 5 tiers' May 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1985Four classes in order have frequencies 9, 10, 9, 6. Write down the cumulative frequency at the end of the third class.
- 2nd May 1985Work out (4 x 10^6) x (7 x 10^-3). Give your answer in standard form.
- 3rd May 1985A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 4th May 1985y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 8.
- 5th May 1985ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 6th May 198527 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th May 198545 beetles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
- 8th May 1985Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 9th May 1985For the curve y = 12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 10th May 1985y is directly proportional to x. When x = 7, y = 70. Work out y when x = 4.
- 11th May 1985A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 12th May 19854 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th May 1985A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th May 1985A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 15th May 1985Expand and simplify (x - 4)(x + 3)(x - 3).
- 16th May 1985A town's population is 15000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 17th May 1985A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 18th May 198513 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th May 1985A box plot has a minimum of 10 and a maximum of 57. Work out the range.
- 20th May 1985A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st May 1985Make x the subject of y = 5x^2 - 12.
- 22nd May 1985A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd May 1985In triangle ABC, angle A is 63°, angle B is 80° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th May 19852 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th May 1985A box plot has minimum 11, lower quartile 20, median 25, upper quartile 28 and maximum 38. Work out the interquartile range.
- 26th May 1985Work out (15 x 10^6) / (5 x 10^3). Give your answer in standard form.
- 27th May 1985Factorise x^2 - 64.
- 28th May 1985x : y = 3 : 5. Write y in terms of x.
- 29th May 1985A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 30th May 198521 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st May 1985A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.