Daily Practice · Higher
August 1985 5-a-day
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The batch download puts all 5 tiers' August 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1985Work out the equation of the line parallel to y = 2x - 1 that passes through (3, 3).
- 2nd August 1985y is directly proportional to x. When x = 6, y = 48. Work out y when x = 3.
- 3rd August 1985A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 4th August 19857 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th August 1985A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th August 1985Write the recurring decimal 0.777... as a fraction in its simplest form.
- 7th August 1985A line has equation y = 5x + 9. Work out the gradient of any line perpendicular to it.
- 8th August 1985A town's population is 17500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 9th August 1985ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 10th August 198513 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th August 1985A box plot has a minimum of 3 and a maximum of 35. Work out the range.
- 12th August 1985Work out 27^(2/3).
- 13th August 1985For the curve y = -45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 14th August 1985A block has volume 30 cm^3 and density 8 g/cm^3. Work out its mass.
- 15th August 1985A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
- 16th August 19852 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th August 1985A box plot has minimum 11, lower quartile 21, median 27, upper quartile 32 and maximum 36. Work out the interquartile range.
- 18th August 1985Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 19th August 1985Expand and simplify (x + 4)(x + 3)(x - 1).
- 20th August 1985x : y = 5 : 8. Write y in terms of x.
- 21st August 1985A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd August 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.
- 23rd August 1985A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 24th August 1985A meal deal has 5 mains, 9 sides and 2 drinks. How many different meals are possible?
- 25th August 1985Make x the subject of y = 7x^2 - 4.
- 26th August 1985A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 27th August 1985In triangle ABC, angle A is 39°, angle B is 96° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th August 19856 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th August 1985A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 30th August 1985A mass is 10.2 kg, correct to 1 decimal place. Write down the lower bound.
- 31st August 1985Factorise x^2 - 144.