Daily Practice · Higher
September 1984 5-a-day
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The batch download puts all 5 tiers' September 1984 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1984A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 2nd September 19841 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 1984A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th September 1984Work out (54 x 10^10) / (6 x 10^5). Give your answer in standard form.
- 5th September 1984A line has equation y = 5x + 2. Work out the gradient of any line perpendicular to it.
- 6th September 1984A town's population is 2500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 7th September 1984ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 8th September 198413 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 1984A box plot has a minimum of 12 and a maximum of 45. Work out the range.
- 10th September 1984Write the recurring decimal 0.777... as a fraction in its simplest form.
- 11th September 1984For the curve y = 10/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 12th September 1984A block has volume 50 cm^3 and density 8 g/cm^3. Work out its mass.
- 13th September 1984A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 14th September 19842 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 1984A box plot has minimum 8, lower quartile 11, median 19, upper quartile 22 and maximum 26. Work out the interquartile range.
- 16th September 1984Work out 125^(2/3).
- 17th September 1984Expand and simplify (x - 3)(x - 2)(x + 2).
- 18th September 1984x : y = 5 : 9. Write y in terms of x.
- 19th September 1984A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 20th September 198422 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 1984A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 22nd September 1984Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 23rd September 1984Make x the subject of y = 8x^2 - 12.
- 24th September 1984A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 25th September 1984In triangle ABC, angle A is 34°, angle B is 92° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th September 19843 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 1984A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 28th September 1984A meal deal has 7 mains, 6 sides and 5 drinks. How many different meals are possible?
- 29th September 1984Factorise x^2 - 25.
- 30th September 1984y is inversely proportional to x. When x = 7, y = 4. Work out y when x = 2.