Daily Practice · Higher
January 1984 5-a-day
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The batch download puts all 5 tiers' January 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1984A box plot has a minimum of 19 and a maximum of 57. Work out the range.
- 2nd January 1984Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 3rd January 1984Work out the equation of the line parallel to y = 3x - 6 that passes through (4, 4).
- 4th January 1984A block has volume 15 cm^3 and density 8 g/cm^3. Work out its mass.
- 5th January 1984A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 6th January 19842 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th January 1984A box plot has minimum 14, lower quartile 19, median 22, upper quartile 32 and maximum 37. Work out the interquartile range.
- 8th January 1984A meal deal has 9 mains, 7 sides and 5 drinks. How many different meals are possible?
- 9th January 1984A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 10th January 1984x : y = 2 : 3. Write y in terms of x.
- 11th January 1984ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 12th January 198425 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th January 1984A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 14th January 1984A mass is 30 kg, correct to the nearest whole number. Write down the lower bound.
- 15th January 1984For the curve y = -32/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 16th January 1984A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th January 1984A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 18th January 19842 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th January 1984A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 20th January 1984Write 9^-3 as a fraction.
- 21st January 1984Expand and simplify (x + 3)(x + 2)(x + 1).
- 22nd January 1984y is inversely proportional to x. When x = 7, y = 15. Work out y when x = 3.
- 23rd January 1984A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 24th January 198418 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th January 1984Four classes in order have frequencies 12, 3, 10, 10. Write down the cumulative frequency at the end of the third class.
- 26th January 1984Work out (6 x 10^3) x (6 x 10^-5). Give your answer in standard form.
- 27th January 1984Make x the subject of y = 3x^2 - 3.
- 28th January 1984y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 8.
- 29th January 1984In triangle ABC, angle A is 58°, angle B is 77° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th January 19844 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st January 198420 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.