Daily Practice · Higher
March 1984 5-a-day
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The batch download puts all 5 tiers' March 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1984A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 2nd March 1984Work out 81^(3/2).
- 3rd March 1984For the curve y = 70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 4th March 1984y is inversely proportional to x. When x = 4, y = 40. Work out y when x = 10.
- 5th March 1984A, 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.
- 6th March 19847 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 1984Four classes in order have frequencies 5, 9, 11, 3. Write down the cumulative frequency at the end of the third class.
- 8th March 1984Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 9th March 1984Expand and simplify (x + 1)(x + 4)(x - 3).
- 10th March 1984y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 6.
- 11th March 1984A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 12th March 198418 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 198440 beetles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 14th March 1984A meal deal has 6 mains, 6 sides and 2 drinks. How many different meals are possible?
- 15th March 1984Make x the subject of y = 2x^2 - 3.
- 16th March 1984y is directly proportional to x. When x = 4, y = 24. Work out y when x = 2.
- 17th March 1984In triangle ABC, angle A is 60°, angle B is 33° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th March 19845 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 1984A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 20th March 1984A mass is 270 kg, correct to the nearest 10. Write down the lower bound.
- 21st March 1984Factorise x^2 - 4.
- 22nd March 1984A town's population is 24000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 23rd March 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.
- 24th March 198413 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 1984A box plot has a minimum of 6 and a maximum of 45. Work out the range.
- 26th March 1984Write 5^-2 as a fraction.
- 27th March 1984A region is defined by y < 4x + 6. Should the boundary line be solid or dashed, and why?
- 28th March 1984A block has volume 90 cm^3 and density 11 g/cm^3. Work out its mass.
- 29th March 1984The point (5, 0) is enlarged by scale factor -3 about the centre (0, 0). Write down the coordinates of the image.
- 30th March 19843 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 1984A box plot has minimum 12, lower quartile 17, median 27, upper quartile 35 and maximum 43. Work out the interquartile range.