Daily Practice · Higher
February 1983 5-a-day
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The batch download puts all 5 tiers' February 1983 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1983Work out the equation of the line parallel to y = -2x - 7 that passes through (5, 0).
- 2nd February 1983A block has volume 10 cm^3 and density 3 g/cm^3. Work out its mass.
- 3rd February 1983A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 4th February 19833 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th February 1983A box plot has minimum 2, lower quartile 11, median 20, upper quartile 30 and maximum 34. Work out the interquartile range.
- 6th February 1983Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 7th February 1983A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 8th February 1983x : y = 5 : 7. Write y in terms of x.
- 9th February 1983ABCD is a cyclic quadrilateral. Angle ABC is 96°. Work out angle ADC.
- 10th February 198324 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th February 1983A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th February 1983A meal deal has 3 mains, 9 sides and 2 drinks. How many different meals are possible?
- 13th February 1983For the curve y = -12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 14th February 1983A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th February 1983A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 16th February 19833 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th February 1983A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 18th February 1983A mass is 580 kg, correct to the nearest 10. Write down the lower bound.
- 19th February 1983Expand and simplify (x - 3)(x + 5)(x - 4).
- 20th February 1983y is inversely proportional to x. When x = 3, y = 60. Work out y when x = 10.
- 21st February 1983A cone has base radius 5 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd February 198320 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd February 1983Four classes in order have frequencies 8, 7, 3, 8. Write down the cumulative frequency at the end of the third class.
- 24th February 1983Write 2^-2 as a fraction.
- 25th February 1983Make x the subject of y = 5x^2 - 4.
- 26th February 1983y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 6.
- 27th February 1983In triangle ABC, angle A is 34°, angle B is 76° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th February 19832 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.