Daily Practice · Higher
February 1996 - Higher 5-a-day
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The batch download puts all 5 tiers' February 1996 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1996Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 768 cm^3. Work out the volume of the smaller.
- 2nd February 199614 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 1996A box plot has minimum 1, lower quartile 4, median 10, upper quartile 15 and maximum 22. Work out the interquartile range.
- 4th February 1996Work out 81^(3/2).
- 5th February 1996Work out the equation of the line parallel to y = 3x + 1 that passes through (2, 14).
- 6th February 1996x : y = 2 : 3. Write y in terms of x.
- 7th February 1996A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 8th February 19961 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 1996A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 10th February 1996Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 11th February 1996A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 12th February 1996A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 13th February 1996ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 14th February 199615 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 1996A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 16th February 1996A meal deal has 5 mains, 4 sides and 4 drinks. How many different meals are possible?
- 17th February 1996For the curve y = 12/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 18th February 1996y is inversely proportional to x. When x = 8, y = 18. Work out y when x = 3.
- 19th February 1996A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 20th February 19964 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 1996Four classes in order have frequencies 8, 8, 5, 7. Write down the cumulative frequency at the end of the third class.
- 22nd February 1996A mass is 13 kg, correct to 1 decimal place. Write down the upper bound.
- 23rd February 1996Expand and simplify (x - 5)(x - 4)(x + 3).
- 24th February 1996y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 6.
- 25th February 1996A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 26th February 199617 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 199655 voles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 28th February 1996Write 3^-2 as a fraction.
- 29th February 1996Make x the subject of y = 4x^2 - 9.