Daily Practice · Higher
February 1963 5-a-day
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The batch download puts all 5 tiers' February 1963 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 19634 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd February 1963A box plot has minimum 5, lower quartile 14, median 22, upper quartile 30 and maximum 32. Work out the interquartile range.
- 3rd February 1963Write 7^-2 as a fraction.
- 4th February 1963Factorise x^2 + 11x + 18.
- 5th February 1963x : y = 3 : 4. Write y in terms of x.
- 6th February 1963Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 128 cm^3. Work out the volume of the smaller.
- 7th February 19639 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th February 1963A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 9th February 1963Work out (8 x 10^4) x (9 x 10^5). Give your answer in standard form.
- 10th February 1963Work out the equation of the line parallel to y = -3x + 8 that passes through (5, -7).
- 11th February 1963A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th February 1963A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 13th February 19632 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th February 1963A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 15th February 1963Write the recurring decimal 0.3737... as a fraction in its simplest form.
- 16th February 1963A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 17th February 1963y is inversely proportional to x. When x = 6, y = 15. Work out y when x = 5.
- 18th February 1963ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 19th February 196318 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th February 1963Four classes in order have frequencies 3, 3, 12, 7. Write down the cumulative frequency at the end of the third class.
- 21st February 1963A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 22nd February 1963For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 23rd February 1963y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 2.
- 24th February 1963A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 25th February 19633 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th February 196325 beetles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 27th February 1963A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th February 1963Expand and simplify (x - 1)(x + 5)(x + 2).