Daily Practice · Higher
November 1952 5-a-day
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The batch download puts all 5 tiers' November 1952 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 19521 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd November 1952A box plot has a minimum of 10 and a maximum of 68. Work out the range.
- 3rd November 1952A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 4th November 1952Factorise x^2 + 12x + 27.
- 5th November 1952A block has volume 10 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 6th November 1952Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 7th November 195229 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th November 1952A box plot has minimum 12, lower quartile 19, median 28, upper quartile 31 and maximum 37. Work out the interquartile range.
- 9th November 1952A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 10th November 1952Work out the equation of the line parallel to y = -2x - 4 that passes through (4, -12).
- 11th November 1952x : y = 5 : 7. Write y in terms of x.
- 12th November 1952A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 13th November 19522 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th November 1952A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 15th November 1952Work out (24 x 10^6) / (3 x 10^3). Give your answer in standard form.
- 16th November 1952A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 17th November 1952A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 18th November 1952ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 19th November 195226 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th November 1952A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 21st November 1952Write the recurring decimal 0.666... as a fraction in its simplest form.
- 22nd November 1952For the curve y = 100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 23rd November 1952y is inversely proportional to x. When x = 3, y = 15. Work out y when x = 5.
- 24th November 1952A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 25th November 19528 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th November 1952Four classes in order have frequencies 4, 12, 7, 10. Write down the cumulative frequency at the end of the third class.
- 27th November 1952Work out 25^(3/2).
- 28th November 1952Expand and simplify (x + 1)(x - 4)(x - 4).
- 29th November 1952y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 4.
- 30th November 1952A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.