Daily Practice · Higher
November 1965 5-a-day
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The batch download puts all 5 tiers' November 1965 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1965Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 2nd November 1965A region is defined by y < 5x - 1. Should the boundary line be solid or dashed, and why?
- 3rd November 1965A block has volume 45 cm^3 and density 11 g/cm^3. Work out its mass.
- 4th November 1965The point (2, -6) is enlarged by scale factor -2 about the centre (-1, -3). Write down the coordinates of the image.
- 5th November 19653 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th November 1965A box plot has minimum 9, lower quartile 17, median 22, upper quartile 31 and maximum 38. Work out the interquartile range.
- 7th November 1965A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 8th November 1965Factorise x^2 - x - 72.
- 9th November 1965x : y = 2 : 3. Write y in terms of x.
- 10th November 1965Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2496 cm^3. Work out the volume of the smaller.
- 11th November 196520 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th November 1965A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 13th November 1965A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th November 1965Work out the equation of the line parallel to y = 3x - 2 that passes through (4, 17).
- 15th November 1965A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th November 1965A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 17th November 19652 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th November 1965A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 19th November 1965Work out (28 x 10^8) / (7 x 10^5). Give your answer in standard form.
- 20th November 1965A line has equation y = -2x + 7. Work out the gradient of any line perpendicular to it.
- 21st November 1965y is inversely proportional to x. When x = 3, y = 48. Work out y when x = 12.
- 22nd November 1965ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 23rd November 196521 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th November 1965Four classes in order have frequencies 11, 7, 11, 8. Write down the cumulative frequency at the end of the third class.
- 25th November 1965Write the recurring decimal 0.666... as a fraction in its simplest form.
- 26th November 1965For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 27th November 1965y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 7.
- 28th November 1965A, B and C are points on a circle with centre O. Angle AOC is 138°. Work out angle ABC, where B is on the major arc.
- 29th November 19655 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th November 196560 newts are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.