Daily Practice · Higher
November 2001 - Higher 5-a-day
Every Higher sheet published in November 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' November 2001 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2001A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 2nd November 200123 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 November 2001A box plot has minimum 13, lower quartile 21, median 31, upper quartile 35 and maximum 38. Work out the interquartile range.
- 4th November 2001Work out (10 x 10^7) / (5 x 10^2). Give your answer in standard form.
- 5th November 2001A region is defined by y < 4x - 4. Should the boundary line be solid or dashed, and why?
- 6th November 2001x : y = 5 : 9. Write y in terms of x.
- 7th November 2001The point (6, -2) is enlarged by scale factor -3 about the centre (-3, 2). Write down the coordinates of the image.
- 8th November 20012 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th November 2001A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 10th November 2001Write the recurring decimal 0.666... as a fraction in its simplest form.
- 11th November 2001Factorise x^2 - 49.
- 12th November 2001A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 13th November 2001Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.
- 14th November 200115 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 November 2001A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 16th November 2001Work out 25^(3/2).
- 17th November 2001Work out the equation of the line parallel to y = -3x + 9 that passes through (2, -9).
- 18th November 2001y is inversely proportional to x. When x = 6, y = 72. Work out y when x = 12.
- 19th November 2001A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 20th November 20012 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st November 2001Four classes in order have frequencies 10, 10, 4, 12. Write down the cumulative frequency at the end of the third class.
- 22nd November 2001Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 23rd November 2001A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 24th November 2001y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 2.
- 25th November 2001ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 26th November 200116 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 November 200145 fish are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 28th November 2001A meal deal has 5 mains, 3 sides and 2 drinks. How many different meals are possible?
- 29th November 2001For the curve y = -8/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 30th November 2001y is directly proportional to x. When x = 5, y = 35. Work out y when x = 2.