Daily Practice · Higher
September 2000 - Higher 5-a-day
Every Higher sheet published in September 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' September 2000 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2000The point (-4, -6) is enlarged by scale factor -3 about the centre (2, -3). Write down the coordinates of the image.
- 2nd September 20001 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd September 2000A box plot has a minimum of 6 and a maximum of 17. Work out the range.
- 4th September 2000Write 2^-2 as a fraction.
- 5th September 2000Factorise x^2 - 3x - 18.
- 6th September 2000A block has volume 195 cm^3 and density 4 g/cm^3. Work out its mass.
- 7th September 2000Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1053 cm^3. Work out the volume of the smaller.
- 8th September 200020 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th September 2000A box plot has minimum 5, lower quartile 13, median 21, upper quartile 25 and maximum 27. Work out the interquartile range.
- 10th September 2000Work out (2 x 10^5) x (7 x 10^-5). Give your answer in standard form.
- 11th September 2000Work out the equation of the line parallel to y = x + 7 that passes through (5, 14).
- 12th September 2000x : y = 3 : 7. Write y in terms of x.
- 13th September 2000A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 14th September 20007 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th September 2000A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 16th September 2000Write the recurring decimal 0.1717... as a fraction in its simplest form.
- 17th September 2000A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 18th September 2000A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th September 2000ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 20th September 200022 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st September 2000A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 22nd September 2000A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 23rd September 2000For the curve y = 10/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 24th September 2000y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 3.
- 25th September 2000A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 26th September 20002 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th September 2000Four classes in order have frequencies 5, 3, 3, 7. Write down the cumulative frequency at the end of the third class.
- 28th September 2000A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th September 2000Expand and simplify (x - 5)(x + 4)(x - 4).
- 30th September 2000y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 2.