Daily Practice · Higher
February 2004 - Higher 5-a-day
Every Higher sheet published in February 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 2004 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2004The point (5, -6) is enlarged by scale factor -1 about the centre (1, 0). Write down the coordinates of the image.
- 2nd February 20041 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 200450 newts are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 4th February 2004A mass is 64 kg, correct to the nearest whole number. Write down the lower bound.
- 5th February 2004Factorise x^2 + 12x + 32.
- 6th February 2004y is directly proportional to x. When x = 4, y = 24. Work out y when x = 15.
- 7th February 2004Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 8th February 200425 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 2004A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th February 2004Write 9^-2 as a fraction.
- 11th February 2004Work out the equation of the line parallel to y = 3x - 3 that passes through (1, -8).
- 12th February 2004A town's population is 36500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 13th February 2004A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 14th February 20044 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 2004A box plot has a minimum of 13 and a maximum of 46. Work out the range.
- 16th February 2004Work out (8 x 10^3) x (3 x 10^2). Give your answer in standard form.
- 17th February 2004A line has equation y = 4x + 1. Work out the gradient of any line perpendicular to it.
- 18th February 2004A block has volume 180 cm^3 and density 8 g/cm^3. Work out its mass.
- 19th February 2004ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 20th February 200414 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 2004A box plot has minimum 11, lower quartile 16, median 25, upper quartile 33 and maximum 37. Work out the interquartile range.
- 22nd February 2004Write the recurring decimal 0.5858... as a fraction in its simplest form.
- 23rd February 2004For the curve y = 7/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 24th February 2004x : y = 4 : 7. Write y in terms of x.
- 25th February 2004A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 26th February 20042 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 2004A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 28th February 2004A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 29th February 2004Expand and simplify (x - 4)(x - 1)(x - 2).