Daily Practice · Higher
February 2001 - Higher 5-a-day
Every Higher sheet published in February 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 2001 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2001A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 2nd February 2001Work out the equation of the line parallel to y = -x - 2 that passes through (6, -15).
- 3rd February 2001y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 5.
- 4th February 2001A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 5th February 20014 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 200130 beetles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 7th February 2001A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th February 2001A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 9th February 2001y is directly proportional to x. When x = 5, y = 40. Work out y when x = 11.
- 10th February 2001ABCD is a cyclic quadrilateral. Angle ABC is 71°. Work out angle ADC.
- 11th February 200130 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 2001A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th February 2001Work out (14 x 10^12) / (7 x 10^4). Give your answer in standard form.
- 14th February 2001For the curve y = -50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 15th February 2001A town's population is 37000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 16th February 2001A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 17th February 20011 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 2001A box plot has a minimum of 7 and a maximum of 55. Work out the range.
- 19th February 2001Write the recurring decimal 0.888... as a fraction in its simplest form.
- 20th February 2001Expand and simplify (x + 1)(x + 1)(x - 4).
- 21st February 2001A block has volume 50 cm^3 and density 11 g/cm^3. Work out its mass.
- 22nd February 2001A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd February 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.
- 24th February 2001A box plot has minimum 9, lower quartile 15, median 21, upper quartile 31 and maximum 35. Work out the interquartile range.
- 25th February 2001Work out 100^(3/2).
- 26th February 2001Make x the subject of y = 5x^2 - 8.
- 27th February 2001x : y = 5 : 8. Write y in terms of x.
- 28th February 2001In triangle ABC, angle A is 76°, angle B is 42° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.