Daily Practice · Higher
February 1999 - Higher 5-a-day
Every Higher sheet published in February 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' February 1999 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1999A region is defined by y <= -5x + 6. Should the boundary line be solid or dashed, and why?
- 2nd February 1999x : y = 5 : 7. Write y in terms of x.
- 3rd February 1999The point (3, 0) is enlarged by scale factor -1 about the centre (-1, -2). Write down the coordinates of the image.
- 4th February 19995 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th February 1999A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th February 1999A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 7th February 1999Factorise x^2 + 8x + 12.
- 8th February 1999A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 9th February 1999Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 10th February 199916 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th February 1999A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 12th February 1999A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th February 1999Work out the equation of the line parallel to y = -4x - 3 that passes through (6, -12).
- 14th February 1999y is inversely proportional to x. When x = 8, y = 40. Work out y when x = 10.
- 15th February 1999A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 16th February 19991 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th February 1999Four classes in order have frequencies 11, 5, 6, 3. Write down the cumulative frequency at the end of the third class.
- 18th February 1999Work out (36 x 10^10) / (6 x 10^4). Give your answer in standard form.
- 19th February 1999A line has equation y = -2x + 8. Work out the gradient of any line perpendicular to it.
- 20th February 1999y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 8.
- 21st February 1999ABCD is a cyclic quadrilateral. Angle ABC is 78°. Work out angle ADC.
- 22nd February 199920 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd February 199930 beetles are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 24th February 1999Write the recurring decimal 0.666... as a fraction in its simplest form.
- 25th February 1999For the curve y = -32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 26th February 1999y is directly proportional to x. When x = 9, y = 63. Work out y when x = 15.
- 27th February 1999A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 28th February 19991 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.