Daily Practice · Higher
November 1998 - Higher 5-a-day
Every Higher sheet published in November 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' November 1998 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1998A box plot has a minimum of 9 and a maximum of 63. Work out the range.
- 2nd November 1998A meal deal has 8 mains, 4 sides and 2 drinks. How many different meals are possible?
- 3rd November 1998Factorise x^2 + 8x - 9.
- 4th November 1998A block has volume 20 cm^3 and density 8 g/cm^3. Work out its mass.
- 5th November 1998Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 264 cm^3. Work out the volume of the smaller.
- 6th November 199817 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th November 1998A box plot has minimum 6, lower quartile 14, median 18, upper quartile 28 and maximum 38. Work out the interquartile range.
- 8th November 1998A mass is 11.9 kg, correct to 1 decimal place. Write down the upper bound.
- 9th November 1998Work out the equation of the line parallel to y = 5x + 4 that passes through (3, 24).
- 10th November 1998x : y = 2 : 3. Write y in terms of x.
- 11th November 1998A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 12th November 19981 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th November 1998A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 14th November 1998Write 5^-2 as a fraction.
- 15th November 1998A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 16th November 1998A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th November 1998ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 18th November 199820 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th November 1998A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 20th November 1998Work out (7 x 10^5) x (2 x 10^4). Give your answer in standard form.
- 21st November 1998For the curve y = 6/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 22nd November 1998y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 4.
- 23rd November 1998A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 24th November 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th November 1998Four classes in order have frequencies 3, 9, 7, 10. Write down the cumulative frequency at the end of the third class.
- 26th November 1998Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 27th November 1998Expand and simplify (x - 1)(x + 2)(x - 3).
- 28th November 1998y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 5.
- 29th November 1998A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 30th November 199819 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.