Daily Practice · Higher
September 1998 - Higher 5-a-day
Every Higher sheet published in September 1998, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' September 1998 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1998
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 19981 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd September 1998Four classes in order have frequencies 10, 9, 8, 5. Write down the cumulative frequency at the end of the third class.
- 3rd September 1998A mass is 39 kg, correct to the nearest whole number. Write down the lower bound.
- 4th September 1998Factorise x^2 - 16.
- 5th September 1998y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 9.
- 6th September 1998A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 7th September 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.
- 8th September 199850 voles are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 9th September 1998Write 4^-3 as a fraction.
- 10th September 1998A region is defined by y <= 2x + 4. Should the boundary line be solid or dashed, and why?
- 11th September 1998y is directly proportional to x. When x = 5, y = 40. Work out y when x = 13.
- 12th September 1998The point (-3, 2) is enlarged by scale factor -3 about the centre (4, -1). Write down the coordinates of the image.
- 13th September 19983 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th September 1998A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th September 1998Work out (3 x 10^8) x (4 x 10^4). Give your answer in standard form.
- 16th September 1998Factorise x^2 - 11x + 28.
- 17th September 1998A town's population is 24500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 18th September 1998Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1600 cm^3. Work out the volume of the smaller.
- 19th September 199825 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th September 1998A box plot has a minimum of 18 and a maximum of 61. Work out the range.
- 21st September 1998Write the recurring decimal 0.2727... as a fraction in its simplest form.
- 22nd September 1998Work out the equation of the line parallel to y = 3x + 6 that passes through (2, 17).
- 23rd September 1998A block has volume 40 cm^3 and density 4 g/cm^3. Work out its mass.
- 24th September 1998A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 25th September 19985 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th September 1998A box plot has minimum 8, lower quartile 18, median 26, upper quartile 34 and maximum 42. Work out the interquartile range.
- 27th September 1998A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 28th September 1998A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 29th September 1998x : y = 5 : 9. Write y in terms of x.
- 30th September 1998ABCD is a cyclic quadrilateral. Angle ABC is 121°. Work out angle ADC.