Daily Practice · Higher
September 2003 - Higher 5-a-day
Every Higher sheet published in September 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' September 2003 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2003Write the recurring decimal 0.666... as a fraction in its simplest form.
- 2nd September 2003Factorise x^2 - 100.
- 3rd September 2003A block has volume 50 cm^3 and density 3 g/cm^3. Work out its mass.
- 4th September 2003A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 5th September 200327 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 2003A box plot has minimum 10, lower quartile 14, median 19, upper quartile 26 and maximum 28. Work out the interquartile range.
- 7th September 2003Work out 81^(3/2).
- 8th September 2003A region is defined by y < 2x + 4. Should the boundary line be solid or dashed, and why?
- 9th September 2003x : y = 2 : 5. Write y in terms of x.
- 10th September 2003The point (-3, 3) is enlarged by scale factor -3 about the centre (-1, 1). Write down the coordinates of the image.
- 11th September 20033 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 2003A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 13th September 2003Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 14th September 2003Factorise x^2 - 15x + 56.
- 15th September 2003A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th September 2003Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 17th September 200318 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 2003A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 19th September 2003A meal deal has 4 mains, 5 sides and 5 drinks. How many different meals are possible?
- 20th September 2003Work out the equation of the line parallel to y = 5x + 1 that passes through (4, 23).
- 21st September 2003y is inversely proportional to x. When x = 5, y = 18. Work out y when x = 6.
- 22nd September 2003A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 23rd September 20032 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 2003Four classes in order have frequencies 9, 10, 10, 6. Write down the cumulative frequency at the end of the third class.
- 25th September 2003A mass is 440 kg, correct to the nearest 10. Write down the upper bound.
- 26th September 2003A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 27th September 2003y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 8.
- 28th September 2003ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 29th September 200317 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 200335 voles are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.