Daily Practice · Higher
August 2001 - Higher 5-a-day
Every Higher sheet published in August 2001, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' August 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2001A region is defined by y <= 3x + 6. Should the boundary line be solid or dashed, and why?
- 2nd August 2001A town's population is 10500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 3rd August 2001The point (-4, 3) is enlarged by scale factor -1 about the centre (-1, -2). Write down the coordinates of the image.
- 4th August 20013 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th August 2001A box plot has a minimum of 17 and a maximum of 31. Work out the range.
- 6th August 2001Work out (4 x 10^5) x (7 x 10^-2). Give your answer in standard form.
- 7th August 2001Factorise x^2 + 7x + 12.
- 8th August 2001A block has volume 95 cm^3 and density 3 g/cm^3. Work out its mass.
- 9th August 2001Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 10th August 200119 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th August 2001A box plot has minimum 13, lower quartile 16, median 22, upper quartile 24 and maximum 32. Work out the interquartile range.
- 12th August 2001Write the recurring decimal 0.6868... as a fraction in its simplest form.
- 13th August 2001Work out the equation of the line parallel to y = -2x - 8 that passes through (2, 2).
- 14th August 2001x : y = 3 : 5. Write y in terms of x.
- 15th August 2001A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 16th August 20014 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th August 2001A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 18th August 2001A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 19th August 2001A line has equation y = 4x + 5. Work out the gradient of any line perpendicular to it.
- 20th August 2001A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 21st August 2001ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 22nd August 200118 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd August 2001A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 24th August 2001A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th August 2001For the curve y = 1/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 26th August 2001y is inversely proportional to x. When x = 3, y = 2. Work out y when x = 2.
- 27th August 2001A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 28th August 20016 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th August 2001Four classes in order have frequencies 6, 10, 9, 7. Write down the cumulative frequency at the end of the third class.
- 30th August 2001Work out (18 x 10^6) / (2 x 10^5). Give your answer in standard form.
- 31st August 2001Expand and simplify (x - 1)(x + 2)(x - 2).