Daily Practice · Higher
August 2009 - Higher 5-a-day
Every Higher sheet published in August 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2009Factorise x^2 - 16.
- 2nd August 2009y is inversely proportional to x. When x = 2, y = 25. Work out y when x = 5.
- 3rd August 2009A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 4th August 200925 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th August 2009Four classes in order have frequencies 3, 3, 9, 5. Write down the cumulative frequency at the end of the third class.
- 6th August 2009A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th August 2009A region is defined by y < x - 3. Should the boundary line be solid or dashed, and why?
- 8th August 2009y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 3.
- 9th August 2009The point (2, 5) is enlarged by scale factor -2 about the centre (4, -4). Write down the coordinates of the image.
- 10th August 20092 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th August 200950 fish are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 12th August 2009Work out (24 x 10^11) / (3 x 10^5). Give your answer in standard form.
- 13th August 2009Factorise x^2 - 4x - 21.
- 14th August 2009y is directly proportional to x. When x = 4, y = 20. Work out y when x = 11.
- 15th August 2009Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 80 cm^3. Work out the volume of the smaller.
- 16th August 200915 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th August 2009A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th August 2009Write the recurring decimal 0.555... as a fraction in its simplest form.
- 19th August 2009Work out the equation of the line parallel to y = -3x - 2 that passes through (4, -20).
- 20th August 2009A town's population is 36000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 21st August 2009A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 22nd August 20092 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd August 2009A box plot has a minimum of 11 and a maximum of 67. Work out the range.
- 24th August 2009Work out 36^(3/2).
- 25th August 2009A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 26th August 2009A block has volume 40 cm^3 and density 11 g/cm^3. Work out its mass.
- 27th August 2009ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 28th August 200922 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th August 2009A box plot has minimum 6, lower quartile 13, median 16, upper quartile 18 and maximum 21. Work out the interquartile range.
- 30th August 2009Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 31st August 2009For the curve y = -14/x, work out y when x = 2, and write down the equation of its vertical asymptote.