Daily Practice · Higher
August 2006 - Higher 5-a-day
Every Higher sheet published in August 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2006 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2006The point (-1, 1) is enlarged by scale factor -2 about the centre (-4, 1). Write down the coordinates of the image.
- 2nd August 20064 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd August 2006A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 4th August 2006Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 5th August 2006Factorise x^2 - 9x + 14.
- 6th August 2006y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 2.
- 7th August 2006Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 168 cm^3. Work out the volume of the smaller.
- 8th August 200620 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th August 2006Four classes in order have frequencies 4, 11, 9, 5. Write down the cumulative frequency at the end of the third class.
- 10th August 2006A meal deal has 7 mains, 9 sides and 4 drinks. How many different meals are possible?
- 11th August 2006Work out the equation of the line parallel to y = -3x + 2 that passes through (6, -16).
- 12th August 2006y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 8.
- 13th August 2006A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 14th August 20065 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th August 200660 voles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 16th August 2006A mass is 42 kg, correct to the nearest whole number. Write down the lower bound.
- 17th August 2006A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 18th August 2006y is directly proportional to x. When x = 2, y = 12. Work out y when x = 7.
- 19th August 2006ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 20th August 200617 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st August 2006A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd August 2006Write 4^-3 as a fraction.
- 23rd August 2006For the curve y = -10/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 24th August 2006A town's population is 24500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 25th August 2006A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 26th August 20063 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th August 2006A box plot has a minimum of 3 and a maximum of 52. Work out the range.
- 28th August 2006Work out (4 x 10^8) x (6 x 10^-4). Give your answer in standard form.
- 29th August 2006Expand and simplify (x + 3)(x - 4)(x - 1).
- 30th August 2006A block has volume 180 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 31st August 2006A cone has base radius 3 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.