Daily Practice · Higher
August 2011 - Higher 5-a-day
Every Higher sheet published in August 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2011A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd August 2011A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd August 2011Factorise x^2 - 11x + 24.
- 4th August 2011A town's population is 21000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 5th August 2011Two 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.
- 6th August 201115 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 2011A box plot has a minimum of 9 and a maximum of 26. Work out the range.
- 8th August 2011Work out (72 x 10^8) / (9 x 10^4). Give your answer in standard form.
- 9th August 2011Work out the equation of the line parallel to y = -5x + 2 that passes through (1, -7).
- 10th August 2011A block has volume 85 cm^3 and density 4 g/cm^3. Work out its mass.
- 11th August 2011A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 12th August 20112 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 2011A box plot has minimum 1, lower quartile 3, median 10, upper quartile 20 and maximum 22. Work out the interquartile range.
- 14th August 2011Write the recurring decimal 0.666... as a fraction in its simplest form.
- 15th August 2011A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 16th August 2011x : y = 2 : 3. Write y in terms of x.
- 17th August 2011ABCD is a cyclic quadrilateral. Angle ABC is 66°. Work out angle ADC.
- 18th August 201126 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 2011A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th August 2011Work out 8^(2/3).
- 21st August 2011For the curve y = -40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 22nd August 2011A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 23rd August 2011A, B and C are points on a circle with centre O. Angle AOC is 104°. Work out angle ABC, where B is on the major arc.
- 24th August 20112 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 2011A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 26th August 2011Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 27th August 2011Expand and simplify (x + 5)(x - 1)(x - 1).
- 28th August 2011y is inversely proportional to x. When x = 2, y = 8. Work out y when x = 4.
- 29th August 2011A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 30th August 201124 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 2011Four classes in order have frequencies 7, 10, 7, 6. Write down the cumulative frequency at the end of the third class.