Daily Practice · Higher
August 2013 - Higher 5-a-day
Every Higher sheet published in August 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2013 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 20132 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd August 2013A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 3rd August 2013Work out (32 x 10^10) / (4 x 10^3). Give your answer in standard form.
- 4th August 2013A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 5th August 2013A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 6th August 2013ABCD is a cyclic quadrilateral. Angle ABC is 73°. Work out angle ADC.
- 7th August 201320 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th August 2013A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 9th August 2013Write the recurring decimal 0.444... as a fraction in its simplest form.
- 10th August 2013For the curve y = -48/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 11th August 2013y is inversely proportional to x. When x = 3, y = 36. Work out y when x = 12.
- 12th August 2013A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 13th August 20133 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th August 2013Four classes in order have frequencies 5, 11, 11, 3. Write down the cumulative frequency at the end of the third class.
- 15th August 2013Work out 216^(2/3).
- 16th August 2013Expand and simplify (x + 2)(x - 4)(x - 4).
- 17th August 2013y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 4.
- 18th August 2013A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 19th August 201314 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th August 201315 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 21st August 2013Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 22nd August 2013Make x the subject of y = 4x^2 - 3.
- 23rd August 2013y is directly proportional to x. When x = 8, y = 96. Work out y when x = 6.
- 24th August 2013In triangle ABC, angle A is 51°, angle B is 43° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th August 20131 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th August 2013A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th August 2013A meal deal has 8 mains, 3 sides and 3 drinks. How many different meals are possible?
- 28th August 2013Factorise x^2 - 100.
- 29th August 2013A town's population is 8500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 30th August 2013A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 31st August 201313 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.