Daily Practice · Higher
July 2011 - Higher 5-a-day
Every Higher sheet published in July 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 201132 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 2011A box plot has minimum 1, lower quartile 6, median 8, upper quartile 13 and maximum 21. Work out the interquartile range.
- 3rd July 2011A mass is 14.3 kg, correct to 1 decimal place. Write down the lower bound.
- 4th July 2011For the curve y = 40/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 5th July 2011x : y = 2 : 5. Write y in terms of x.
- 6th July 2011A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 7th July 20113 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 2011A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th July 2011Write 4^-3 as a fraction.
- 10th July 2011Expand and simplify (x - 5)(x - 3)(x - 3).
- 11th July 2011A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 12th July 2011A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 13th July 201111 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 2011A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 15th July 2011Work out (8 x 10^4) x (9 x 10^-4). Give your answer in standard form.
- 16th July 2011Make x the subject of y = 2x^2 - 12.
- 17th July 2011y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 4.
- 18th July 2011In triangle ABC, angle A is 60°, angle B is 81° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th July 20111 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 2011Four classes in order have frequencies 12, 12, 5, 5. Write down the cumulative frequency at the end of the third class.
- 21st July 2011Write the recurring decimal 0.6666... as a fraction in its simplest form.
- 22nd July 2011Factorise x^2 - 25.
- 23rd July 2011y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 8.
- 24th July 2011A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 25th July 201125 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 201160 newts are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
- 27th July 2011A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 28th July 2011A region is defined by y < -4x - 2. Should the boundary line be solid or dashed, and why?
- 29th July 2011y is directly proportional to x. When x = 3, y = 27. Work out y when x = 6.
- 30th July 2011The point (5, -2) is enlarged by scale factor -2 about the centre (0, -1). Write down the coordinates of the image.
- 31st July 20112 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.