Daily Practice · Higher
August 2010 - Higher 5-a-day
Every Higher sheet published in August 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2010A meal deal has 6 mains, 4 sides and 2 drinks. How many different meals are possible?
- 2nd August 2010For the curve y = -8/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 3rd August 2010x : y = 4 : 5. Write y in terms of x.
- 4th August 2010A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.
- 5th August 20105 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th August 2010A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 7th August 2010A mass is 330 kg, correct to the nearest 10. Write down the lower bound.
- 8th August 2010Expand and simplify (x + 3)(x - 3)(x + 4).
- 9th August 2010A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 10th August 2010A cone has base radius 8 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 11th August 201024 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th August 2010A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 13th August 2010Write 2^-1 as a fraction.
- 14th August 2010Make x the subject of y = 7x^2 - 3.
- 15th August 2010y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 3.
- 16th August 2010In triangle ABC, angle A is 60°, angle B is 58° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th August 20104 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th August 2010Four classes in order have frequencies 10, 11, 11, 9. Write down the cumulative frequency at the end of the third class.
- 19th August 2010Work out (5 x 10^6) x (5 x 10^2). Give your answer in standard form.
- 20th August 2010Factorise x^2 - 100.
- 21st August 2010y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 3.
- 22nd August 2010A 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.
- 23rd August 201021 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th August 201020 fish are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 25th August 2010Write the recurring decimal 0.7070... as a fraction in its simplest form.
- 26th August 2010A region is defined by y <= x - 5. Should the boundary line be solid or dashed, and why?
- 27th August 2010y is directly proportional to x. When x = 4, y = 24. Work out y when x = 5.
- 28th August 2010The point (-3, 1) is enlarged by scale factor -3 about the centre (-4, -3). Write down the coordinates of the image.
- 29th August 20105 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th August 2010A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st August 2010A bill is £888 including VAT at 20%. Work out the amount before VAT.