Daily Practice · Higher
August 2012 - Higher 5-a-day
Every Higher sheet published in August 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2012Four classes in order have frequencies 12, 9, 5, 7. Write down the cumulative frequency at the end of the third class.
- 2nd August 2012A mass is 690 kg, correct to the nearest 10. Write down the lower bound.
- 3rd August 2012Make x the subject of y = 3x^2 - 7.
- 4th August 2012y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 6.
- 5th August 2012In triangle ABC, angle A is 39°, angle B is 69° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th August 20121 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 201235 voles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 8th August 2012Write 5^-3 as a fraction.
- 9th August 2012Factorise x^2 - 121.
- 10th August 2012y is directly proportional to x. When x = 8, y = 64. Work out y when x = 15.
- 11th August 2012A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 12th August 201223 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 2012A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th August 2012Work out (6 x 10^3) x (7 x 10^-4). Give your answer in standard form.
- 15th August 2012A region is defined by y <= 5x - 4. Should the boundary line be solid or dashed, and why?
- 16th August 2012A town's population is 34000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 17th August 2012The point (6, -4) is enlarged by scale factor -1 about the centre (-1, 1). Write down the coordinates of the image.
- 18th August 20123 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 2012A box plot has a minimum of 4 and a maximum of 49. Work out the range.
- 20th August 2012Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 21st August 2012Factorise x^2 - 3x - 4.
- 22nd August 2012A block has volume 130 cm^3 and density 11 g/cm^3. Work out its mass.
- 23rd August 2012Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 448 cm^3. Work out the volume of the smaller.
- 24th August 201223 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 2012A box plot has minimum 5, lower quartile 10, median 16, upper quartile 20 and maximum 26. Work out the interquartile range.
- 26th August 2012A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 27th August 2012Work out the equation of the line parallel to y = -4x + 8 that passes through (3, -23).
- 28th August 2012x : y = 3 : 5. Write y in terms of x.
- 29th August 2012A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 30th August 20122 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 2012A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.