Daily Practice · Higher
September 2011 - Higher 5-a-day
Every Higher sheet published in September 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2011 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2011A meal deal has 8 mains, 5 sides and 3 drinks. How many different meals are possible?
- 2nd September 2011Make x the subject of y = 2x^2 - 9.
- 3rd September 2011y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 6.
- 4th September 2011In triangle ABC, angle A is 61°, angle B is 85° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th September 20116 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 201135 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 7th September 2011A mass is 370 kg, correct to the nearest 10. Write down the upper bound.
- 8th September 2011Factorise x^2 - 81.
- 9th September 2011y is directly proportional to x. When x = 7, y = 63. Work out y when x = 6.
- 10th September 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.
- 11th September 201130 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 2011A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th September 2011Write 2^-2 as a fraction.
- 14th September 2011A region is defined by y < 2x - 5. Should the boundary line be solid or dashed, and why?
- 15th September 2011A town's population is 39500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 16th September 2011The point (2, -3) is enlarged by scale factor -3 about the centre (3, -1). Write down the coordinates of the image.
- 17th September 20113 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 2011A box plot has a minimum of 14 and a maximum of 71. Work out the range.
- 19th September 2011Work out (6 x 10^3) x (2 x 10^-5). Give your answer in standard form.
- 20th September 2011Factorise x^2 - 3x + 2.
- 21st September 2011A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 22nd September 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.
- 23rd September 201123 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 2011A box plot has minimum 15, lower quartile 18, median 28, upper quartile 35 and maximum 44. Work out the interquartile range.
- 25th September 2011Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 26th September 2011Work out the equation of the line parallel to y = -2x + 5 that passes through (3, 6).
- 27th September 2011x : y = 7 : 9. Write y in terms of x.
- 28th September 2011A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 29th September 20112 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 2011A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.