Daily Practice · Higher
December 2012 - Higher 5-a-day
Every Higher sheet published in December 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2012 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2012Work out the equation of the line parallel to y = 3x + 2 that passes through (5, 21).
- 2nd December 2012y is inversely proportional to x. When x = 8, y = 8. Work out y when x = 2.
- 3rd December 2012A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 4th December 20124 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 2012Four classes in order have frequencies 10, 12, 6, 11. Write down the cumulative frequency at the end of the third class.
- 6th December 2012A meal deal has 5 mains, 3 sides and 4 drinks. How many different meals are possible?
- 7th December 2012A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 8th December 2012y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 6.
- 9th December 2012ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 10th December 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.
- 11th December 201230 fish are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 12th December 2012A mass is 17 kg, correct to 1 decimal place. Write down the lower bound.
- 13th December 2012For the curve y = -48/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 14th December 2012y is directly proportional to x. When x = 8, y = 80. Work out y when x = 10.
- 15th December 2012A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 16th December 20126 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 2012A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th December 2012Write 7^-1 as a fraction.
- 19th December 2012Expand and simplify (x - 1)(x - 4)(x - 4).
- 20th December 2012A town's population is 2500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 21st December 2012A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd December 201218 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 2012A box plot has a minimum of 5 and a maximum of 59. Work out the range.
- 24th December 2012Work out (8 x 10^8) x (6 x 10^2). Give your answer in standard form.
- 25th December 2012Make x the subject of y = 5x^2 - 6.
- 26th December 2012A block has volume 160 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 27th December 2012In triangle ABC, angle A is 45°, angle B is 80° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th December 20122 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 2012A box plot has minimum 14, lower quartile 24, median 32, upper quartile 36 and maximum 43. Work out the interquartile range.
- 30th December 2012Write the recurring decimal 0.7474... as a fraction in its simplest form.
- 31st December 2012Factorise x^2 - 25.