Daily Practice · Higher
November 2013 - Higher 5-a-day
Every Higher sheet published in November 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' November 2013 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2013A meal deal has 4 mains, 8 sides and 2 drinks. How many different meals are possible?
- 2nd November 2013Work out the equation of the line parallel to y = -4x - 3 that passes through (6, -15).
- 3rd November 2013y is inversely proportional to x. When x = 4, y = 2. Work out y when x = 2.
- 4th November 2013A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 5th November 20132 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th November 2013Four classes in order have frequencies 4, 9, 4, 10. Write down the cumulative frequency at the end of the third class.
- 7th November 2013A mass is 18.5 kg, correct to 1 decimal place. Write down the upper bound.
- 8th November 2013A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 9th November 2013y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 2.
- 10th November 2013ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 11th November 201319 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th November 201325 fish are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 13th November 2013Write 3^-3 as a fraction.
- 14th November 2013For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 15th November 2013y is directly proportional to x. When x = 9, y = 81. Work out y when x = 14.
- 16th November 2013A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 17th November 20135 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th November 2013A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th November 2013Work out (5 x 10^6) x (2 x 10^-6). Give your answer in standard form.
- 20th November 2013Expand and simplify (x - 3)(x - 3)(x + 1).
- 21st November 2013A town's population is 27000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd November 2013A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd November 201315 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th November 2013A box plot has a minimum of 2 and a maximum of 44. Work out the range.
- 25th November 2013Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 26th November 2013Make x the subject of y = 9x^2 - 3.
- 27th November 2013A block has volume 15 cm^3 and density 3 g/cm^3. Work out its mass.
- 28th November 2013In triangle ABC, angle A is 58°, angle B is 54° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th November 20131 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th November 2013A box plot has minimum 13, lower quartile 20, median 27, upper quartile 37 and maximum 46. Work out the interquartile range.