Daily Practice · Higher
February 2011 - Higher 5-a-day
Every Higher sheet published in February 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2011 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 20114 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd February 2011Four classes in order have frequencies 10, 10, 5, 3. Write down the cumulative frequency at the end of the third class.
- 3rd February 2011Work out 16^(3/2).
- 4th February 2011A line has equation y = -2x + 2. Work out the gradient of any line perpendicular to it.
- 5th February 2011y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 7.
- 6th February 2011ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 7th February 201113 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th February 201140 fish are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 9th February 2011Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 10th February 2011For the curve y = 6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 11th February 2011y is directly proportional to x. When x = 7, y = 56. Work out y when x = 14.
- 12th February 2011A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 13th February 20114 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th February 2011A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th February 2011A meal deal has 8 mains, 9 sides and 4 drinks. How many different meals are possible?
- 16th February 2011Expand and simplify (x + 2)(x - 5)(x - 1).
- 17th February 2011A town's population is 5500 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 18th February 2011A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 19th February 201120 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th February 2011A box plot has a minimum of 15 and a maximum of 40. Work out the range.
- 21st February 2011A mass is 29.4 kg, correct to 1 decimal place. Write down the upper bound.
- 22nd February 2011Make x the subject of y = 9x^2 - 3.
- 23rd February 2011A block has volume 90 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 24th February 2011In triangle ABC, angle A is 78°, angle B is 35° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th February 20113 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th February 2011A box plot has minimum 14, lower quartile 16, median 23, upper quartile 28 and maximum 35. Work out the interquartile range.
- 27th February 2011Write 4^-2 as a fraction.
- 28th February 2011Factorise x^2 - 9.