Daily Practice · Higher
February 2016 - Higher 5-a-day
Every Higher sheet published in February 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2016 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2016A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 2nd February 2016A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 3rd February 2016A block has volume 155 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th February 2016ABCD is a cyclic quadrilateral. Angle ABC is 113°. Work out angle ADC.
- 5th February 201622 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th February 2016A box plot has minimum 5, lower quartile 9, median 17, upper quartile 20 and maximum 25. Work out the interquartile range.
- 7th February 2016A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th February 2016For the curve y = -35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 9th February 2016x : y = 3 : 8. Write y in terms of x.
- 10th February 2016A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 11th February 20163 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th February 2016A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 13th February 2016Work out (20 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 14th February 2016Expand and simplify (x - 1)(x - 3)(x - 5).
- 15th February 2016A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th February 2016A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 17th February 201616 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th February 2016A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 19th February 2016Write the recurring decimal 0.777... as a fraction in its simplest form.
- 20th February 2016Make x the subject of y = 7x^2 - 4.
- 21st February 2016y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 5.
- 22nd February 2016In triangle ABC, angle A is 62°, angle B is 47° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd February 20164 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th February 2016Four classes in order have frequencies 10, 12, 7, 3. Write down the cumulative frequency at the end of the third class.
- 25th February 2016Work out 100^(3/2).
- 26th February 2016Factorise x^2 - 25.
- 27th February 2016y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 5.
- 28th February 2016A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 29th February 201617 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.