Daily Practice · Higher
February 2019 - Higher 5-a-day
Every Higher sheet published in February 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2019 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 201915 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd February 2019A box plot has minimum 2, lower quartile 11, median 19, upper quartile 26 and maximum 30. Work out the interquartile range.
- 3rd February 2019A mass is 660 kg, correct to the nearest 10. Write down the lower bound.
- 4th February 2019Work out the equation of the line parallel to y = x - 4 that passes through (1, -9).
- 5th February 2019x : y = 2 : 5. Write y in terms of x.
- 6th February 2019A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 7th February 20192 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th February 2019A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 9th February 2019Write 5^-2 as a fraction.
- 10th February 2019A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 11th February 2019A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th February 2019ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 13th February 201924 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th February 2019A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 15th February 2019Work out (9 x 10^7) x (2 x 10^2). Give your answer in standard form.
- 16th February 2019For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 17th February 2019y is inversely proportional to x. When x = 5, y = 10. Work out y when x = 10.
- 18th February 2019A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 19th February 20194 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th February 2019Four classes in order have frequencies 11, 11, 12, 3. Write down the cumulative frequency at the end of the third class.
- 21st February 2019Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 22nd February 2019Expand and simplify (x + 4)(x + 4)(x - 3).
- 23rd February 2019y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 8.
- 24th February 2019A cone has base radius 7 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 25th February 201915 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th February 201955 fish are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 27th February 2019A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 28th February 2019Make x the subject of y = 6x^2 - 5.