Daily Practice · Higher
February 2022 - Higher 5-a-day
Every Higher sheet published in February 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2022 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2022x : y = 5 : 7. Write y in terms of x.
- 2nd February 2022The point (-3, -5) is enlarged by scale factor -3 about the centre (-1, -3). Write down the coordinates of the image.
- 3rd February 20222 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th February 2022A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 5th February 2022Write the recurring decimal 0.444... as a fraction in its simplest form.
- 6th February 2022Factorise x^2 + 7x + 10.
- 7th February 2022A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 8th February 2022Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 9th February 202228 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th February 2022A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 11th February 2022Work out 216^(2/3).
- 12th February 2022Work out the equation of the line parallel to y = -5x - 5 that passes through (3, -11).
- 13th February 2022y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 6.
- 14th February 2022A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 15th February 20223 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th February 2022Four classes in order have frequencies 8, 7, 6, 3. Write down the cumulative frequency at the end of the third class.
- 17th February 2022Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 18th February 2022A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 19th February 2022y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 9.
- 20th February 2022ABCD is a cyclic quadrilateral. Angle ABC is 92°. Work out angle ADC.
- 21st February 202217 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd February 202260 fish are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 23rd February 2022A meal deal has 9 mains, 8 sides and 4 drinks. How many different meals are possible?
- 24th February 2022For the curve y = -24/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 25th February 2022y is directly proportional to x. When x = 4, y = 8. Work out y when x = 14.
- 26th February 2022A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 27th February 20227 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th February 2022A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?