Daily Practice · Higher
March 2021 - Higher 5-a-day
Every Higher sheet published in March 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2021 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2021A region is defined by y < 2x + 7. Should the boundary line be solid or dashed, and why?
- 2nd March 2021x : y = 5 : 7. Write y in terms of x.
- 3rd March 2021The point (2, 6) is enlarged by scale factor -2 about the centre (4, -1). Write down the coordinates of the image.
- 4th March 20215 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th March 2021A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 6th March 2021Work out (9 x 10^8) / (3 x 10^5). Give your answer in standard form.
- 7th March 2021Factorise x^2 + 9x + 8.
- 8th March 2021A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 9th March 2021Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 512 cm^3. Work out the volume of the smaller.
- 10th March 202115 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th March 2021A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 12th March 2021Write the recurring decimal 0.222... as a fraction in its simplest form.
- 13th March 2021Work out the equation of the line parallel to y = 3x + 2 that passes through (4, 0).
- 14th March 2021y is inversely proportional to x. When x = 2, y = 30. Work out y when x = 6.
- 15th March 2021A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 16th March 20214 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th March 2021Four classes in order have frequencies 6, 7, 4, 9. Write down the cumulative frequency at the end of the third class.
- 18th March 2021Work out 36^(3/2).
- 19th March 2021A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 20th March 2021y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 7.
- 21st March 2021ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 22nd March 202119 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd March 202120 beetles are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 24th March 2021Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 25th March 2021For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 26th March 2021y is directly proportional to x. When x = 4, y = 20. Work out y when x = 10.
- 27th March 2021A, 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.
- 28th March 20213 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th March 2021A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th March 2021A meal deal has 3 mains, 6 sides and 3 drinks. How many different meals are possible?
- 31st March 2021Expand and simplify (x - 1)(x + 3)(x + 2).