Daily Practice · Higher
March 2023 - Higher 5-a-day
Every Higher sheet published in March 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2023 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2023Four classes in order have frequencies 7, 9, 5, 11. Write down the cumulative frequency at the end of the third class.
- 2nd March 2023Work out (64 x 10^6) / (8 x 10^2). Give your answer in standard form.
- 3rd March 2023Work out the equation of the line parallel to y = 5x - 9 that passes through (1, 0).
- 4th March 2023y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 4.
- 5th March 2023A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 6th March 20235 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 202345 voles are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 8th March 2023Write the recurring decimal 0.777... as a fraction in its simplest form.
- 9th March 2023A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
- 10th March 2023y is directly proportional to x. When x = 9, y = 99. Work out y when x = 6.
- 11th March 2023ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 12th March 202323 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 2023A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th March 2023Work out 8^(2/3).
- 15th March 2023For the curve y = -2/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 16th March 2023A town's population is 28500 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 17th March 2023A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 18th March 20233 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 2023A box plot has a minimum of 17 and a maximum of 59. Work out the range.
- 20th March 2023Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 21st March 2023Expand and simplify (x + 4)(x - 5)(x + 3).
- 22nd March 2023A block has volume 190 cm^3 and density 3 g/cm^3. Work out its mass.
- 23rd March 2023A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 24th March 202321 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 2023A box plot has minimum 5, lower quartile 12, median 14, upper quartile 23 and maximum 26. Work out the interquartile range.
- 26th March 2023A meal deal has 9 mains, 6 sides and 4 drinks. How many different meals are possible?
- 27th March 2023Make x the subject of y = 4x^2 - 6.
- 28th March 2023x : y = 3 : 4. Write y in terms of x.
- 29th March 2023In triangle ABC, angle A is 61°, angle B is 51° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th March 20235 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 2023A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.