Daily Practice · Higher
March 2025 - Higher 5-a-day
Every Higher sheet published in March 2025, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2025 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 202514 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 March 2025A box plot has a minimum of 10 and a maximum of 31. Work out the range.
- 3rd March 2025Write the recurring decimal 0.444... as a fraction in its simplest form.
- 4th March 2025For the curve y = -5/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 5th March 2025A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 6th March 2025A, B and C are points on a circle with centre O. Angle AOC is 176°. Work out angle ABC, where B is on the major arc.
- 7th March 20253 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th March 2025A box plot has minimum 13, lower quartile 22, median 24, upper quartile 29 and maximum 36. Work out the interquartile range.
- 9th March 2025Work out 216^(2/3).
- 10th March 2025Expand and simplify (x + 4)(x - 5)(x - 2).
- 11th March 2025x : y = 2 : 3. Write y in terms of x.
- 12th March 2025A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 13th March 202523 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th March 2025A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 15th March 2025Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 16th March 2025Make x the subject of y = 6x^2 - 2.
- 17th March 2025A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th March 2025In triangle ABC, angle A is 80°, angle B is 61° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th March 20254 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th March 2025A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 21st March 2025A meal deal has 4 mains, 6 sides and 5 drinks. How many different meals are possible?
- 22nd March 2025Factorise x^2 - 144.
- 23rd March 2025y is inversely proportional to x. When x = 5, y = 20. Work out y when x = 4.
- 24th March 2025A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 25th March 202521 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th March 2025Four classes in order have frequencies 8, 12, 8, 8. Write down the cumulative frequency at the end of the third class.
- 27th March 2025A mass is 700 kg, correct to the nearest 10. Write down the lower bound.
- 28th March 2025A region is defined by y < 2x - 6. Should the boundary line be solid or dashed, and why?
- 29th March 2025y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 30th March 2025The point (2, 0) is enlarged by scale factor -3 about the centre (4, 3). Write down the coordinates of the image.
- 31st March 20252 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.