Daily Practice · Higher Plus
March 2025 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2025, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
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 2025A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
- 2nd March 2025A histogram has two bars: one 20 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 3rd March 2025A block has mass 760 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th March 2025Work out the coordinates of the turning point of y = x^2 - 16x + 15.
- 5th March 2025y is directly proportional to sqrt(x). When x = 36, y = 36. Work out y when x = 49.
- 6th March 2025In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 7th March 2025The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
- 8th March 2025On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 9th March 2025x = 77 and y = 39, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th March 2025Simplify (x^2 - 6x + 8)/(x - 2).
- 11th March 2025A train slows steadily from 21 m/s to rest in 10 seconds. Work out its deceleration.
- 12th March 2025In a vector proof you find that vector PQ = a + 2b and vector RS = 4a + 8b. What does this show about PQ and RS?
- 13th March 2025A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 14th March 2025A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 0.6. How many values in total?
- 15th March 2025A car covers 560 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 16th March 2025In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 17th March 2025y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 18th March 2025A cuboid measures 14 cm by 13 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th March 2025A bag holds 8 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th March 2025On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 21st March 2025Rationalise the denominator of 66/sqrt(6), giving your answer in its simplest form.
- 22nd March 2025Make x the subject of 7x + 6 = y(x + 6).
- 23rd March 2025y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 24th March 2025A cuboid measures 13 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th March 2025A bag holds 5 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th March 2025A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 27th March 2025Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 28th March 2025Write 3/(x - 3) + 2/(x + 5) as a single fraction.
- 29th March 2025y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 9.
- 30th March 2025The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 31st March 2025A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.