Daily Practice · Higher Plus
March 2026 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2026, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2026In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 2nd March 2026The probability of winning a game is 1/2. A player expects 14 wins. How many games did they play?
- 3rd March 2026On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4th March 2026A rectangle is 11 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5th March 2026The point (3, -5) lies on y = f(x). Write down its image on y = f(-x).
- 6th March 2026A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
- 7th March 2026In a vector proof you find that vector PQ = 3a - b and vector RS = 6a - 2b. What does this show about PQ and RS?
- 8th March 2026A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 9th March 2026A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 10th March 2026Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
- 11th March 2026Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 12th March 2026y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 13th March 2026A cuboid measures 5 cm by 4 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th March 2026A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th March 2026On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 16th March 2026A block has mass 340 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 17th March 2026f(x) = 3x - 2 and g(x) = 5x - 2. Work out fg(-1).
- 18th March 2026y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 19th March 2026A cuboid measures 11 cm by 8 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th March 2026A bag holds 6 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st March 2026A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
- 22nd March 2026x = 197 and y = 69, each correct to the nearest whole number. Work out the upper bound of x - y.
- 23rd March 2026The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 24th March 2026y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 81.
- 25th March 2026The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 26th March 2026A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 27th March 2026On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 28th March 2026A car covers 200 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 29th March 2026A quadratic sequence starts 1, 7, 15, 25. Work out the second difference, and the coefficient of n^2.
- 30th March 2026A train slows steadily from 13 m/s to rest in 5 seconds. Work out its deceleration.
- 31st March 2026In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.