Daily Practice · Higher Plus
February 2026 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2026, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2026 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2026A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
- 2nd February 2026A block has mass 750 g (to the nearest 10 g) and volume 18 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3rd February 2026Solve 6x^2 - 19x + 15 = 0.
- 4th February 2026y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 16.
- 5th February 2026In a vector proof you find that vector PQ = 4a - b and vector RS = 20a - 5b. What does this show about PQ and RS?
- 6th February 2026A bag holds 3 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 7th February 2026On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 8th February 2026x = 164 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
- 9th February 2026f(x) = 6x + 4. Work out the inverse function f^-1(x).
- 10th February 2026A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.
- 11th February 2026A cuboid measures 4 cm by 9 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th February 2026A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th February 2026A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
- 14th February 2026A car covers 740 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 15th February 2026Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 16th February 2026y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 17th February 2026A cuboid measures 9 cm by 8 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th February 2026A bag holds 7 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th February 2026On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 20th February 2026Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 21st February 2026Use the iteration x(n+1) = cube root of (7x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
- 22nd February 2026y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
- 23rd February 2026The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 24th February 2026A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 25th February 2026A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 26th February 2026Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
- 27th February 2026Work out the nth term of the quadratic sequence -6, -7, -6, -3, ...
- 28th February 2026y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 9.