Daily Practice · Higher Plus
February 2025 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2025, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2025 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2025
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2025A car covers 440 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.
- 2nd February 2025f(x) = 2x - 4 and g(x) = 2x + 5. Work out fg(-3).
- 3rd February 2025y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 4th February 2025In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 5th February 2025The probability of winning a game is 3/4. A player expects 33 wins. How many games did they play?
- 6th February 2025A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 7th February 2025Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 8th February 2025The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 9th February 2025y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 81.
- 10th February 2025In a vector proof you find that vector PQ = 5a + 6b and vector RS = 15a + 18b. What does this show about PQ and RS?
- 11th February 2025A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 12th February 2025On 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?
- 13th February 2025Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 14th February 2025A quadratic sequence starts 5, 17, 37, 65. Work out the second difference, and the coefficient of n^2.
- 15th February 2025A train slows steadily from 29 m/s to rest in 4 seconds. Work out its deceleration.
- 16th February 2025A cuboid measures 14 cm by 12 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 17th February 2025A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 18th February 2025A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 19th February 2025A rectangle is 19 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 20th February 2025Solve x^2 - 14x + 33 < 0.
- 21st February 2025y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 6.
- 22nd February 2025A cuboid measures 14 cm by 8 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 23rd February 2025A bag holds 5 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 24th February 2025On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 25th February 2025Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 26th February 2025Write x^2 - 8x - 4 in the form (x + a)^2 + b.
- 27th February 2025y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 28th February 2025The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.