Daily Practice · Higher Plus
April 2026 - Higher Plus 5-a-day
Every Higher Plus sheet published in April 2026, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' April 2026 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2026The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
- 2nd April 2026A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 3rd April 2026Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
- 4th April 2026Solve x^2 + 8x + 7 > 0.
- 5th April 2026y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 6th April 2026In a vector proof you find that vector PQ = 5a + 6b and vector RS = 25a + 30b. What does this show about PQ and RS?
- 7th April 2026A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 8th April 2026On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 9th April 2026Simplify sqrt(12) + sqrt(12), giving your answer in the form a sqrt(b).
- 10th April 2026Write x^2 - 6x - 14 in the form (x + a)^2 + b.
- 11th April 2026y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 12th April 2026A cuboid measures 7 cm by 11 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th April 2026A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th April 2026A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 15th April 2026A rectangle is 27 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 16th April 2026Work out the coordinates of the turning point of y = x^2 - 2x + 11.
- 17th April 2026y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 9.
- 18th April 2026A cuboid measures 13 cm by 7 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th April 2026A bag holds 5 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th April 2026On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 21st April 2026Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
- 22nd April 2026Simplify (x^2 - 3x - 18)/(x - 6).
- 23rd April 2026A train slows steadily from 20 m/s to rest in 8 seconds. Work out its deceleration.
- 24th April 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.
- 25th April 2026A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 36/55. Work out r.
- 26th April 2026A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?
- 27th April 2026A block has mass 550 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 28th April 2026In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 29th April 2026y is inversely proportional to x^2. When x = 2, y = 75. Work out y when x = 5.
- 30th April 2026In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.