Daily Practice · Higher Plus
May 2026 - Higher Plus 5-a-day
Every Higher Plus sheet published in May 2026, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' May 2026 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2026
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2026The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?
- 2nd May 2026On 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?
- 3rd May 2026x = 164 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th May 2026Make x the subject of 3x + 6 = y(x + 6).
- 5th May 2026y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 6th May 2026In a vector proof you find that vector PQ = a + b and vector RS = 3a + 3b. What does this show about PQ and RS?
- 7th May 2026A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 8th May 2026A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 9th May 2026A car covers 460 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 10th May 2026Write 5/(x + 4) + 6/(x + 5) as a single fraction.
- 11th May 2026y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 36.
- 12th May 2026A cuboid measures 10 cm by 10 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th May 2026A bag holds 4 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th May 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?
- 15th May 2026Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
- 16th May 2026Solve 12x^2 - 23x + 5 = 0.
- 17th May 2026A train slows steadily from 32 m/s to rest in 4 seconds. Work out its deceleration.
- 18th May 2026A cuboid measures 13 cm by 11 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th May 2026A bag holds 3 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th May 2026A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
- 21st May 2026Simplify sqrt(75) + sqrt(147), giving your answer in the form a sqrt(b).
- 22nd May 2026f(x) = 6x + 6. Work out the inverse function f^-1(x).
- 23rd May 2026y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
- 24th May 2026The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 25th May 2026A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 26th May 2026On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 27th May 2026A rectangle is 12 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th May 2026Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 29th May 2026y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
- 30th May 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.
- 31st May 2026The probability of winning a game is 2/5. A player expects 14 wins. How many games did they play?