Daily Practice · Higher Plus
November 2024 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2024, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2024 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2024A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 2nd November 2024A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?
- 3rd November 2024x = 100 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th November 2024A quadratic sequence starts 11, 32, 63, 104. Work out the second difference, and the coefficient of n^2.
- 5th November 2024y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 49.
- 6th November 2024In 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.
- 7th November 2024The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
- 8th November 2024On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 9th November 2024A car covers 530 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.
- 10th November 2024Solve x^2 - 6x < 0.
- 11th November 2024A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
- 12th November 2024In a vector proof you find that vector PQ = 5a + 4b and vector RS = 20a + 16b. What does this show about PQ and RS?
- 13th November 2024A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 14th November 2024A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
- 15th November 2024Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
- 16th November 2024Write x^2 - 14x - 14 in the form (x + a)^2 + b.
- 17th November 2024y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
- 18th November 2024A cuboid measures 6 cm by 15 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th November 2024A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th November 2024On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 21st November 2024Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 22nd November 2024Work out the coordinates of the turning point of y = x^2 + 4x + 12.
- 23rd November 2024y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 24th November 2024A cuboid measures 13 cm by 14 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th November 2024A bag holds 5 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th November 2024A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
- 27th November 2024A rectangle is 28 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th November 2024Simplify (x^2 - 4x - 32)/(x - 8).
- 29th November 2024y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 9.
- 30th November 2024The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.