Daily Practice · Higher Plus
November 2017 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2017, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2017 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2017A cuboid measures 12 cm by 10 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 2nd November 2017A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 3rd November 2017A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 0.6. How many values in total?
- 4th November 2017A car covers 790 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.
- 5th November 2017The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 6th November 2017y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
- 7th November 2017The 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.
- 8th November 2017A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 9th November 2017On 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?
- 10th November 2017Rationalise the denominator of 30/sqrt(6), giving your answer in its simplest form.
- 11th November 2017A quadratic sequence starts 9, 22, 41, 66. Work out the second difference, and the coefficient of n^2.
- 12th November 2017y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
- 13th November 2017In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 14th November 2017The probability of winning a game is 2/5. A player expects 48 wins. How many games did they play?
- 15th November 2017A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 16th November 2017Simplify sqrt(72) + sqrt(18), giving your answer in the form a sqrt(b).
- 17th November 2017Solve x^2 - 4x - 12 > 0.
- 18th November 2017y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 81.
- 19th November 2017In a vector proof you find that vector PQ = 4a + b and vector RS = 8a + 2b. What does this show about PQ and RS?
- 20th November 2017A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
- 21st November 2017On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 22nd November 2017A rectangle is 6 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 23rd November 2017Write x^2 + 10x - 11 in the form (x + a)^2 + b.
- 24th November 2017A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.
- 25th November 2017A cuboid measures 14 cm by 4 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 26th November 2017A 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?
- 27th November 2017A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
- 28th November 2017Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 29th November 2017Work out the coordinates of the turning point of y = x^2 - 10x - 3.
- 30th November 2017y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.