Daily Practice · Higher Plus
November 2014 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2014, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2014 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2014On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2nd November 2014x = 159 and y = 39, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3rd November 2014Work out the coordinates of the turning point of y = x^2 + 2x - 7.
- 4th November 2014y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 5th November 2014In a vector proof you find that vector PQ = 5a - 4b and vector RS = 15a - 12b. What does this show about PQ and RS?
- 6th November 2014A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 7th November 2014A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
- 8th November 2014A car covers 590 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.
- 9th November 2014Simplify (x^2 + x - 12)/(x - 3).
- 10th November 2014y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 49.
- 11th November 2014A cuboid measures 10 cm by 10 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th November 2014A bag holds 5 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th November 2014On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 14th November 2014Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
- 15th November 2014In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 16th November 2014A train slows steadily from 36 m/s to rest in 5 seconds. Work out its deceleration.
- 17th November 2014A cuboid measures 7 cm by 13 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th November 2014A bag holds 6 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th November 2014A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
- 20th November 2014Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
- 21st November 2014Make x the subject of 4x + 4 = y(x + 4).
- 22nd November 2014y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 23rd November 2014The 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.
- 24th November 2014A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 25th November 2014On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 26th November 2014A rectangle is 17 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 27th November 2014Write 6/(x + 3) + 7/(x + 1) as a single fraction.
- 28th November 2014y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 29th November 2014In 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.
- 30th November 2014The probability of winning a game is 1/2. A player expects 12 wins. How many games did they play?