Daily Practice · Higher Plus
November 2001 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2001, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2001 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2001The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 2nd November 2001A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
- 3rd November 2001A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 4th November 2001x = 158 and y = 131, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5th November 2001Use the iteration x(n+1) = cube root of (10x(n) + 2) with x(0) = 1. Work out x(1) to 3 decimal places.
- 6th November 2001y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 49.
- 7th November 2001In 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.
- 8th November 2001The probability of winning a game is 1/8. A player expects 6 wins. How many games did they play?
- 9th November 2001On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 10th November 2001A car covers 490 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 11th November 2001Work out the nth term of the quadratic sequence 10, 21, 38, 61, ...
- 12th November 2001A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
- 13th November 2001In a vector proof you find that vector PQ = 2a - 5b and vector RS = 4a - 10b. What does this show about PQ and RS?
- 14th November 2001A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 15th November 2001A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 16th November 2001Rationalise the denominator of 88/sqrt(11), giving your answer in its simplest form.
- 17th November 2001The point (3, 2) lies on y = f(x). Write down its image on y = f(-x).
- 18th November 2001y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
- 19th November 2001A cuboid measures 10 cm by 7 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th November 2001A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st November 2001On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 22nd November 2001Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
- 23rd November 2001Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 24th November 2001y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 4.
- 25th November 2001A cuboid measures 13 cm by 9 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th November 2001A bag holds 6 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th November 2001A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
- 28th November 2001A rectangle is 5 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 29th November 2001f(x) = 5x - 6 and g(x) = 3x - 9. Work out fg(3).
- 30th November 2001y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 81.