Daily Practice · Higher Plus
November 2004 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2004, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2004 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2004Make x the subject of 8x + 7 = y(x + 7).
- 2nd November 2004y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 3rd November 2004A cuboid measures 3 cm by 3 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 4th November 2004A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 5th November 2004On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 6th November 2004A car covers 770 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 7th November 2004Write 4/(x - 6) + 5/(x - 1) as a single fraction.
- 8th November 2004y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 9th November 2004A cuboid measures 10 cm by 7 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 10th November 2004A bag holds 6 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 11th November 2004A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 12th November 2004Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
- 13th November 2004Solve 16x^2 + 16x + 3 = 0.
- 14th November 2004y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 9.
- 15th November 2004The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 16th November 2004A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 17th November 2004On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 18th November 2004Simplify sqrt(48) + sqrt(3), giving your answer in the form a sqrt(b).
- 19th November 2004f(x) = 4x - 5. Work out the inverse function f^-1(x).
- 20th November 2004A train slows steadily from 26 m/s to rest in 4 seconds. Work out its deceleration.
- 21st November 2004In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 22nd November 2004The probability of winning a game is 4/5. A player expects 24 wins. How many games did they play?
- 23rd November 2004A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 0.8. How many values in total?
- 24th November 2004A rectangle is 16 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 25th November 2004Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 26th November 2004y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 27th November 2004In a vector proof you find that vector PQ = 6a + 6b and vector RS = 30a + 30b. What does this show about PQ and RS?
- 28th November 2004A bag holds 2 red and n blue counters. The probability of taking a red is 2/9. Work out n.
- 29th November 2004On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 30th November 2004Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).