Daily Practice · Higher Plus
November 2008 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2008, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2008 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2008The probability of winning a game is 1/5. A player expects 7 wins. How many games did they play?
- 2nd November 2008A 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?
- 3rd November 2008A block has mass 780 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th November 2008Work out the nth term of the quadratic sequence 3, 17, 37, 63, ...
- 5th November 2008y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
- 6th November 2008In a vector proof you find that vector PQ = 4a - 2b and vector RS = 20a - 10b. What does this show about PQ and RS?
- 7th November 2008A bag holds 6 red and n blue counters. The probability of taking a red is 6/11. Work out n.
- 8th November 2008On 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 2008x = 70 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th November 2008The point (4, 1) lies on y = f(x). Write down its image on y = f(-x).
- 11th November 2008y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 12th November 2008A cuboid measures 4 cm by 3 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th November 2008A 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?
- 14th November 2008A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
- 15th November 2008A car covers 670 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.
- 16th November 2008Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 17th November 2008y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.
- 18th November 2008A cuboid measures 8 cm by 9 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th November 2008A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th November 2008On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 21st November 2008Rationalise the denominator of 25/sqrt(5), giving your answer in its simplest form.
- 22nd November 2008f(x) = 4x - 4 and g(x) = 5x + 5. Work out fg(4).
- 23rd November 2008A train slows steadily from 31 m/s to rest in 10 seconds. Work out its deceleration.
- 24th November 2008The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 25th November 2008A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/33. Work out r.
- 26th November 2008A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
- 27th November 2008Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
- 28th November 2008The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 29th November 2008y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 30th November 2008In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.