Daily Practice · Higher Plus
November 2002 - Higher Plus 5-a-day
Every Higher Plus sheet published in November 2002, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' November 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 2002y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 25.
- 2nd November 2002In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 3rd November 2002The probability of winning a game is 1/4. A player expects 11 wins. How many games did they play?
- 4th November 2002On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 5th November 2002Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
- 6th November 2002Simplify (x^2 - 8x + 7)/(x - 7).
- 7th November 2002A train slows steadily from 35 m/s to rest in 10 seconds. Work out its deceleration.
- 8th November 2002In a vector proof you find that vector PQ = 3a - 2b and vector RS = 6a - 4b. What does this show about PQ and RS?
- 9th November 2002A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
- 10th November 2002A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 11th November 2002A block has mass 810 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 12th November 2002In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 13th November 2002y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 14th November 2002A cuboid measures 12 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th November 2002A bag holds 9 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th November 2002On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 17th November 2002x = 94 and y = 72, each correct to the nearest whole number. Work out the upper bound of x - y.
- 18th November 2002Make x the subject of 4x + 7 = y(x + 7).
- 19th November 2002y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
- 20th November 2002A cuboid measures 7 cm by 14 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st November 2002A bag holds 6 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd November 2002A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3.5. How many values in total?
- 23rd November 2002A car covers 220 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 24th November 2002Write 2/(x + 1) + 6/(x + 2) as a single fraction.
- 25th November 2002y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 64.
- 26th November 2002The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 27th November 2002A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
- 28th November 2002On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 29th November 2002Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
- 30th November 2002Solve 8x^2 + 18x + 9 = 0.