Daily Practice · Higher Plus
February 2002 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2002, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2002 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2002On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2nd February 2002A car covers 870 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 3rd February 2002f(x) = 2x - 10. Work out the inverse function f^-1(x).
- 4th February 2002y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
- 5th February 2002In 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.
- 6th February 2002The probability of winning a game is 3/5. A player expects 27 wins. How many games did they play?
- 7th February 2002A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?
- 8th February 2002Rationalise the denominator of 14/sqrt(7), giving your answer in its simplest form.
- 9th February 2002Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 10th February 2002y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 25.
- 11th February 2002In a vector proof you find that vector PQ = 4a - 2b and vector RS = 20a - 10b. What does this show about PQ and RS?
- 12th February 2002A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 13th February 2002On 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 February 2002Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 15th February 2002Use the iteration x(n+1) = cube root of (7x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 16th February 2002A train slows steadily from 35 m/s to rest in 5 seconds. Work out its deceleration.
- 17th February 2002A cuboid measures 10 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th February 2002A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th February 2002A histogram has two bars: one 10 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?
- 20th February 2002A rectangle is 30 cm by 18 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 21st February 2002Work out the nth term of the quadratic sequence 4, 12, 24, 40, ...
- 22nd February 2002y is inversely proportional to x^2. When x = 2, y = 48. Work out y when x = 4.
- 23rd February 2002A cuboid measures 11 cm by 12 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th February 2002A bag holds 3 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th February 2002On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 26th February 2002Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 27th February 2002The point (1, -6) lies on y = f(x). Write down its image on y = f(x) - 3.
- 28th February 2002y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.