Daily Practice · Higher Plus
February 2003 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2003, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2003 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2003The probability of winning a game is 1/2. A player expects 4 wins. How many games did they play?
- 2nd February 2003A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 3rd February 2003A block has mass 200 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th February 2003Write x^2 - 8x - 14 in the form (x + a)^2 + b.
- 5th February 2003y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 25.
- 6th February 2003In a vector proof you find that vector PQ = 4a - 5b and vector RS = 16a - 20b. What does this show about PQ and RS?
- 7th February 2003A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 8th February 2003On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 9th February 2003x = 91 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th February 2003Work out the coordinates of the turning point of y = x^2 - 2x - 5.
- 11th February 2003A train slows steadily from 35 m/s to rest in 10 seconds. Work out its deceleration.
- 12th February 2003A cuboid measures 7 cm by 12 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th February 2003A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th February 2003A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 15th February 2003A car covers 720 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.
- 16th February 2003Simplify (x^2 + 10x + 24)/(x + 4).
- 17th February 2003y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
- 18th February 2003A cuboid measures 8 cm by 4 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th February 2003A bag holds 3 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th February 2003On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 21st February 2003Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.
- 22nd February 2003In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 23rd February 2003y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 24th February 2003The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 25th February 2003A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 28/45. Work out r.
- 26th February 2003A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?
- 27th February 2003Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).
- 28th February 2003Make x the subject of 5x + 3 = y(x + 3).