Daily Practice · Higher Plus
February 2000 - Higher Plus 5-a-day
Every Higher Plus sheet published in February 2000, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' February 2000 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2000Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
- 2nd February 2000Make x the subject of 4x + 5 = y(x + 5).
- 3rd February 2000A train slows steadily from 37 m/s to rest in 5 seconds. Work out its deceleration.
- 4th February 2000A cuboid measures 10 cm by 11 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 5th February 2000A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 6th February 2000A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
- 7th February 2000A block has mass 730 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 8th February 2000Write 5/(x + 3) + 7/(x + 1) as a single fraction.
- 9th February 2000y is inversely proportional to x^2. When x = 2, y = 108. Work out y when x = 6.
- 10th February 2000The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 11th February 2000A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 12th February 2000On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 13th February 2000x = 195 and y = 48, each correct to the nearest whole number. Work out the upper bound of x - y.
- 14th February 2000Solve 12x^2 - 35x + 25 = 0.
- 15th February 2000y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 16th February 2000In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 17th February 2000The probability of winning a game is 9/10. A player expects 99 wins. How many games did they play?
- 18th February 2000A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 0.6. How many values in total?
- 19th February 2000A car covers 410 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 20th February 2000f(x) = 2x + 1. Work out the inverse function f^-1(x).
- 21st February 2000y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 64.
- 22nd February 2000In a vector proof you find that vector PQ = 4a - 5b and vector RS = 12a - 15b. What does this show about PQ and RS?
- 23rd February 2000A bag holds 3 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 24th February 2000On 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?
- 25th February 2000Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
- 26th February 2000Solve x^2 + y^2 = 169 and y = x + 7 simultaneously.
- 27th February 2000A train slows steadily from 40 m/s to rest in 4 seconds. Work out its deceleration.
- 28th February 2000A cuboid measures 11 cm by 3 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 29th February 2000A bag holds 4 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?