Daily Practice · Higher Plus
March 2001 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2001, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2001A bag holds 5 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2nd March 2001On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 3rd March 2001A car covers 260 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.
- 4th March 2001Simplify (x^2 + 10x + 24)/(x + 4).
- 5th March 2001y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 6th March 2001The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 7th March 2001A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/18. Work out r.
- 8th March 2001A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 9th March 2001Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.
- 10th March 2001In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 11th March 2001y is directly proportional to sqrt(x). When x = 25, y = 20. Work out y when x = 36.
- 12th March 2001In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 13th March 2001The probability of winning a game is 3/8. A player expects 27 wins. How many games did they play?
- 14th March 2001On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 15th March 2001Simplify sqrt(48) + sqrt(75), giving your answer in the form a sqrt(b).
- 16th March 2001Make x the subject of 3x + 4 = y(x + 4).
- 17th March 2001A train slows steadily from 38 m/s to rest in 8 seconds. Work out its deceleration.
- 18th March 2001In a vector proof you find that vector PQ = 3a + 5b and vector RS = 12a + 20b. What does this show about PQ and RS?
- 19th March 2001A bag holds 4 red and n blue counters. The probability of taking a red is 4/11. Work out n.
- 20th March 2001A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
- 21st March 2001A rectangle is 4 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 22nd March 2001Write 7/(x + 3) + 3/(x + 6) as a single fraction.
- 23rd March 2001y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
- 24th March 2001A cuboid measures 13 cm by 4 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 25th March 2001A bag holds 10 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 26th March 2001On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 27th March 2001Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
- 28th March 2001Solve 6x^2 - 5x - 25 = 0.
- 29th March 2001y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
- 30th March 2001A cuboid measures 5 cm by 7 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 31st March 2001A bag holds 6 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?