Daily Practice · Higher Plus
March 2008 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2008, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2008On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2nd March 2008x = 185 and y = 122, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3rd March 2008In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 4th March 2008A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.
- 5th March 2008In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 6th March 2008The probability of winning a game is 1/2. A player expects 4 wins. How many games did they play?
- 7th March 2008A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 0.8. How many values in total?
- 8th March 2008A car covers 800 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.
- 9th March 2008Make x the subject of 5x + 4 = y(x + 4).
- 10th March 2008y is inversely proportional to x^2. When x = 3, y = 48. Work out y when x = 4.
- 11th March 2008In a vector proof you find that vector PQ = 6a + 4b and vector RS = 18a + 12b. What does this show about PQ and RS?
- 12th March 2008A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 13th March 2008On 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?
- 14th March 2008Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 15th March 2008Write 4/(x - 5) + 3/(x + 6) as a single fraction.
- 16th March 2008y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 17th March 2008A cuboid measures 5 cm by 10 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th March 2008A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th March 2008A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 20th March 2008Simplify sqrt(80) + sqrt(125), giving your answer in the form a sqrt(b).
- 21st March 2008Solve 16x^2 - 32x + 15 = 0.
- 22nd March 2008y is directly proportional to sqrt(x). When x = 16, y = 32. Work out y when x = 81.
- 23rd March 2008A cuboid measures 7 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th March 2008A bag holds 7 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th March 2008On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 26th March 2008A rectangle is 22 cm by 5 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 27th March 2008f(x) = 8x - 1. Work out the inverse function f^-1(x).
- 28th March 2008A train slows steadily from 29 m/s to rest in 5 seconds. Work out its deceleration.
- 29th March 2008The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
- 30th March 2008A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 31st March 2008A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 3.5. How many values in total?