Daily Practice · Higher Plus
March 2004 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2004, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2004A train slows steadily from 22 m/s to rest in 4 seconds. Work out its deceleration.
- 2nd March 2004In a vector proof you find that vector PQ = a + 4b and vector RS = 5a + 20b. What does this show about PQ and RS?
- 3rd March 2004A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
- 4th March 2004A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 0.8. How many values in total?
- 5th March 2004Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 6th March 2004A quadratic sequence starts 11, 18, 27, 38. Work out the second difference, and the coefficient of n^2.
- 7th March 2004y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 8th March 2004A cuboid measures 5 cm by 10 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 9th March 2004A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 10th March 2004On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 11th March 2004Simplify sqrt(80) + sqrt(80), giving your answer in the form a sqrt(b).
- 12th March 2004Solve x^2 + 4x - 5 > 0.
- 13th March 2004y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
- 14th March 2004A cuboid measures 11 cm by 11 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 15th March 2004A bag holds 4 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 16th March 2004A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 17th March 2004A rectangle is 21 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 18th March 2004Write x^2 - 14x + 9 in the form (x + a)^2 + b.
- 19th March 2004y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 64.
- 20th March 2004The 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.
- 21st March 2004A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.
- 22nd March 2004On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 23rd March 2004Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
- 24th March 2004Work out the coordinates of the turning point of y = x^2 - 10x - 11.
- 25th March 2004A train slows steadily from 17 m/s to rest in 8 seconds. Work out its deceleration.
- 26th March 2004In 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.
- 27th March 2004The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?
- 28th March 2004A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 29th March 2004A block has mass 400 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 30th March 2004Simplify (x^2 - 9)/(x - 3).
- 31st March 2004y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.