Daily Practice · Higher Plus
March 1996 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1996y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 2nd March 1996The 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.
- 3rd March 1996A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.
- 4th March 1996On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 5th March 1996Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
- 6th March 1996Make x the subject of 3x + 2 = y(x + 2).
- 7th March 1996y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 8th March 1996In 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.
- 9th March 1996The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
- 10th March 1996A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 11th March 1996A block has mass 460 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 12th March 1996Write 3/(x + 3) + 7/(x + 4) as a single fraction.
- 13th March 1996y is directly proportional to sqrt(x). When x = 36, y = 54. Work out y when x = 25.
- 14th March 1996In a vector proof you find that vector PQ = a + 5b and vector RS = 5a + 25b. What does this show about PQ and RS?
- 15th March 1996A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 16th March 1996On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 17th March 1996x = 144 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.
- 18th March 1996Solve 10x^2 - 27x + 5 = 0.
- 19th March 1996A train slows steadily from 29 m/s to rest in 8 seconds. Work out its deceleration.
- 20th March 1996A cuboid measures 7 cm by 10 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st March 1996A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 22nd March 1996A histogram has two bars: one 5 units wide with frequency density 1.2, one 25 units wide with density 1.4. How many values in total?
- 23rd March 1996A car covers 140 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.
- 24th March 1996f(x) = 6x - 12. Work out the inverse function f^-1(x).
- 25th March 1996y is inversely proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 26th March 1996A cuboid measures 5 cm by 4 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th March 1996A bag holds 5 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 28th March 1996On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 29th March 1996Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.
- 30th March 1996Solve x^2 + y^2 = 841 and y = x + 1 simultaneously.
- 31st March 1996y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.