Daily Practice · Higher Plus
March 1994 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1994 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1994A cuboid measures 8 cm by 7 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2nd March 1994A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3rd March 1994On 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?
- 4th March 1994Rationalise the denominator of 56/sqrt(7), giving your answer in its simplest form.
- 5th March 1994Work out the coordinates of the turning point of y = x^2 - 10x - 6.
- 6th March 1994A train slows steadily from 17 m/s to rest in 8 seconds. Work out its deceleration.
- 7th March 1994A cuboid measures 7 cm by 14 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 8th March 1994A bag holds 5 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 9th March 1994A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 0.6. How many values in total?
- 10th March 1994Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 11th March 1994Simplify (x^2 - 3x - 10)/(x + 2).
- 12th March 1994y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
- 13th March 1994The 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.
- 14th March 1994A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 15th March 1994On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 16th March 1994A rectangle is 13 cm by 22 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 17th March 1994In an algebraic proof, how would you write an even number in terms of an integer n?
- 18th March 1994y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 19th March 1994In 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.
- 20th March 1994The probability of winning a game is 7/8. A player expects 21 wins. How many games did they play?
- 21st March 1994A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 22nd March 1994Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
- 23rd March 1994Make x the subject of 3x + 6 = y(x + 6).
- 24th March 1994y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 36.
- 25th March 1994In a vector proof you find that vector PQ = 2a - b and vector RS = 6a - 3b. What does this show about PQ and RS?
- 26th March 1994A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 27th March 1994On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 28th March 1994A block has mass 360 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.
- 29th March 1994Write 7/(x - 6) + 3/(x + 5) as a single fraction.
- 30th March 1994A train slows steadily from 37 m/s to rest in 10 seconds. Work out its deceleration.
- 31st March 1994A cuboid measures 6 cm by 3 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.