Daily Practice · Higher Plus
March 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1984A histogram has two bars: one 20 units wide with frequency density 1.5, one 25 units wide with density 3. How many values in total?
- 2nd March 1984Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
- 3rd March 1984Make x the subject of 6x + 4 = y(x + 4).
- 4th March 1984y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 16.
- 5th March 1984The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 6th March 1984A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.
- 7th March 1984On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 8th March 1984Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
- 9th March 1984Write 3/(x - 4) + 6/(x + 5) as a single fraction.
- 10th March 1984A train slows steadily from 16 m/s to rest in 8 seconds. Work out its deceleration.
- 11th March 1984In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 12th March 1984The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?
- 13th March 1984A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 3.5. How many values in total?
- 14th March 1984A rectangle is 24 cm by 25 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 15th March 1984Solve 2x^2 + 11x + 12 = 0.
- 16th March 1984y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.
- 17th March 1984In a vector proof you find that vector PQ = 2a + 5b and vector RS = 4a + 10b. What does this show about PQ and RS?
- 18th March 1984A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 19th March 1984On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 20th March 1984Expand and simplify (2 + sqrt(6))(2 - sqrt(6)).
- 21st March 1984f(x) = 8x + 6. Work out the inverse function f^-1(x).
- 22nd March 1984y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 23rd March 1984A cuboid measures 10 cm by 11 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 24th March 1984A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 25th March 1984A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 26th March 1984A block has mass 670 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 27th March 1984Solve x^2 + y^2 = 225 and y = x - 3 simultaneously.
- 28th March 1984y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 25.
- 29th March 1984A cuboid measures 7 cm by 13 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 30th March 1984A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 31st March 1984On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?