Daily Practice · Higher Plus
March 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1982A block has mass 260 g (to the nearest 10 g) and volume 15 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2nd March 1982Work out the coordinates of the turning point of y = x^2 + 10x - 10.
- 3rd March 1982y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
- 4th March 1982A cuboid measures 13 cm by 3 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th March 1982A bag holds 3 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 6th March 1982On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 7th March 1982x = 34 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
- 8th March 1982Simplify (x^2 - 7x + 6)/(x - 6).
- 9th March 1982y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 10th March 1982A cuboid measures 10 cm by 5 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th March 1982A bag holds 5 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 12th March 1982A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3. How many values in total?
- 13th March 1982A car covers 810 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 14th March 1982In an algebraic proof, how would you write an even number in terms of an integer n?
- 15th March 1982y is directly proportional to sqrt(x). When x = 4, y = 10. Work out y when x = 64.
- 16th March 1982The 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.
- 17th March 1982A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 18th March 1982On 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?
- 19th March 1982Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 20th March 1982Make x the subject of 5x + 6 = y(x + 6).
- 21st March 1982A train slows steadily from 28 m/s to rest in 4 seconds. Work out its deceleration.
- 22nd March 1982In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 23rd March 1982The probability of winning a game is 1/2. A player expects 60 wins. How many games did they play?
- 24th March 1982A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 25th March 1982Simplify sqrt(12) + sqrt(3), giving your answer in the form a sqrt(b).
- 26th March 1982Write 2/(x - 5) + 5/(x + 4) as a single fraction.
- 27th March 1982y is inversely proportional to x^2. When x = 4, y = 144. Work out y when x = 6.
- 28th March 1982In a vector proof you find that vector PQ = 2a + 3b and vector RS = 8a + 12b. What does this show about PQ and RS?
- 29th March 1982A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 30th March 1982On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 31st March 1982A rectangle is 15 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.