Daily Practice · Higher Plus
March 1972 5-a-day
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The batch download puts all 5 tiers' March 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1972A train slows steadily from 25 m/s to rest in 8 seconds. Work out its deceleration.
- 2nd March 1972A cuboid measures 8 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 3rd March 1972A bag holds 7 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4th March 1972A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 5th March 1972x = 73 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 6th March 1972Write 6/(x + 1) + 7/(x + 5) as a single fraction.
- 7th March 1972y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
- 8th March 1972The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 9th March 1972A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 10th March 1972On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 11th March 1972A car covers 570 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.
- 12th March 1972Solve 9x^2 - 16 = 0.
- 13th March 1972y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.
- 14th March 1972In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 15th March 1972The probability of winning a game is 1/4. A player expects 20 wins. How many games did they play?
- 16th March 1972A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 0.8. How many values in total?
- 17th March 1972Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 18th March 1972f(x) = 7x + 1. Work out the inverse function f^-1(x).
- 19th March 1972y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 49.
- 20th March 1972In a vector proof you find that vector PQ = 6a - b and vector RS = 12a - 2b. What does this show about PQ and RS?
- 21st March 1972A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 22nd March 1972On 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?
- 23rd March 1972Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
- 24th March 1972Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
- 25th March 1972A train slows steadily from 30 m/s to rest in 8 seconds. Work out its deceleration.
- 26th March 1972A cuboid measures 14 cm by 11 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 27th March 1972A bag holds 5 red and 9 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 28th March 1972A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?
- 29th March 1972A rectangle is 20 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 30th March 1972Use the iteration x(n+1) = cube root of (12x(n) + 7) with x(0) = 4. Work out x(1) to 3 decimal places.
- 31st March 1972y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.