Daily Practice · Higher Plus
March 1973 5-a-day
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The batch download puts all 5 tiers' March 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1973The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 2nd March 1973y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 3rd March 1973The 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.
- 4th March 1973A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/22. Work out r.
- 5th March 1973On 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?
- 6th March 1973Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
- 7th March 1973A quadratic sequence starts 12, 21, 34, 51. Work out the second difference, and the coefficient of n^2.
- 8th March 1973y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.
- 9th March 1973In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 10th March 1973The probability of winning a game is 3/5. A player expects 54 wins. How many games did they play?
- 11th March 1973A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
- 12th March 1973A block has mass 200 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 13th March 1973Solve x^2 - 10x + 16 > 0.
- 14th March 1973y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 36.
- 15th March 1973In a vector proof you find that vector PQ = a + 3b and vector RS = 3a + 9b. What does this show about PQ and RS?
- 16th March 1973A bag holds 2 red and n blue counters. The probability of taking a red is 2/5. Work out n.
- 17th March 1973On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 18th March 1973x = 77 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
- 19th March 1973Write x^2 + 14x + 8 in the form (x + a)^2 + b.
- 20th March 1973A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
- 21st March 1973A cuboid measures 4 cm by 11 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 22nd March 1973A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 23rd March 1973A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
- 24th March 1973A car covers 140 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 25th March 1973Work out the coordinates of the turning point of y = x^2 + 10x + 3.
- 26th March 1973y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
- 27th March 1973A cuboid measures 6 cm by 9 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 28th March 1973A bag holds 4 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 29th March 1973On 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?
- 30th March 1973Rationalise the denominator of 18/sqrt(6), giving your answer in its simplest form.
- 31st March 1973Simplify (x^2 + x - 42)/(x + 7).