Daily Practice · Higher Plus
March 1985 5-a-day
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The batch download puts all 5 tiers' March 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1985A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 2nd March 1985On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 3rd March 1985x = 129 and y = 39, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th March 1985The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 5th March 1985A train slows steadily from 16 m/s to rest in 5 seconds. Work out its deceleration.
- 6th March 1985In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 7th March 1985The probability of winning a game is 3/4. A player expects 30 wins. How many games did they play?
- 8th March 1985A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
- 9th March 1985A car covers 110 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 10th March 1985A quadratic sequence starts 10, 21, 40, 67. Work out the second difference, and the coefficient of n^2.
- 11th March 1985y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 12th March 1985In a vector proof you find that vector PQ = 3a + 3b and vector RS = 12a + 12b. What does this show about PQ and RS?
- 13th March 1985A bag holds 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
- 14th March 1985On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 15th March 1985Rationalise the denominator of 55/sqrt(11), giving your answer in its simplest form.
- 16th March 1985Solve x^2 + 7x + 6 < 0.
- 17th March 1985y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 5.
- 18th March 1985A cuboid measures 11 cm by 10 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th March 1985A bag holds 5 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th March 1985A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
- 21st March 1985Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 22nd March 1985Write x^2 + 14x - 12 in the form (x + a)^2 + b.
- 23rd March 1985y is directly proportional to sqrt(x). When x = 4, y = 6. Work out y when x = 25.
- 24th March 1985A cuboid measures 8 cm by 13 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th March 1985A bag holds 5 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th March 1985On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 27th March 1985A rectangle is 5 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th March 1985Work out the coordinates of the turning point of y = x^2 + 14x - 9.
- 29th March 1985A train slows steadily from 18 m/s to rest in 4 seconds. Work out its deceleration.
- 30th March 1985The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 31st March 1985A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.