Daily Practice · Higher Plus
February 1986 5-a-day
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The batch download puts all 5 tiers' February 1986 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1986On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2nd February 1986x = 102 and y = 67, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3rd February 1986Simplify (x^2 + 14x + 48)/(x + 6).
- 4th February 1986A train slows steadily from 30 m/s to rest in 5 seconds. Work out its deceleration.
- 5th February 1986In a vector proof you find that vector PQ = 5a - 5b and vector RS = 15a - 15b. What does this show about PQ and RS?
- 6th February 1986A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.
- 7th February 1986A histogram has two bars: one 10 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
- 8th February 1986A car covers 790 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 9th February 1986In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 10th February 1986y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
- 11th February 1986A cuboid measures 6 cm by 7 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th February 1986A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th February 1986On 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?
- 14th February 1986Rationalise the denominator of 8/sqrt(2), giving your answer in its simplest form.
- 15th February 1986Make x the subject of 7x + 4 = y(x + 4).
- 16th February 1986y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
- 17th February 1986A cuboid measures 11 cm by 14 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th February 1986A bag holds 6 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th February 1986A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 0.8. How many values in total?
- 20th February 1986Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).
- 21st February 1986Write 2/(x + 2) + 7/(x + 3) as a single fraction.
- 22nd February 1986y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 36.
- 23rd February 1986The 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.
- 24th February 1986A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 6/11. Work out r.
- 25th February 1986On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 26th February 1986A rectangle is 10 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 27th February 1986Solve 9x^2 + 3x - 20 = 0.
- 28th February 1986A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.