Daily Practice

Higher Plus

6th June 1972

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Perpendicular Lines and the equation of a tangent3 marks
The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 5 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms2 marks
On 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?
4
Surds3 marks
Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.

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