Daily Practice

Higher Plus

24th September 1974

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 (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 5 red, 7 blue and 6 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 10-wide bar and a 30-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 (3 + sqrt(6))(3 - sqrt(6)).
5
Inverse and Composite Functions3 marks
f(x) = 5x + 8 and g(x) = 4x + 1. Work out fg(5).

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