Daily Practice · Higher Plus

Daily Practice - Higher Plus

12th April 1994

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 6 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 10-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Expand and simplify (5 + sqrt(10))(5 - sqrt(10)).
5
Inverse and Composite Functions3 marks
f(x) = 2x + 3 and g(x) = 2x + 3. Work out fg(2).

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