Daily Practice · Higher Plus

Daily Practice - Higher Plus

13th December 1995

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Inverse and Composite Functions3 marks
f(x) = 2x - 12. Work out the inverse function f^-1(x).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 441.
3
Perpendicular Lines and the equation of a tangent3 marks
The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
4
Conditional Probability3 marks
A bag holds 4 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?

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