Daily Practice

Higher Plus

28th December 1954

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
3
Inverse and Composite Functions3 marks
f(x) = 6x - 1. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 175. Work out the positive value of x when y = 567.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

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