Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

29th June 2007

5 questions · 14 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
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 6x - 9. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out the positive value of x when y = 48.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

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