Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Inverse and Composite Functions3 marks
f(x) = 2x + 1 and g(x) = 6x - 1. Work out fg(-1).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 54. Work out the positive value of x when y = 24.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
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