Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st September 2010
- 1Proof 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.
- 2Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
- 5Transforming Graphs y=f(x)3 marks
The point (-4, 6) lies on y = f(x). Write down its image on y = f(x + 6).
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