Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 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 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 5Algebraic Fractions3 marks
Simplify (x^2 - 4x - 12)/(x + 2).
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