Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th February 2015
- 1Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 2Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?
- 4Surds3 marks
Rationalise the denominator of 36/sqrt(6), giving your answer in its simplest form.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
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