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 radius is drawn to the midpoint of a chord. 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 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 4Bounds3 marks
x = 31 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.
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