Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
23rd March 2016
- 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 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 3Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 4Bounds3 marks
A rectangle is 22 cm by 6 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5Factorising Harder Quadratics3 marks
Solve 8x^2 - 2x - 1 = 0.
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