Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

14th March 2012

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Proof 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.
2
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
4
Bounds3 marks
A rectangle is 15 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
5
Quadratic Inequalities3 marks
Solve x^2 + 7x + 12 < 0.

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