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 two angles at the circumference stand on the same arc. 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) = 2/7. Work out r.
- 3Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
- 4Bounds3 marks
A rectangle is 8 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 18, 35, 58. Work out the second difference, and the coefficient of n^2.
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