Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th November 2020
- 1The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 10, 21, 36, 55, ...
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 27.
- 3Proof 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.
- 4Probability 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.
- 5Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?
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