Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th September 2016
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 8, 26, 52, 86. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 8 m/s over 8 seconds. Work out the acceleration.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 1/28. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
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