Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 10, 19, 32. Work out the second difference, and the coefficient of n^2.
- 2Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 7 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 4Probability 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.
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
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