Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(18) + sqrt(50), giving your answer in the form a sqrt(b).
- 3The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 7, 12, 21, 34, ...
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 22 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
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