Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th December 2024
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Simplify sqrt(27) + sqrt(108), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 10.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 27 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 exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
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