Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
9th October 2016
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 115 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Transforming Graphs y=f(x)3 marks
The point (-6, -5) lies on y = f(x). Write down its image on y = f(-x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 22 m/s over 4 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 a tangent meets a radius at the point of contact. State the reason being quoted.
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