Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th August 2005
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 690 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 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 3 m/s to 22 m/s over 10 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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