Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
7th January 2000
- 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?
- 2Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
- 3Transforming Graphs y=f(x)3 marks
The point (1, -4) lies on y = f(x). Write down its image on y = f(-x).
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 12 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 two tangents are drawn to a circle from the same external point. State the reason being quoted.
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