Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
1st December 2006
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
- 3Factorising Harder Quadratics3 marks
Solve 15x^2 + 8x + 1 = 0.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 19 m/s over 8 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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