Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th January 2008
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 3Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 4Velocity Time Graphs3 marks
A tram runs at 4 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
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