Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st August 2014
- 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
Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Write x^2 + 12x - 3 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A tram runs at 15 m/s for 10 s, then slows steadily to rest over 10 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 a radius is drawn to the midpoint of a chord. State the reason being quoted.
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