Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
28th August 2007
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 2Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
- 3Completing the Square3 marks
Write x^2 + 12x + 1 in the form (x + a)^2 + b.
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 14.5 m/s over 5 seconds. Work out the acceleration.
- 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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