Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
- 3Completing the Square3 marks
Write x^2 - 4x - 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 4 m/s to 8 m/s over 8 seconds. Work out the acceleration.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
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