Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
3rd October 2023
- 1Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 2Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
- 3Transforming Graphs y=f(x)3 marks
The point (-6, 0) lies on y = f(x). Write down its image on y = f(x + 6).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 5 m/s to 15 m/s over 4 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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