Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th November 2008
- 1Transforming Graphs y=f(x)3 marks
The point (4, 1) lies on y = f(x). Write down its image on y = f(-x).
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 56 m/s over 20 seconds. Work out the acceleration.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 1.4. How many values in total?
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