Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
14th April 2010
- 1Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 2Bounds3 marks
A rectangle is 4 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Inverse and Composite Functions3 marks
f(x) = 2x + 4. Work out the inverse function f^-1(x).
- 4Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 33 m/s over 20 seconds. Work out the acceleration.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
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