Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Inverse and Composite Functions3 marks
f(x) = 5x + 6 and g(x) = 2x - 2. Work out fg(0).
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 19 m/s over 4 seconds. Work out the acceleration.
- 3Proof 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.
- 4Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
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