Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2020
- 1Completing the Square3 marks
Write x^2 - 12x + 12 in the form (x + a)^2 + b.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 6 m/s to 22 m/s over 8 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 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 20 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
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