Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
27th January 2017
- 1Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 2x + 12.
- 2Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 12 m/s over 10 seconds. Work out the acceleration.
- 3Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 4Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 5Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
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