Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
5th February 2021
- 1Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 25 and y = x + 1 simultaneously.
- 2Velocity Time Graphs3 marks
A tram runs at 17 m/s for 20 s, then slows steadily to rest over 4 s. Work out its average speed for the whole journey, to 2 decimal places.
- 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 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
- 5Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
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