Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
22nd March 2020
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 147 and y = 89, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Completing the Square3 marks
Write x^2 + 12x + 2 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A tram runs at 12 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
- 5Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
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