Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
10th July 2022
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2Bounds3 marks
x = 79 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Rearranging Harder Formulae3 marks
Make x the subject of 6x + 2 = y(x + 2).
- 4Velocity Time Graphs3 marks
A tram runs at 13 m/s for 30 s, then slows steadily to rest over 4 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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