Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th November 2021
- 1Histograms2 marks
On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.
- 3The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 5, 5, 7, 11. Work out the second difference, and the coefficient of n^2.
- 4Velocity Time Graphs3 marks
A tram runs at 16 m/s for 10 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 the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
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