Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th October 2017
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A rectangle is 17 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 10 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 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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