Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
4th March 2012
- 1Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
x = 155 and y = 132, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3Proof2 marks
In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 10 m/s over 12 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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
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