Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th October 2013

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 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?
2
Surds3 marks
Rationalise the denominator of 77/sqrt(11), giving your answer in its simplest form.
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 12x + 14.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 10 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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