Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
6th January 2023
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 2Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.
- 3Completing the Square3 marks
Write x^2 + 6x - 9 in the form (x + a)^2 + b.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 16 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 triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
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