Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th August 2004

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 - 6x + 8)/(x - 2).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 24 m/s over 12 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 two tangents are drawn to a circle from the same external point. State the reason being quoted.

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