Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th August 2003

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 5, 11, 19, 29, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 20 m/s over 10 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 the angle in a semicircle is being proved. State the reason being quoted.

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