Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th February 2015

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 10-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 (5 + sqrt(10))(5 - sqrt(10)).
3
Inverse and Composite Functions3 marks
f(x) = 3x + 7 and g(x) = 4x - 8. Work out fg(3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 7 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 OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.

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