Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd January 2020

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. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 4 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Inverse and Composite Functions3 marks
f(x) = 4x - 1. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 10 m/s to 28 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 three angles of triangle OAB are being summed. State the reason being quoted.

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