Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

30th July 2022

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

1
Inverse and Composite Functions3 marks
f(x) = 6x - 4 and g(x) = 4x - 3. Work out fg(-2).
2
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 11 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
3
Proof of the Circle Theorems2 marks
In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
4
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.
5
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

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