Daily Practice · Higher Plus

Daily Practice - Higher Plus

15th October 1992

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 2. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 6x + 9 and g(x) = 2x + 1. Work out fg(-3).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 8 m/s over 4 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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