Daily Practice

Higher Plus

10th September 1953

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

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-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(80), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 2x + 5 and g(x) = 4x - 1. Work out fg(1).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 5 m/s to 12 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 a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.

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