Daily Practice

Higher Plus

19th November 1974

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 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
3
Transforming Graphs y=f(x)3 marks
The point (-5, -6) lies on y = f(x). Write down its image on y = f(x + 6).
4
Velocity Time Graphs3 marks
A tram runs at 20 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
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.

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