Daily Practice

Higher Plus

16th February 1958

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 1.5. How many more values are in the wider class?
2
Bounds3 marks
x = 175 and y = 94, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (0, -5) lies on y = f(x). Write down its image on y = f(x + 1).
4
Velocity Time Graphs3 marks
A tram runs at 5 m/s for 30 s, then slows steadily to rest over 10 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 a tangent meets a radius at the point of contact. State the reason being quoted.

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