Daily Practice

Higher Plus

11th October 1954

5 questions · 14 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 2.5. How many more values are in the wider class?
2
Bounds3 marks
A block has mass 890 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
3
Transforming Graphs y=f(x)3 marks
The point (1, 6) lies on y = f(x). Write down its image on y = -f(x).
4
Velocity Time Graphs3 marks
A tram runs at 7 m/s for 20 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 6b and vector RS = 2a - 12b. What does this show about PQ and RS?

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