Daily Practice

Higher Plus

14th September 1982

5 questions · 14 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
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
3
Transforming Graphs y=f(x)3 marks
The point (-5, 0) lies on y = f(x). Write down its image on y = f(x) + 2.
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 10 s, then slows steadily to rest over 4 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 = 5a + b and vector RS = 15a + 3b. What does this show about PQ and RS?

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