Daily Practice

Higher Plus

23rd January 1958

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(50) + sqrt(98), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 5x + 6. Work out the inverse function f^-1(x).
4
Velocity Time Graphs3 marks
A tram runs at 5 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 = 6a + 5b and vector RS = 18a + 15b. What does this show about PQ and RS?

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