Daily Practice

Higher Plus

17th June 1976

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 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(72) + sqrt(72), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 6/(x - 4) + 4/(x - 3) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 6 m/s for 20 s, then slows steadily to rest over 10 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 = 4a - b and vector RS = 12a - 3b. What does this show about PQ and RS?

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