Daily Practice

Higher Plus

15th September 1959

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (6 + sqrt(10))(6 - sqrt(10)).
3
Algebraic Fractions3 marks
Write 2/(x + 5) + 2/(x + 4) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 16 m/s for 20 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 = a + 6b and vector RS = 5a + 30b. What does this show about PQ and RS?

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