Daily Practice · Higher Plus

Daily Practice - Higher Plus

26th November 1991

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 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (3 + sqrt(6))(3 - sqrt(6)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 6, 21, 44, 75, ...
4
Velocity Time Graphs3 marks
A tram runs at 9 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 = 2a + 2b and vector RS = 8a + 8b. What does this show about PQ and RS?

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