Daily Practice

Higher Plus

21st October 1952

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 2.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 10, 23, 44, 73, ...
4
Velocity Time Graphs3 marks
A tram runs at 12 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 + 4b and vector RS = 30a + 20b. What does this show about PQ and RS?

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