Daily Practice

Higher Plus

9th May 1972

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 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -2, 6, 20, 40, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 17 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + b and vector RS = 6a + 2b. What does this show about PQ and RS?

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