Daily Practice

Higher Plus

9th December 1977

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 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 11, 27, 51, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 8 m/s to 27 m/s over 10 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 = a + 6b and vector RS = 2a + 12b. What does this show about PQ and RS?

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