Daily Practice

Higher Plus

14th December 1976

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 10-wide bar and a 40-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 (4 + sqrt(2))(4 - sqrt(2)).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 6.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 29 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 = 4a - 3b and vector RS = 12a - 9b. What does this show about PQ and RS?

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