Daily Practice

Higher Plus

18th September 1956

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 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -2, 1, 8, 19, ...
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 7 m/s to 24 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Perpendicular Lines and the equation of a tangent3 marks
The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.

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