Daily Practice

Higher Plus

12th August 1986

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 30-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 (6 + sqrt(2))(6 - sqrt(2)).
3
Transforming Graphs y=f(x)3 marks
The point (-4, 3) lies on y = f(x). Write down its image on y = -f(x).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 4 m/s to 12 m/s over 12 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 (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.

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