Daily Practice

Higher Plus

30th November 1965

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 20-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 (7 + sqrt(6))(7 - sqrt(6)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 7) with x(0) = 3. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 22 m/s over 6 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 (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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