Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th March 1995

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (11x(n) + 3) with x(0) = 1. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 33 m/s over 20 seconds. Work out the acceleration.
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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