Daily Practice

Higher Plus

14th August 1976

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Perpendicular Lines and the equation of a tangent3 marks
The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 6 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
4
Bounds3 marks
A car covers 800 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.

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