Daily Practice

Higher Plus

28th August 1962

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 (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 6 blue and 3 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 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (12x(n) + 1) with x(0) = 5. Work out x(1) to 3 decimal places.

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