Daily Practice

Higher Plus

9th March 1989

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

1
Perpendicular Lines and the equation of a tangent3 marks
The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 5 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
3
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
4
Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 2) with x(0) = 4. Work out x(1) to 3 decimal places.

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