Daily Practice

Higher Plus

20th June 1958

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 3 red, 3 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 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
4
Surds3 marks
Rationalise the denominator of 12/sqrt(2), giving your answer in its simplest form.
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 6) with x(0) = 5. Work out x(1) to 3 decimal places.

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