Daily Practice

Higher Plus

16th March 1982

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 (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 5 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, one 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
5
Iteration3 marks
Use the iteration x(n+1) = cube root of (7x(n) + 3) with x(0) = 5. Work out x(1) to 3 decimal places.

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