Daily Practice

Higher Plus

5th October 1989

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 (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
2
Conditional Probability3 marks
A bag holds 3 red, 7 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 5 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
4
Surds3 marks
Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).
5
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 3, 8, 17, 30, ...

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