Daily Practice

Higher Plus

3rd October 1978

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 (3, 4) lies on the circle x^2 + y^2 = 25. 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 5 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).
5
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?

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