Daily Practice

Higher Plus

22nd October 1963

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 (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, 3 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 20 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(11))(3 - sqrt(11)).
5
Transforming Graphs y=f(x)3 marks
The point (1, 4) lies on y = f(x). Write down its image on y = f(x + 2).

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