Daily Practice

Higher Plus

27th November 1956

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 5 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 3. How many values in total?
4
Surds3 marks
Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
5
Quadratic Inequalities3 marks
Solve x^2 + 9x + 14 < 0.

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