Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

21st July 2015

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 7 red, 5 blue and 3 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 10 units wide with frequency density 1.5, one 10 units wide with density 0.6. How many values in total?
4
Surds3 marks
Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
5
Quadratic Inequalities3 marks
Solve x^2 - 5x > 0.

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