Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(8) + sqrt(32), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
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