Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
25th September 2014
- 1Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 2Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 0.4. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
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