Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
- 2Histograms3 marks
On a histogram the bar for 20 < x <= 25 has a frequency density of 1.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).
- 4Transforming Graphs y=f(x)3 marks
The point (-2, 3) lies on y = f(x). Write down its image on y = f(x - 5).
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
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