Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
21st January 2021
- 1Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 5/12. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(75) + sqrt(108), giving your answer in the form a sqrt(b).
- 4Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 27. Work out y when x = 81.
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