Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
19th August 2021
- 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 40 < x <= 60 has a frequency density of 1.2. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(72) + sqrt(72), giving your answer in the form a sqrt(b).
- 4The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 3, 9, 19, 33. Work out the second difference, and the coefficient of n^2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
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