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
On a histogram the bar for 40 < x <= 45 has a frequency density of 2.4. How many values are in that class?
- 3Bounds3 marks
x = 89 and y = 54, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
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