Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
12th March 2023
- 1Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/14. Work out r.
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
- 3Bounds3 marks
x = 84 and y = 62, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 2.
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