Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
2nd January 2019
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 5/22. Work out r.
- 2Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.2. How many values are in that class?
- 3Bounds3 marks
A rectangle is 22 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 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 = 3, y = 108. Work out y when x = 5.
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