Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
20th September 2015
- 1Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
- 2Histograms3 marks
On a histogram the bar for 50 < x <= 60 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
x = 64 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Proof3 marks
Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
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