Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
26th September 2024
- 1Conditional Probability3 marks
A bag holds 3 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(45) + sqrt(180), giving your answer in the form a sqrt(b).
- 4Completing the Square3 marks
Write x^2 + 16x - 14 in the form (x + a)^2 + b.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 16.
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