Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
31st December 2023
- 1Conditional Probability3 marks
A bag holds 5 red, 7 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
On a histogram the bar for 40 < x <= 50 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
x = 104 and y = 16, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Factorising Harder Quadratics3 marks
Solve 12x^2 + 7x - 12 = 0.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
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