Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
29th January 2023
- 1Conditional Probability3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2Histograms3 marks
On a histogram the bar for 60 < x <= 65 has a frequency density of 1.5. How many values are in that class?
- 3Bounds3 marks
x = 37 and y = 19, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 16x + 5.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
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