Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
24th April 2025
- 1Conditional Probability3 marks
A bag holds 7 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 10 < x <= 15 has a frequency density of 3.5. How many values are in that class?
- 3Surds3 marks
Simplify sqrt(18) + sqrt(72), giving your answer in the form a sqrt(b).
- 4Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 8x + 2.
- 5Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
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