Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

31st December 2024

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 2, 0.5, 3, 1. Which class contains the median?
3
Surds3 marks
Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
4
Quadratic Inequalities3 marks
Solve x^2 - 11x + 24 > 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 81.

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