Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st September 2022

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

1
Conditional Probability3 marks
A bag holds 9 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
3
Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
4
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 0, 9, 24, 45, ...
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 144. Work out y when x = 6.

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