Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

26th September 2023

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

1
Conditional Probability3 marks
A bag holds 5 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
2
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
4
Inverse and Composite Functions3 marks
f(x) = 4x + 10. Work out the inverse function f^-1(x).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.

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