Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th April 2025

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

1
Conditional Probability3 marks
A bag holds 5 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 20-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Surds3 marks
Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
4
Completing the Square3 marks
Write x^2 + 6x - 4 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 72. Work out y when x = 6.

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