Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st May 2018

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

1
Conditional Probability3 marks
A bag holds 4 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 1.2. How many values are in that class?
3
Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 4x^2 - 4x - 3 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 3.

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