Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th August 2010

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

1
Conditional Probability3 marks
A bag holds 8 red and 5 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 0 < x <= 5 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 8x^2 - 10x - 25 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.

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