Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th July 2011

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

1
Conditional Probability3 marks
A bag holds 6 red, 4 blue and 5 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 50 < x <= 70 has a frequency density of 0.4. 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
Transforming Graphs y=f(x)3 marks
The point (-6, -1) lies on y = f(x). Write down its image on y = f(x) - 5.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.

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