Daily Practice

Higher Plus

17th June 1969

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

1
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 6 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 <= 60 has a frequency density of 3.5. How many values are in that class?
3
Surds3 marks
Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 8x + 15.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.

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