Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th December 1995

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

1
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
2
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 2, 1, 0.5, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(72) + sqrt(98), giving your answer in the form a sqrt(b).
4
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x - 5.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.

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