Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th February 1997

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Conditional Probability3 marks
A bag holds 6 red, 7 blue and 5 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 10-wide classes from 0, with frequency densities 0.5, 2, 3, 1. Which class contains the median?
3
Surds3 marks
Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
4
Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 49.

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