Daily Practice

Higher Plus

17th July 1969

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 4 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 1, 0.5, 3, 2. Which class contains the median?
3
Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 8x^2 + 2x - 1 = 0.
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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