Daily Practice

Higher Plus

30th March 1967

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

1
Conditional Probability3 marks
A bag holds 5 red, 6 blue and 6 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 3, 1, 2, 0.5. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
4
Algebraic Fractions3 marks
Simplify (x^2 + 6x + 8)/(x + 2).
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 49.

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