Daily Practice

Higher Plus

2nd February 1989

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

1
Conditional Probability3 marks
A bag holds 4 red, 7 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 1, 2, 0.5, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).
4
Factorising Harder Quadratics3 marks
Solve 15x^2 - 23x + 6 = 0.
5
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 12. Work out y when x = 2.

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